Nonlinear constitutive models for nano-scale heat conduction

Weiqi Chu, Xiantao Li

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)533-549
Number of pages17
JournalMultiscale Modeling and Simulation
Issue number1
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • General Chemistry
  • Modeling and Simulation
  • Ecological Modeling
  • General Physics and Astronomy
  • Computer Science Applications


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