High-order fluxes in heat transfer with phonons and electrons: application towavepropagation

Author:

Carlomagno I.1,Di Domenico M.1ORCID,Sellitto A.1ORCID

Affiliation:

1. Department of Industrial Engineering, University of Salerno, 84084 Fisciano, Italy

Abstract

We propose a theoretical model to study heat transfer at the nanoscale by means of high-order thermodynamic fluxes. The model is fully compatible with the model of heat transfer of extended irreversible thermodynamics, represents a generalization of the Guyer–Krumhansl proposal (Guyer & Krumhansl 1966 Phys. Rev. 148 ) and is able to deal with relaxational and non-local effects. It also accounts for the role played by the different heat carriers (electrons and/or lattice vibrations) and captures different heat-carrier temperatures. The proposed model is hyperbolic and is used to investigate the propagation of thermal waves.

Funder

Università degli Studi di Salerno

Gruppo Nazionale per la Fisica Matematica

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference52 articles.

1. Meixner J, Reik HG. 1959 Thermodynamik der irreversiblen Prozesse, pp. 413–523. Berlin, Germany: Springer.

2. De Groot SR, Mazur P. 1962 Nonequilibrium thermodynamics. Amsterdam, The Netherlands: North-Holland Publishing Company.

3. Beyond Equilibrium Thermodynamics

4. Extended Irreversible Thermodynamics

5. Ballistic-diffusive heat conduction at nanoscale: GENERIC approach

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