Nonlinear constitutive models for nano-scale heat conduction

We present a first-principle based approach that leads from a many-particle description to a nonlinear, stochastic constitutive relation for the modeling of transient heat conduction processes at the nano-mechanical scale. By enforcing statistical consistency, in that the statistics of 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. The connections to established generalized constitutive relations, including Cattaneo-Vernotte-type models, will be demonstrated.

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Work Title Nonlinear constitutive models for nano-scale heat conduction
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Open Access
Creators
  1. Weiqi Chu
  2. Xiantao Li
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Multiscale Modeling and Simulation
Publication Date January 1, 2021
Publisher Identifier (DOI)
  1. https://doi.org/10.1137/19M1257664
Deposited July 15, 2021

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