Heat conduction in nanoscale materials: A statistical-mechanics derivation of the local heat flux

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Abstract

We derive a coarse-grained model for heat conduction in nanoscale mechanical systems. Starting with an all-atom description, this approach yields a reduced model, in the form of conservation laws of momentum and energy. The model closure is accomplished by introducing a quasilocal thermodynamic equilibrium, followed by a linear response approximation. Of particular interest is the constitutive relation for the heat flux, which is expressed nonlocally in terms of the spatial and temporal variation of the temperature. Nanowires made of copper and silicon are presented as examples.

Original languageEnglish (US)
Article number032112
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number3
DOIs
StatePublished - Sep 11 2014

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Heat Conduction
Heat Flux
statistical mechanics
Statistical Mechanics
conductive heat transfer
heat flux
derivation
Thermodynamic Equilibrium
Reduced Model
Linear Response
Constitutive Relations
Nanowires
Copper
Mechanical Systems
Conservation Laws
Silicon
Closure
Momentum
thermodynamic equilibrium
conservation laws

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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title = "Heat conduction in nanoscale materials: A statistical-mechanics derivation of the local heat flux",
abstract = "We derive a coarse-grained model for heat conduction in nanoscale mechanical systems. Starting with an all-atom description, this approach yields a reduced model, in the form of conservation laws of momentum and energy. The model closure is accomplished by introducing a quasilocal thermodynamic equilibrium, followed by a linear response approximation. Of particular interest is the constitutive relation for the heat flux, which is expressed nonlocally in terms of the spatial and temporal variation of the temperature. Nanowires made of copper and silicon are presented as examples.",
author = "Xiantao Li",
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