Nonlinear Constitutive Models for Nano-scale Heat Conduction

Weiqi Chu; Xiantao Li

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arXiv · 1803.11231

Nonlinear Constitutive Models for Nano-scale Heat Conduction

Weiqi Chu·Xiantao Li

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Abstract

We present a rigorous approach that leads, from a many-particle description, to a nonlinear, stochastic constitutive relation for the modeling of transient heat conduction processes at nanoscale. By enforcing statistical consistency, in that the statistics of the local energy is consistent with that from an all-atom description, we identify the driving force as well as the model parameters in these generalized constitutive models.

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Weiqi Chu, Xiantao Li. 2018-03-29. Nonlinear Constitutive Models for Nano-scale Heat Conduction. https://arxiv.org/abs/1803.11231

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