Relativistic Kinetic Theory of a Simple Gas

1963/09/01 by Werner Israel, W. Israel · 276 citations
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Classical mechanics #Collision #Eigenfunction #Gas Dynamics and Kinetic Theory #Geometry #High-Energy Particle Collisions Research #Kinetic energy #Kinetic theory #Mathematical analysis #Mathematics #Operator (biology) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar (mathematics) #Scattering #Scattering theory #Separable space #Simple (philosophy) #Theoretical physics #Thermal conductivity

paper · pdf · doi:10.1063/1.1704047

published in Journal of Mathematical Physics 4(9), 1163-1181 (American Institute of Physics)

openalex publication_date 1963/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/04

Abstract

A consistent relativistic theory of transport processes in a simple gas is developed. The approach is the four-dimensional geometric one due to Synge. Scalar and vector eigenfunctions of the linearized collision operator are derived when the scattering cross section is a simple separable function of scattering angle and relative velocity (Maxwellian particles). The bulk viscosity and thermal conductivity are computed explicitly for this case.

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