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Causal Heat Conduction Contravening the Fading Memory Paradigm

Instituto Universitario de Física Fundamental y Matematicas, Universidad de Salamanca, 37007 Salamanca, Spain
Entropy 2019, 21(10), 950; https://doi.org/10.3390/e21100950
Received: 1 September 2019 / Revised: 24 September 2019 / Accepted: 26 September 2019 / Published: 28 September 2019
(This article belongs to the Special Issue Entropy Generation and Heat Transfer II)
We propose a causal heat conduction model based on a heat kernel violating the fading memory paradigm. The resulting transport equation produces an equation for the temperature. The model is applied to the discussion of two important issues such as the thermohaline convection and the nuclear burning (in)stability. In both cases, the behaviour of the system appears to be strongly dependent on the transport equation assumed, bringing out the effects of our specific kernel on the final description of these problems. A possible relativistic version of the obtained transport equation is presented. View Full-Text
Keywords: causal dissipative theories; fading memory paradigm; relativistic dissipative theories causal dissipative theories; fading memory paradigm; relativistic dissipative theories
MDPI and ACS Style

Herrera, L. Causal Heat Conduction Contravening the Fading Memory Paradigm. Entropy 2019, 21, 950.

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