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.
|Work Title||Nonlinear constitutive models for nano-scale heat conduction|
|License||In Copyright (Rights Reserved)|
|Publication Date||January 1, 2021|
|Publisher Identifier (DOI)||
|Deposited||July 15, 2021|
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