
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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License | In Copyright (Rights Reserved) |
Work Type | Article |
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Publication Date | January 1, 2021 |
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Deposited | July 15, 2021 |
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