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arXiv · 2304.07114

Nonlocal extension of relativistic non-equilibrium thermostatics

Alexei S. Ilin·Alexander B. Balakin
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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.

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Alexei S. Ilin, Alexander B. Balakin. 2023-04-14. Nonlocal extension of relativistic non-equilibrium thermostatics. https://doi.org/10.17238/issn2226-8812.2023.1.75--78

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