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2023, no. 1

NONLOCAL EXTENSION OF RELATIVISTIC NON-EQUILIBRIUM THERMOSTATICS

Ilin A.S., Balakin A.B.

Based on the formalism of nonlocal extension of the Israel-Stewart causal thermodynamics [1] on the one hand, and on the formalism of the extended thermostatics [2] 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 equation known in classical rheology.

Keywords: Non-equilibrium thermostatics, nonlocal phenomena.

UDC: 524.8, 530.16, 536.7

PACS: 04.20.-q, 04.40.-b, 04.40.Nr, 04.50.Kd

DOI: 10.17238/issn2226-8812.2023.1.7578

Please cite this article in English as:
Ilin A.S., Balakin A.B. Nonlocal extension of relativistic non-equilibrium thermostatics. Space, Time and Fundamental Interactions, 2023, no. 1, pp. 7578.