Understanding of flux-limited behaviors of heat transport in nonlinear regime

Yangyu Guo, David Jou, Moran Wang

Research output: Contribution to journalArticleResearchpeer-review

12 Citations (Scopus)


© 2015 Elsevier B.V. All rights reserved. The classical Fourier's law of heat transport breaks down in highly nonequilibrium situations as in nanoscale heat transport, where nonlinear effects become important. The present work is aimed at exploring the flux-limited behaviors based on a categorization of existing nonlinear heat transport models in terms of their theoretical foundations. Different saturation heat fluxes are obtained, whereas the same qualitative variation trend of heat flux versus exerted temperature gradient is got in diverse nonlinear models. The phonon hydrodynamic model is proposed to act as a standard to evaluate other heat flux limiters because of its more rigorous physical foundation. A deeper knowledge is thus achieved about the phenomenological generalized heat transport models. The present work provides deeper understanding and accurate modeling of nonlocal and nonlinear heat transport beyond the diffusive limit.
Original languageEnglish
Pages (from-to)452-457
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Publication statusPublished - 28 Jan 2016


  • Heat flux limiter
  • Nanoscale heat transport
  • Nonlinear heat transport
  • Phonon hydrodynamic model


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