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Paper Citation Record · LEDGER

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics

As of 11 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 1 inbound Pith citation observation for arXiv:2501.17993.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.17993 v1

Coverage vector

measured 75 of 75 reference resolution

Typed states for the displayed outbound observations.

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One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T05:28:18.951250Z

Reference resolution

75 of 75 outbound references displayed

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External citation measurements

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Outbound references

Observation e4a5e78b-181f-4fbd-b366-12124c9f9c38 · outbound

This paper cites Deep Variational Information Bottleneck.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Deep Variational Information Bottleneck

Reference 1

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Observation 87f1dc31-8ca0-4776-8868-bae5395e252b · outbound

This paper cites Input convex neural networks.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Input convex neural networks

Reference 2

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Observation b804ce7a-e0a0-424c-9197-b818e8949b6a · outbound

This paper cites Statistical Mechanics for Chemistry and Materials Science.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Statistical Mechanics for Chemistry and Materials Science

Reference 3

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This paper cites Reaction coordinates and rates from transition paths.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Reaction coordinates and rates from transition paths

Reference 4

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This paper cites Phase-field models for microstructure evolution.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Phase-field models for microstructure evolution

Reference 5

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This paper cites Diffusion maps.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Diffusion maps

Reference 6

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Observation a1a2f9cc-f2ed-4ecf-bdb0-b5f7c619dda5 · outbound

This paper cites Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems

Reference 7

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Observation 84858437-6e7d-4157-a92b-e1c941d4f97a · outbound

This paper cites Thermodynamics with internal state variables.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics with internal state variables

Reference 8

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This paper cites An approximation theorem for functionals, with applications in continuum mechanics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics An approximation theorem for functionals, with applications in continuum mechanics

Reference 9

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Observation cb6a3686-8d1d-4f88-b8f4-d51d9e405285 · outbound

This paper cites Foundations of linear viscoelasticity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Foundations of linear viscoelasticity

Reference 10

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Observation 3ef051cd-bb36-4859-a6cb-7d986c390e0a · outbound

This paper cites Elements of information theory.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Elements of information theory

Reference 11

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Observation 51a82eec-88b1-49f6-a406-272df46f5a4a · outbound

This paper cites Identifying structural flow defects in disordered solids using machine-learning methods.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Identifying structural flow defects in disordered solids using machine-learning methods

Reference 12

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This paper cites Onsager’s variational principle in soft matter.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Onsager’s variational principle in soft matter

Reference 13

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Computing committors in collective variables via Mahalanobis diffusion maps

Reference 14

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This paper cites Multiscale mass-spring models of carbon nanotube foams.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Multiscale mass-spring models of carbon nanotube foams

Reference 15

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Machine learning force fields and coarse-grained variables in molecular dynamics: application to materials and biological systems

Reference 16

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This paper cites Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems

Reference 17

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Deep learning

Reference 18

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This paper cites A presentation and comparison of two large deformation viscoelasticity models.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics A presentation and comparison of two large deformation viscoelasticity models

Reference 19

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Variational encoding of complex dynamics

Reference 20

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics On large strain viscoelasticity: continuum formulation and finite element applications to elastomeric structures

Reference 21

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Observation a89518bc-ad9f-4a15-a893-51b6b1d409f5 · outbound

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Neural autoregressive flows

Reference 22

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This paper cites Variational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEs.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Variational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEs

Reference 23

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This paper cites Principal components in regression analysis.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Principal components in regression analysis

Reference 24

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This paper cites Principal component analysis: a review and recent developments.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Principal component analysis: a review and recent developments

Reference 25

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Nonlinear elasto-plastic model for dense granular flow

Reference 26

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media

Reference 27

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics A statistical mechanics framework for constructing nonequilibrium thermodynamic models

Reference 28

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This paper cites Finite Strain Elastic-Plastic Theory with Application to Plane Wave Analysis.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Finite Strain Elastic-Plastic Theory with Application to Plane Wave Analysis

Reference 29

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Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

Reference 30

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This paper cites Thermomechanical theory of martensitic phase transformations in inelastic materials.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermomechanical theory of martensitic phase transformations in inelastic materials

Reference 31

Resolution
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This paper cites Learning macroscopic internal variables and history dependence from microscopic models.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Learning macroscopic internal variables and history dependence from microscopic models

Reference 32

Resolution
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This paper cites On the thermodynamic foundations of non-linear solid mechanics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics On the thermodynamic foundations of non-linear solid mechanics

Reference 33

Resolution
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Observation 3b239275-4fcc-4183-a555-6a5e06d406d3 · outbound

This paper cites Plasticity theory.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Plasticity theory

Reference 34

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.914407Z digest=sha256:0f7c8c2650f2432946b15a0a6e426c7fc5ad4cc7006854663b994af0723943fd

Observation 869b228c-f784-4696-9747-461cb4591fc3 · outbound

This paper cites Evolution TANN and the discovery of the internal variables and evolution equations in solid mechanics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Evolution TANN and the discovery of the internal variables and evolution equations in solid mechanics

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.567124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.919960Z digest=sha256:df9e0fc248bbb99d77e36fe117ee0be1c35985277e6a858a057a460ad29828fb

Observation d7cf51bc-431d-4c03-a67a-443be29a1c4c · outbound

This paper cites Multiscale modeling of inelastic materials with Thermodynamics-based Artificial Neural Networks (TANN).

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Multiscale modeling of inelastic materials with Thermodynamics-based Artificial Neural Networks (TANN)

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.543352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.931381Z digest=sha256:aa3cafbaf26921506356297bc020d368bc7204c9cb04b029871e39462140109f

Observation 7cb1f645-3498-489f-b13c-f123f002cd8b · outbound

This paper cites The thermomechanics of nonlinear irreversible behaviours.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics The thermomechanics of nonlinear irreversible behaviours

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.517679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.960520Z digest=sha256:5e1895bb52ba4daedd4f6d5bb4f900e93a778347ecd9277ae257aa8f19fcb4e3

Observation ed10ebf6-cca1-4434-8b5e-f2a78be36617 · outbound

This paper cites Thermodynamics with Internal Variables. Part I. General Concepts.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics with Internal Variables. Part I. General Concepts

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.486481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.969030Z digest=sha256:9fb9938294eba1de8d09a33920dc835123fbb192e4e83c6a807c0b6ec85fa961

Observation 0a7d9169-22e8-40ce-816a-f0e534068db7 · outbound

This paper cites Thermodynamics with Internal Variables. Part II. Applications.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics with Internal Variables. Part II. Applications

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.462701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.976785Z digest=sha256:8cf6f2e938cf21fa7cc9c3586b60f20d45f6fe1760da63da3077907b40102a64

Observation a790aca1-e3b0-411a-8773-0616aa95889f · outbound

This paper cites Continuum damage theory—application to concrete.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Continuum damage theory—application to concrete

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.428076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.984113Z digest=sha256:a35cc7489aa7c76e7269b96fc4aa42919884e6f1127897454bb2991d37c6503a

Observation 786f64d4-8bbe-4e49-b281-2e1781dcd240 · outbound

This paper cites Self-adaptive physics-informed neural networks.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Self-adaptive physics-informed neural networks

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.405467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:04.993991Z digest=sha256:ad1e20f4b880fdc6cf8e94dc2675c41db412c2f244e6ba341d7bd47775f52351

Observation f2b816b7-4051-4d50-9b9d-a525e2b5b70f · outbound

This paper cites Machine learning: a probabilistic perspective.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Machine learning: a probabilistic perspective

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.368509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.002106Z digest=sha256:44f1f7660f5c0d53c05cd44476ecb61184e344a98a8c139a57202a8fbc9153e4

Observation 5e61f3fd-a4ba-4f19-9003-c7f347219d6b · outbound

This paper cites Internal variables in non-equilibrium thermodynamics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Internal variables in non-equilibrium thermodynamics

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.335939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.010809Z digest=sha256:ebb6c155b01b5025aa9ed1ac71514689cc6b56dc03c1e75817d0753385b38b7a

Observation 0a3d1846-9dc1-42ef-9736-b4b001f296ff · outbound

This paper cites Beyond equilibrium thermodynamics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Beyond equilibrium thermodynamics

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.315701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.022974Z digest=sha256:787f6889ff452d6b22fd8af5c7fa024fd507ca1989464bab6dfc27733e56fe51

Observation 12b9bc7b-fa51-49be-9922-4ab26a87178c · outbound

This paper cites Statistical Mechanics: International Series of Monographs in Natural Philosophy.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Statistical Mechanics: International Series of Monographs in Natural Philosophy

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.292190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.033919Z digest=sha256:b61c37032cc6276c5641454d33a74e0a77a5a75d2ca8a45acfc28ad5fae040ef

Observation d22094bd-bd4a-487c-ad96-f3d680976044 · outbound

This paper cites Reaction coordinates and mechanistic hypothesis tests.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Reaction coordinates and mechanistic hypothesis tests

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.264598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.042524Z digest=sha256:8d65871f60e1f8d1ee33a70715b4efbb1db8df9544a5f4906c4387b70ba11882

Observation e860c715-f20a-4ab0-816b-2424c414d30a · outbound

This paper cites Thermodynamics of rate-independent plasticity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics of rate-independent plasticity

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.236927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.049921Z digest=sha256:0e4aca049c90d515712279b5366a301a6827f5136c3d974faf4ea93fdf99c2c6

Observation e9d20a17-0a10-489f-b5e7-eed1d57ece68 · outbound

This paper cites Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition F= FeFi.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition F= FeFi

Reference 48

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation e7ccbf42-cc03-47ae-9b7f-eaaa34ea72a4 · outbound

This paper cites Derivation of F= FeFp as the continuum limit of crystalline slip.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Derivation of F= FeFp as the continuum limit of crystalline slip

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.173373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.061193Z digest=sha256:a943fc348a8cd64599e1332e37fab73dd7dc43129fb3057b6e8d3a813e0c5b94

Observation 82f0f367-1a92-4edc-a1d7-d3ed4189c481 · outbound

This paper cites Kinematics of elasto-plasticity: Validity and limits of applicability of F= FeFp for general three-dimensional deformations.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Kinematics of elasto-plasticity: Validity and limits of applicability of F= FeFp for general three-dimensional deformations

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.150951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.070774Z digest=sha256:f806b80339a6c4543a4feb05526a2d6a32d6da74a1b492e1dbe0c3b225fb8dd5

Observation 5dd0209c-7d58-4023-b1bf-848632814c0a · outbound

This paper cites Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.123398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.078789Z digest=sha256:fec2fa4a22481f769c7b1f694178260378f15231ab65877d1727954e60bb30e4

Observation 1639098b-9d52-48af-9f7f-3575f8a1fcf1 · outbound

This paper cites Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Inelastic constitutive relations for solids: an internal-variable theory and its application to metal plasticity

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.100802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.095485Z digest=sha256:b2b689c244d1742f202074566f7851a1b23e13d0800c3fdad4d1cedadb56135d

Observation 0988ccee-5248-45df-8dfe-164ec7843224 · outbound

This paper cites Stress-dependent finite growth in soft elastic tissues.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Stress-dependent finite growth in soft elastic tissues

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.072401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.106425Z digest=sha256:a1b5b2d5c8ec0f55ff56db847de200a2205763f68e6f65bf124b3b7b2b174812

Observation fa36c4a5-032c-4ff7-b19b-d82716d87608 · outbound

This paper cites Determination of reaction coordinates via locally scaled diffusion map.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Determination of reaction coordinates via locally scaled diffusion map

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.037931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.115003Z digest=sha256:a9cb4bd55fb1955bca77db1f69776f89c0260dde3ade38e49bef59e2757ee342

Observation a08fb9ac-3981-45df-94c4-6b98754b8d49 · outbound

This paper cites Scaffolds, levers, rods and springs: diverse cellular functions of long coiled-coil proteins.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Scaffolds, levers, rods and springs: diverse cellular functions of long coiled-coil proteins

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:06.004142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.120124Z digest=sha256:ed60757acd316b719d9ecde636206cc21a11437fc322642be1ce1d782712b5de

Observation 582b1334-5b11-4023-b03e-0c2aa9e3b506 · outbound

This paper cites Hyper-reduction of mechanical models involving internal variables.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Hyper-reduction of mechanical models involving internal variables

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.974120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.126048Z digest=sha256:eb65e3de767fcd577c040939f7fa10ac157edc750f987244e7753378d6eff673

Observation bd2ef92c-75da-4d00-8e73-f78c69116996 · outbound

This paper cites Second law, entropy production, and reversibility in thermodynamics of information.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Second law, entropy production, and reversibility in thermodynamics of information

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.950251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.132034Z digest=sha256:5d32b2d631256b66b3bbeda98fc16155dff24798cded54cfe00cffe7bc281310

Observation 946240e4-a3e9-4b62-b1b6-d055c4c6726e · outbound

This paper cites Relationship between local structure and relaxation in out-of-equilibrium glassy systems.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Relationship between local structure and relaxation in out-of-equilibrium glassy systems

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.927447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.138786Z digest=sha256:4c64c23ef16c06b4243b6ae70695e65d7f87395f9d13da3724ac83c52a59bade

Observation e23778b0-c9d9-4135-87c2-a0f15de753fb · outbound

This paper cites Statistical mechanics: entropy, order parameters, and complexity.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Statistical mechanics: entropy, order parameters, and complexity

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.903846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.146572Z digest=sha256:abb5c16bf89d6aca199939b37cfae78e2168e381412ef37fbae0fc192ddc27b6

Observation 843df122-2dbc-4f1a-8022-66e9df5dc84c · outbound

This paper cites Elasto-viscoplastic phase field modelling of anisotropic cleavage fracture.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Elasto-viscoplastic phase field modelling of anisotropic cleavage fracture

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.870722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.156436Z digest=sha256:0f44a361c3c94a78377fcc2969c943486cede77f49d2819fcff517e1247e4311

Observation 22bec120-6c53-4bbc-b0ba-ac564647dc66 · outbound

This paper cites Information bottleneck approach to predictive inference.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Information bottleneck approach to predictive inference

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.841956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.161354Z digest=sha256:3b2bc7c371dd0e7df12a509da546220ec6f433bea49eec593a9a4cd7c9fb30bb

Observation 1a3b9385-4f4c-4cc7-8c8d-93a742b1b382 · outbound

This paper cites Thermodynamics of prediction.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Thermodynamics of prediction

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.815700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.166659Z digest=sha256:af04fea021665b275f0773e425d184785d3305cca0f4fdc9ce52e76a2331c521

Observation 23957019-58c9-4f8f-90d3-b5afcbb0ca22 · outbound

This paper cites Machine learning materials physics: Integrable deep neural networks enable scale bridging by learning free energy functions.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Machine learning materials physics: Integrable deep neural networks enable scale bridging by learning free energy functions

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.786773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.182331Z digest=sha256:01d222a1c6178710a379ab4ff397313d795b1426b3671be90445ace13510dc7d

Observation 49df8c8f-c361-4682-8989-75677e18e9dc · outbound

This paper cites Scale bridging materials physics: Active learning workflows and integrable deep neural networks for free energy function representations in alloys.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Scale bridging materials physics: Active learning workflows and integrable deep neural networks for free energy function representations in alloys

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.764160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.188885Z digest=sha256:dc9aea955b1a194cb9f759a041fdde59d760aee2cb4b0373110197303785b094

Observation 02da389c-cfe3-4489-8833-85264e8dc5d9 · outbound

This paper cites A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I—Theory.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I—Theory

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.738531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.194074Z digest=sha256:714f1aceb635efeb6d0ee9758467cfea5e8d8d94083f367d1c824f432164da45

Observation 7cf85d92-03d4-4fe0-b7d7-3f8b07a2d8a3 · outbound

This paper cites The information bottleneck method.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics The information bottleneck method

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-10T04:32:05.201853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:32:05.201853Z digest=sha256:3d0fa4ce3f6a434b79c859aa9c2bebf67945b1358afb555be36ccfbf30af06ac

Observation 15e8af3b-a747-4a10-a043-b72be1cfc5de · outbound

This paper cites Combined molecular/continuum modeling reveals the role of friction during fast unfolding of coiled-coil proteins.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Combined molecular/continuum modeling reveals the role of friction during fast unfolding of coiled-coil proteins

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.710872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.209497Z digest=sha256:4f4698a03053f3ce3c27901dacea1773058ff8a6b71bfef41b1743c485477f34

Observation 54485a81-0d7f-4fbd-80a1-262a16e413f3 · outbound

This paper cites Roadmap on multiscale materials modeling.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Roadmap on multiscale materials modeling

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.683368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation cd531680-ac4c-431f-b24a-a244202ecfc0 · outbound

This paper cites Interpretable embeddings from molecular simulations using Gaussian mixture variational autoencoders.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Interpretable embeddings from molecular simulations using Gaussian mixture variational autoencoders

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.658770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 97f98a7f-795b-4193-bfd1-1509fc30179c · outbound

This paper cites Universal approximation of functions on sets.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Universal approximation of functions on sets

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.629055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 6f794b75-ef00-4c97-8159-8d4d478bb4ef · outbound

This paper cites When and why PINNs fail to train: A neural tangent kernel perspective.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics When and why PINNs fail to train: A neural tangent kernel perspective

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.601015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation c9853c82-199f-4ecd-a73c-ea1c5070b166 · outbound

This paper cites Past–future information bottleneck for sampling molecular reaction coordinate simultaneously with thermodynamics and kinetics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Past–future information bottleneck for sampling molecular reaction coordinate simultaneously with thermodynamics and kinetics

Reference 72

Resolution
malformed identifier
raw_fallback, observed 2026-08-10T04:32:05.565774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.255353Z digest=sha256:65a0eaa475d878611e586afe8b4a7dfdc3d5ec562f9ffb5ad2e7a06b11658ea9

Observation c145c9df-b303-46dc-a3ae-ba24f70a3811 · outbound

This paper cites Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.538636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T04:32:05.267043Z digest=sha256:ea17586d5a13ae5bf2e24869be466c58f6b359a0762733d6e57ca0ec36dd895c

Observation b6790d98-51b1-4f6a-9dbf-c02864214dbf · outbound

This paper cites Learning Likelihoods with Conditional Normalizing Flows.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Learning Likelihoods with Conditional Normalizing Flows

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-10T04:32:05.281151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:32:05.281151Z digest=sha256:b7a8f5b8bd8a4f258cf7cc804a4b169e921ff62a1f4cfbcf3a8e3c66829f0e49

Observation 9736105f-7a35-4a6a-b868-7055f4f37007 · outbound

This paper cites Deep sets.

Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics Deep sets

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:32:05.508214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Pith citing papers

Observation 53f1b902-53dc-4d87-8e84-126621d391e3 · inbound

On a structure preserving closure of Langevin dynamics cites this paper.

On a structure preserving closure of Langevin dynamics Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:28:18.958235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:28:18.918896Z digest=sha256:1cbb87357d5e01f09cf90fceecbc7e544003762e9f0a32f54cbd348e08e0e265