English

Covariant Relativistic Non-Equilibrium Thermodynamics of Multi-Component Systems

General Relativity and Quantum Cosmology 2020-01-08 v1

Abstract

Non-equilibrium and equilibrium thermodynamics of an interacting component in a relativistic multi-component system is discussed covariantly by exploiting an entropy identity. The special case of the corresponding free component is considered. Equilibrium conditions and especially the multi-component Killing relation of the 4-temperature are discussed. Two axioms characterize the mixture: additivity of the energy momentum tensors and additivity of the 4-entropies of the components generating those of the mixture. The resulting quantities of a single component and of the mixture as a whole, energy, energy flux, momentum flux, stress tensor, entropy, entropy flux, supply and production are derived. Finally, a general relativistic 2-component mixture is discussed with respect to their gravitation generating energy-momentum tensors.

Keywords

Cite

@article{arxiv.1909.01880,
  title  = {Covariant Relativistic Non-Equilibrium Thermodynamics of Multi-Component Systems},
  author = {Wolfgang Muschik},
  journal= {arXiv preprint arXiv:1909.01880},
  year   = {2020}
}

Comments

49 pages, Research paper. arXiv admin note: substantial text overlap with arXiv:1806.01648, arXiv:1701.04103