1D inelastic relativistic-collision

TL;DR

This paper investigates how relativistic effects influence the time evolution of temperature and flow velocity in one-dimensional inelastic collisions, revealing behaviors absent in nonrelativistic cases.

Contribution

It introduces a relativistic kinetic theory framework to analyze inelastic collisions, highlighting unique relativistic effects on thermodynamic quantities.

Findings

Relativistic effects cause distinctive temperature evolution patterns.

Flow velocity exhibits unique relativistic time dynamics.

Nonrelativistic limits do not capture these behaviors.

Abstract

In this paper, we discuss one dimensional inelastic relativistic-collisions in the framework of the relativistic kinetic theory. In particular, we focus on the relativistic effects on time evolutions of the temperature and flow velocity under the spatially homogeneous state. As a result of the relativistic effects, we obtain the characteristic time evolutions of the temperature and flow velocity, which are never obtained under the nonrelativistic limit.