6533b86ffe1ef96bd12cd3ca

RESEARCH PRODUCT

Relativistic kinematic approach to the classical ideal gas

Juan Antonio SáezJoan Josep Ferrando

subject

Thermal equilibriumPhysicsPhysics and Astronomy (miscellaneous)010308 nuclear & particles physicsMathematical analysisFOS: Physical sciencesKinematicsGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyIdeal gas0103 physical sciencesVector field010306 general physicsUnit (ring theory)

description

he necessary and sufficient conditions for a unit time-like vector field to be the unit velocity of a classical ideal gas are obtained. In a recent paper [Coll, Ferrando and S\'aez, Phys. Rev D {\bf 99} (2019)] we have offered a purely hydrodynamic description of a classical ideal gas. Here we take one more step in reducing the number of variables necessary to characterize these media by showing that a plainly kinematic description can be obtained. We apply the results to obtain test solutions to the hydrodynamic equation that model the evolution in local thermal equilibrium of a classical ideal gas. \end{abstract}

https://dx.doi.org/10.48550/arxiv.1910.06791