Causality in non-fourier heat conduction

被引：6
|
作者：
Camacho de la Rosa, A. [1 ]
Esquivel-Sirvent, R. [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Fis, Apartado Postal 20-364, Cdmx 01000, Mexico
来源：
JOURNAL OF PHYSICS COMMUNICATIONS | 2022年 / 6卷 / 10期
关键词：
causality; non-fourier; heat transport; DUAL-PHASE-LAG; KRAMERS-KRONIG; MODEL; STABILITY; CATTANEO; VERNOTTE;
D O I：
10.1088/2399-6528/ac9774
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a study of the causal response of non-Fourier heat conduction by introducing a dispersive generalized thermal susceptibility and show it obeys Kramers-Kronig relations. In particular, we discuss the Cattaneo-Vernotte and the dual-phase lag models. The constitutive equations are written as a linear response theory and determine the conditions for which the dual-phase lag model does not satisfy Kramers-Kronig relations. An alternative model is presented to describe non-Fourier transport using the similarity with the causal response of viscoelastic materials to avoid this unphysical issue.
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页数：9
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