Local versus nonlocal constitutive theories of nonequilibrium thermodynamics: the Guyer–Krumhansl equation as an example-Reference-Cited by-同舟云学术

Local versus nonlocal constitutive theories of nonequilibrium thermodynamics: the Guyer–Krumhansl equation as an example

Published:2021-10-22 Issue:6 Volume:72 Page:
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik
language:en
Short-container-title:Z. Angew. Math. Phys.

Author:

Cimmelli V. A.^ORCID

Abstract

AbstractOn the example of the celebrated Grad’s 13-moment system of kinetic theory of rarefied gases and phonon hydrodynamics, it is proved that the constitutive equations of nonequilibrium thermodynamics must be nonlocal. A thermodynamic model of Guyer–Krumhansl heat-transport equation is derived within the frame of weakly nonlocal Rational Thermodynamics. The constitutive equation for the entropy flux is analyzed as well. Some nonlinear generalizations of Maxwell–Cattaneo equation are studied in view of the experiments on thermal wave propagation.

Funder

Istituto Nazionale di Alta Matematica “Francesco Severi”

Università degli Studi della Basilicata

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00033-021-01625-4.pdf

Reference41 articles.

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5. Cattaneo, C.: Sulla conduzione del calore. Atti Sem. Mat. Fis. Univ. Modena 3, 83–101 (1948)

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