4.5 Article

Nonlocal and nonlinear effects in hyperbolic heat transfer in a two-temperature model

Journal

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-020-01435-0

Keywords

Electron and phonon temperature; Thermal wave propagation; Acceleration wave; Nonlocal and nonlinear effects

Funding

  1. Universita degli Studi di Salerno within the CRUI-CARE Agreement

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The paper introduces a new two-temperature model to describe different states that electrons and phonons can undergo in nanoscale heat transfer, with consideration of the second law of thermodynamics for physical admissibility. The model is then used to study heat wave propagation and highlight the special role played by nonlocal and nonlinear effects.
The correct analysis of heat transport at nanoscale is one of the main reasons of new developments in physics and nonequilibrium thermodynamic theories beyond the classical Fourier law. In this paper, we provide a two-temperature model which allows to describe the different regimes which electrons and phonons can undergo in the heat transfer phenomenon. The physical admissibility of that model is showed in view of second law of thermodynamics. The above model is applied to study the propagation of heat waves in order to point out the special role played by nonlocal and nonlinear effects.

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