Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T05:12:25.481951Z
Paper Citation Record · LEDGER
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media
As of 11 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 2 inbound Pith citation observations for arXiv:2412.17972.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T04:32:04.868507Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T05:28:18.983469Z
Reference resolution
30 of 30 outbound references displayed
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- verified fuzzy29
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f8959853-90f0-4d37-ae47-e06b22d92d96 · outbound
This paper cites Phase-field models for microstructure evolution.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Phase-field models for microstructure evolution
Reference 1
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 69dfbcb7-b858-4305-9dde-a5a71613b696 · outbound
This paper cites Phase-field models in materials science.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Phase-field models in materials science
Reference 2
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8a0e9bd1-5201-4091-bb44-1f8261a95d56 · outbound
This paper cites An introduction to phase-field modeling of mi- crostructure evolution.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media An introduction to phase-field modeling of mi- crostructure evolution
Reference 3
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0350ca55-1038-4d45-adfc-716fd0baa3c4 · outbound
This paper cites The diffuse interface approach in materials science: thermodynamic concepts and applications of phase-field models , volume 73.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media The diffuse interface approach in materials science: thermodynamic concepts and applications of phase-field models , volume 73
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:26.806653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9261137f-f871-4ca8-a7b1-793819bca4bb · outbound
This paper cites Phase-field simula- tion of solidification.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Phase-field simula- tion of solidification
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:26.784613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fcc268a1-50b4-48e2-baf1-91b6d644d2a3 · outbound
This paper cites Quantitative phase-field model of alloy solidification.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Quantitative phase-field model of alloy solidification
Reference 7
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d402ec61-f044-42a9-b724-f3a68502763b · outbound
This paper cites A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.763628Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 792aaf97-010b-43bb-8f37-c4d1dcdfa88f · outbound
This paper cites Phase field modeling of crack propagation.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Phase field modeling of crack propagation
Reference 9
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 33528a3c-172e-40ab-a476-49fd23a872f7 · outbound
This paper cites Morphogenesis and propagation of complex cracks induced by thermal shocks.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Morphogenesis and propagation of complex cracks induced by thermal shocks
Reference 10
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ea0ab014-9c06-45bf-b4fd-21515d5243db · outbound
This paper cites Modeling and numerical simulations of dendritic crystal growth.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Modeling and numerical simulations of dendritic crystal growth
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.732047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation abea9cf7-1717-4374-9d34-8942d52dd0c6 · outbound
This paper cites Phase-field modeling of two-dimensional crystal growth with anisotropic diffusion.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Phase-field modeling of two-dimensional crystal growth with anisotropic diffusion
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.721324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6a9221a5-178d-45fa-91b6-dba89987ac1e · outbound
This paper cites A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals.Journal of the Mechanics and Physics of Solids , 50(12):2597–2635, 2002.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals.Journal of the Mechanics and Physics of Solids , 50(12):2597–2635, 2002
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.710680Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 94752efe-b257-47a9-bfc6-4ede61d6da7f · outbound
This paper cites Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges
Reference 14
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d59e8f20-b6ee-42b2-9920-8bd2cdfb5f46 · outbound
This paper cites Free energy of a nonuniform system.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Free energy of a nonuniform system
Reference 15
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 71ab5b4b-63bf-4124-81b7-611ec57a2c31 · outbound
This paper cites A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
Reference 16
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 70cddf18-a370-424a-916b-27d0862e18ef · outbound
This paper cites Entropy production and the geometry of dissipative evolution equations.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Entropy production and the geometry of dissipative evolution equations
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.665365Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b0502990-2853-42cf-bba3-7b00b115bd05 · outbound
This paper cites New coarse-grained derivation of a phase field model for precipitation.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media New coarse-grained derivation of a phase field model for precipitation
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.652989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f2da7874-423b-4caf-a827-4c1929f2eb4f · outbound
This paper cites A statistical mechanics framework for con- structing nonequilibrium thermodynamic models.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media A statistical mechanics framework for con- structing nonequilibrium thermodynamic models
Reference 19
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 63aea9fb-f4b9-450a-ae5a-2bf3665c0331 · outbound
This paper cites Thermodynamics with internal variables.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Thermodynamics with internal variables
Reference 20
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8dc1c6b4-525c-40f6-bcc0-3aac9c7e641a · outbound
This paper cites Dynamics and thermodynamics of complex fluids.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Dynamics and thermodynamics of complex fluids
Reference 21
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9136f24a-b780-41ee-8d78-e5895e4e97fd · outbound
This paper cites Stochastic thermodynamics, fluctuation theorems and molecular machines.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Stochastic thermodynamics, fluctuation theorems and molecular machines
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.607056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2aae45b6-1aea-4e70-8e6d-60827debcbff · outbound
This paper cites Action principle in nonequilibrium statistical dynamics.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Action principle in nonequilibrium statistical dynamics
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.595669Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b1abaac6-e8d0-4322-9d68-7f0de4241dbc · outbound
This paper cites The fokker-planck equation.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media The fokker-planck equation
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.583660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2d741ef8-f328-4ee1-87ac-1072dce3013f · outbound
This paper cites Multi phase field model for solid state transformation with elastic strain.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Multi phase field model for solid state transformation with elastic strain
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:26.795010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e96e8369-f590-4937-8e67-f9db26f25e8e · outbound
This paper cites Handbook of mathematical functions with formulas, graphs, and mathematical tables , volume 55.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Handbook of mathematical functions with formulas, graphs, and mathematical tables , volume 55
Reference 26
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42388216-1ab1-48e1-bee0-ab0e01f6b86b · outbound
This paper cites Phase field modeling of simultaneous nucleation and growth by explicitly incorporating nucleation events.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Phase field modeling of simultaneous nucleation and growth by explicitly incorporating nucleation events
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.563679Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5d960e58-5f4f-493e-b526-8beafb70c1c9 · outbound
This paper cites Remarks on some open problems in phase-field modelling of solidification.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Remarks on some open problems in phase-field modelling of solidification
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.551149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2645f140-d139-4de6-b1e1-2ea037b2c48f · outbound
This paper cites ASM Handbook, volume 22A Fundamentals of Modeling for Metals Processing , chapter Modeling of nucleation processes, pages 203–219.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media ASM Handbook, volume 22A Fundamentals of Modeling for Metals Processing , chapter Modeling of nucleation processes, pages 203–219
Reference 29
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b20a490a-3cbc-4002-9907-92091c99d88b · outbound
This paper cites Combined molec- ular/continuum modeling reveals the role of friction during fast unfolding of coiled-coil proteins.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Combined molec- ular/continuum modeling reveals the role of friction during fast unfolding of coiled-coil proteins
Reference 30
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 94a223d4-a6ef-49e7-b0eb-20c0ac622a72 · outbound
This paper cites Robust kernel density estimation.
A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media Robust kernel density estimation
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:12:25.514938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
Observation 93192df9-a8e9-4784-874e-3d56790077b7 · inbound
Bridging statistical mechanics and thermodynamics away from equilibrium: a data-driven approach for learning internal variables and their dynamics cites this paper.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T04:32:04.868507Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84e98234-491e-4d54-8c1c-b84eea1ade26 · inbound
On a structure preserving closure of Langevin dynamics cites this paper.
On a structure preserving closure of Langevin dynamics A statistical mechanics derivation and implementation of non-conservative phase field models for front propagation in elastic media
Reference 6620
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:28:18.987382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.