Chaotic distributions for relativistic particles
Journal article, 2016

We study a modified Kac model where the classical kinetic energy is replaced by an arbitrary energy function φ(v), v ∈ ℝ. The aim of this paper is to show that the uniform density with respect to the microcanonical measure is Ce-z0φ(v)-chaotic, C, z0 ∈ ℝ+. The kinetic energy for relativistic particles is a special case. A generalization to the case v ∈ ℝd which involves conservation momentum is also formally discussed.

Relativistic Kac model

Propagation of chaos

Master equation

Chaotic distributions

Microcanonical measure

Author

Dawan Mustafa

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Bernt Wennberg

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Kinetic and Related Models

1937-5093 (ISSN) 1937-5077 (eISSN)

Vol. 9 4 749-766

Subject Categories

Mathematics

Roots

Basic sciences

DOI

10.3934/krm.2016014

More information

Created

10/8/2017