Mapping GENERIC hydrodynamics into Carter's multifluid theory
Abstract
We show that the GENERIC model for relativistic heat conduction is a multifluid of Carter. This allows one to compute the multifluid constitutive relations directly from the GENERIC formalism. As a quick application, we prove that, in the limit of infinite heat conductivity, GENERIC heat conduction reduces to the relativistic two-fluid model for superfluidity. This surprising ``crossover'' is a consequence of relativistic causality: If diffusion happens too fast, all the diffusing charge cumulates on the surface of the lightcone, and it eventually travels at the speed of light like a wave. Our analysis is non-perturbative, and it is carried out in the fully non-linear regime.
Cite
@article{arxiv.2311.10897,
title = {Mapping GENERIC hydrodynamics into Carter's multifluid theory},
author = {Lorenzo Gavassino},
journal= {arXiv preprint arXiv:2311.10897},
year = {2024}
}
Comments
10 Pages, 1 Figure, published on Symmetry, see https://www.mdpi.com/2073-8994/16/1/78