Paper Citation Record · LEDGER

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport

As of 14 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2506.09465.

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pith.paper-citation-record.v1
2506.09465 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:54:38.486196Z

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One-hop event checks from named stored sources.

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:50:04.819806Z

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Source: pith, observed 2026-08-06T23:50:04.900774Z

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation 47642a5f-847f-45f0-98ae-0f2924c9752f · outbound

This paper cites Nanoscale energy transport and conversion a parallel treatment of electrons molecules phonons and photons mit pappalardo series in mechanical engineering by gang chen.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Nanoscale energy transport and conversion a parallel treatment of electrons molecules phonons and photons mit pappalardo series in mechanical engineering by gang chen

Reference 1

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Observation 3ea86523-45e0-4762-8dff-04908eaf6aec · outbound

This paper cites Colloquium: phononic thermal properties of two-dimensional materials.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Colloquium: phononic thermal properties of two-dimensional materials

Reference 2

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Observation 361e8267-e4ef-4ba8-aad9-d454ee033f56 · outbound

This paper cites Interfacial thermal resistance: Past, present, and future.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Interfacial thermal resistance: Past, present, and future

Reference 3

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Observation 02bd3f18-fcea-4c8b-914d-c697ffb758f4 · outbound

This paper cites Review of multiscale simulation in submicron heat transfer.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Review of multiscale simulation in submicron heat transfer

Reference 4

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Observation 36334cfe-16cd-4171-95bf-8ca8d83683d4 · outbound

This paper cites Electrons and phonons: the theory of transport phenomena in solids.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Electrons and phonons: the theory of transport phenomena in solids

Reference 5

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Observation fa06e81a-b422-49f9-ad45-f52b17066fe1 · outbound

This paper cites A comparative study of submicron phonon transport using the boltzmann transport equation and the lattice boltzmann method.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport A comparative study of submicron phonon transport using the boltzmann transport equation and the lattice boltzmann method

Reference 6

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Observation e2433ea0-9e0e-448f-ac03-ad1bbd3eba32 · outbound

This paper cites Boltzmann transport equation for thermal transport in electronic materials and devices.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Boltzmann transport equation for thermal transport in electronic materials and devices

Reference 7

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Observation 0a3626b7-41e1-4de7-a4f7-774d0050a60f · outbound

This paper cites Boltzmann transport equation based modeling of phonon heat conduction: Progress and challenges.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Boltzmann transport equation based modeling of phonon heat conduction: Progress and challenges

Reference 8

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Observation 3c7b0554-4c34-435c-9861-ca45ea44f30e · outbound

This paper cites Progress of discrete unified gas-kinetic scheme for multiscale flows.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Progress of discrete unified gas-kinetic scheme for multiscale flows

Reference 9

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Observation 36d730dd-f502-4494-a9d0-25edd06643f4 · outbound

This paper cites Peraud, Colin D.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Peraud, Colin D

Reference 10

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Observation 2e302d92-0144-4a9d-96ad-2c4a86d7e52b · outbound

This paper cites Monte Carlo transient phonon transport in sil- icon and germanium at nanoscales.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Monte Carlo transient phonon transport in sil- icon and germanium at nanoscales

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.949862Z

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Observation 62aacaa6-78c5-4035-871f-956cf539069c · outbound

This paper cites Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media

Reference 12

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Observation fe1b8a69-4885-48c9-8d08-b1200e8b7fd5 · outbound

This paper cites Finite volume method for radiative heat transfer using unstructured meshes.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Finite volume method for radiative heat transfer using unstructured meshes

Reference 13

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Observation 748d4f75-2e2a-4105-b074-0aefbd515fb8 · outbound

This paper cites Sadayappan, and Arpit Mittal.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Sadayappan, and Arpit Mittal

Reference 14

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Observation 1cf6d41b-d9ae-4be1-86a3-5d1f778f65cb · outbound

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Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unresolved cited work

Reference 15

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Observation 6e371956-b01e-47c2-99bf-0e3f43521c69 · outbound

This paper cites Molecular Gas Dynamics And The Direct Simulation Of Gas Flows.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Molecular Gas Dynamics And The Direct Simulation Of Gas Flows

Reference 16

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Observation de5ea1cf-cab5-4903-9e7b-6991b3f1ce0a · outbound

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Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unresolved cited work

Reference 17

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Observation d3b8118b-271d-49f4-af04-593e35dbefa6 · outbound

This paper cites Monte Carlo study of phonon transport in solid thin films including dispersion and polarization.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Monte Carlo study of phonon transport in solid thin films including dispersion and polarization

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.359545Z

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Observation 615be956-d0d0-4a5a-893b-08a39c352e5b · outbound

This paper cites Monte carlo study of phonon heat conduction in silicon thin films including contributions of optical phonons.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Monte carlo study of phonon heat conduction in silicon thin films including contributions of optical phonons

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.368108Z

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Observation 228a694a-0f45-4eab-a9a1-454f95954bad · outbound

This paper cites P´ eraud and Nicolas G.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport P´ eraud and Nicolas G

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.373359Z

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Observation a0b64a91-4fa4-4785-ab9d-59a1e58d8ff8 · outbound

This paper cites Adjoint-based deviational Monte Carlo methods for phonon transport calculations.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Adjoint-based deviational Monte Carlo methods for phonon transport calculations

Reference 21

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Observation 3dec3646-1791-4808-a6ff-b4f30684880f · outbound

This paper cites Silva, D.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Silva, D

Reference 22

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Observation 629c3e23-3fd1-4d1f-98a1-e572fa9fa076 · outbound

This paper cites Aref, Gary F.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Aref, Gary F

Reference 23

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Observation 8ae4caa0-4633-4511-86c3-38613d7e9f51 · outbound

This paper cites A unified gas-kinetic scheme for continuum and rarefied flows.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport A unified gas-kinetic scheme for continuum and rarefied flows

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.805270Z

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Observation a51eca3e-a60d-424b-b3ed-4bc688102a41 · outbound

This paper cites Discrete unified gas kinetic scheme for multiscale heat transfer based on the phonon boltzmann transport equation.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Discrete unified gas kinetic scheme for multiscale heat transfer based on the phonon boltzmann transport equation

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.398076Z

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Observation 20e8f1bb-ac78-47a0-81fa-be53d97f8071 · outbound

This paper cites A discrete unified gas kinetic scheme for phonon boltzmann trans- port equation accounting for phonon dispersion and polarization.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport A discrete unified gas kinetic scheme for phonon boltzmann trans- port equation accounting for phonon dispersion and polarization

Reference 26

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Observation dcb4dea6-3dbf-4dcd-b5da-f1e53826886d · outbound

This paper cites Discrete unified gas kinetic scheme for multiscale heat transfer with arbitrary temperature difference.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Discrete unified gas kinetic scheme for multiscale heat transfer with arbitrary temperature difference

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.407510Z

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Observation 5b7c8672-5503-4c16-bb65-8cea0959a941 · outbound

This paper cites Unified implicit kinetic scheme for steady multiscale heat transfer based on the phonon Boltzmann transport equation.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unified implicit kinetic scheme for steady multiscale heat transfer based on the phonon Boltzmann transport equation

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.412273Z

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Observation d7e2fd66-8b8c-4119-bfe3-a8b988520c55 · outbound

This paper cites Acceler- ation strategy of source iteration method for the stationary phonon boltzmann transport equation.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Acceler- ation strategy of source iteration method for the stationary phonon boltzmann transport equation

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.742310Z

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Observation 434225b0-925c-41ed-88b4-c91b13e0fddd · outbound

This paper cites Synthetic iterative scheme for thermal applications in hotspot systems with large temperature variance.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Synthetic iterative scheme for thermal applications in hotspot systems with large temperature variance

Reference 30

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Observation 4515b391-2b31-419e-b8a9-684a652a5c90 · outbound

This paper cites Unified gas-kinetic wave-particle methods.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unified gas-kinetic wave-particle methods

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.425794Z

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Observation 230d2e47-1f90-4bd6-84ec-7db10c5a0642 · outbound

This paper cites Unified gas-kinetic wave-particle methods iv: multi-species gas mixture and plasma transport.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unified gas-kinetic wave-particle methods iv: multi-species gas mixture and plasma transport

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.692187Z

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Observation ff30fef0-faea-4c03-9fa6-f824d961d7ae · outbound

This paper cites Unified gas-kinetic wave-particle method for multiscale flow simulation of partially ionized plasma.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unified gas-kinetic wave-particle method for multiscale flow simulation of partially ionized plasma

Reference 33

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Observation 343620a2-4d3f-4a24-a959-226a462534eb · outbound

This paper cites Unified gas kinetic wave particle method for polydisperse gas-solid particle multiphase flow.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unified gas kinetic wave particle method for polydisperse gas-solid particle multiphase flow

Reference 34

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Observation 91e58550-a3cb-42d3-a937-b1f1d1c6e3e2 · outbound

This paper cites Unified gas-kinetic wave-particle method for frequency-dependent radiation transport equation.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unified gas-kinetic wave-particle method for frequency-dependent radiation transport equation

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.445089Z

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Observation dcfcb7c3-f1b1-4831-91c1-4c2a3fda1578 · outbound

This paper cites Wave-Particle Based Multiscale Modeling and Simulation of Non-equilibrium Turbulent Flows.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Wave-Particle Based Multiscale Modeling and Simulation of Non-equilibrium Turbulent Flows

Reference 36

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Observation 655a43a0-2202-4fc5-82f7-b280388e4c83 · outbound

This paper cites Unified gas-kinetic wave-particle method for multi-scale phonon transport.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Unified gas-kinetic wave-particle method for multi-scale phonon transport

Reference 37

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Observation 90d6b601-ef5b-4828-a00f-68b13007c4bc · outbound

This paper cites Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.636850Z

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Observation 432ab63f-2619-4db2-b6e0-7156a9329b4c · outbound

This paper cites An implicit unified gas-kinetic wave– particle method for radiative transport process.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport An implicit unified gas-kinetic wave– particle method for radiative transport process

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.618728Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 879487de-f0ea-458d-872d-15e13717343c · outbound

This paper cites An implicit unified gas-kinetic particle method with large time steps for gray radiation transport.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport An implicit unified gas-kinetic particle method with large time steps for gray radiation transport

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.602817Z

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Observation d9b59f0e-d7c2-4d1e-892f-720fe3b9e346 · outbound

This paper cites A model for collision processes in gases.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport A model for collision processes in gases

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T04:54:38.476420Z

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Observation 6e5c37aa-32a2-40a5-a002-b07c3bc7f9c8 · outbound

This paper cites Radiative transport and wall temperature slip in an absorbing planar medium.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Radiative transport and wall temperature slip in an absorbing planar medium

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.576889Z

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Observation 1473d14c-7403-4728-a940-5e2eb1c15665 · outbound

This paper cites Majumdar.

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport Majumdar

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:54:38.560197Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 6b5680f0-85ca-4a7d-be6f-4efc03f65bca · inbound

UGKWP and IUGKP methods for Multi-Scale Phonon Transport with Dispersion and Polarization cites this paper.

UGKWP and IUGKP methods for Multi-Scale Phonon Transport with Dispersion and Polarization Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:50:04.912524Z

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