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.

Chaotic distributions

Propagation of chaos

Master equation

Microcanonical measure

Relativistic Kac model

Author

Dawan Mustafa

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

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

Latest update

12/2/2022