TY - JOUR
T1 - Understanding of flux-limited behaviors of heat transport in nonlinear regime
AU - Guo, Yangyu
AU - Jou, David
AU - Wang, Moran
PY - 2016/1/28
Y1 - 2016/1/28
N2 - © 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.
AB - © 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.
KW - Heat flux limiter
KW - Nanoscale heat transport
KW - Nonlinear heat transport
KW - Phonon hydrodynamic model
UR - https://www.scopus.com/pages/publications/84958232634
U2 - 10.1016/j.physleta.2015.10.059
DO - 10.1016/j.physleta.2015.10.059
M3 - Article
SN - 0375-9601
VL - 380
SP - 452
EP - 457
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
ER -