On the validity of the Onsager relations in relativistic binary mixtures

Abstract

In this work we study the properties of a relativistic mixture of two non-reacting dilute species in thermal local equilibrium. Following the conventional ideas in kinetic theory, we use the concept of chaotic velocity. In particular, we address the nature of the density, or pressure gradient term that arises in the solution of the linearized Boltzmann equation in this context. Such effect, also present for the single component problem, has so far not been analyzed from the point of view of the Onsager resciprocity relations. In order to address this matter, we propose two alternatives for the Onsagerian matrix which comply with the corresponding reciprocity relations and also show that, as in the non-relativistic case, the chemical potential is not an adequate thermodynamic force. The implications of both representations are briefly analyzed.

References in corpus (4)

• Observation of a Centrality-Dependent Dijet Asymmetry in Lead-Lead Collisions at sqrt(S(NN))= 2.76 TeV with the ATLAS Detector at the LHC
• Thermal equilibrium and statistical thermometers in special relativity
• Generalized Relativistic Chapman-Enskog Solution of the Boltzmann Equation
• On the balance equations for a dilute binary mixture in special relativity

Cited by in corpus (2)

• Mixtures of relativistic gases in gravitational fields: combined Chapman-Enskog and Grad method and the Onsager relations
• The energy-momentum tensor in relativistic kinetic theory: the role of the center of mass velocity in the transport equations for multicomponent mixtures