### 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 language | English (US) |
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Article number | 032112 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 90 |

Issue number | 3 |

DOIs | |

State | Published - Sep 11 2014 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

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**Heat conduction in nanoscale materials : A statistical-mechanics derivation of the local heat flux.** / Li, Xiantao.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Heat conduction in nanoscale materials

T2 - A statistical-mechanics derivation of the local heat flux

AU - Li, Xiantao

PY - 2014/9/11

Y1 - 2014/9/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84907270498&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907270498&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.90.032112

DO - 10.1103/PhysRevE.90.032112

M3 - Article

C2 - 25314400

AN - SCOPUS:84907270498

VL - 90

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 3

M1 - 032112

ER -