Nonlocal extension of relativistic non-equilibrium thermostatics
Abstract
Based on the formalism of nonlocal extension of the Israel-Stewart causal thermodynamics on the one hand, and on the formalism of the extended thermostatics on the other hand, we propose the new model of nonlocal relativistic non-equilibrium thermostatics for description of the static spherically symmetric stellar systems. This nonlocal formalism operates with the pair of orthogonal four-vectors: one of them is the standard unit timelike medium velocity four-vector, the second one is the unit spacelike director. We derived the extended equation describing the profile of the non-equilibrium pressure, which can be indicated as the static analog of the Burgers constitutive equation known in classical rheology.
Keywords
Cite
@article{arxiv.2304.07114,
title = {Nonlocal extension of relativistic non-equilibrium thermostatics},
author = {Alexei S. Ilin and Alexander B. Balakin},
journal= {arXiv preprint arXiv:2304.07114},
year = {2023}
}
Comments
3 pages, 0 Figures, Short communication based on the talk presented on the Fifth International Winter School-Seminar on Gravitation, Astrophysics and Cosmology Petrov Readings -2022, Kazan, Russia