Causal heat conduction contravening the fading memory paradigm
General Relativity and Quantum Cosmology
2019-10-02 v1 Classical Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1910.00284,
title = {Causal heat conduction contravening the fading memory paradigm},
author = {L and : and Herrera},
journal= {arXiv preprint arXiv:1910.00284},
year = {2019}
}
Comments
22 pages Latex. Published in the special issue of Entropy: Entropy generation and heat transfer II