Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture

Details Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture

2009-05-29

arxiv.org/abs/0905.4796v1

Physics

Condensed Matter

Statistical Mechanics

20 pages, 3 figures

Scientific paper

This is the second of a series of papers on the special relativistic classical statistical mechanics. Employing the general theory developed in the first paper we rigorously derive the relativistic Vlasov, Landau and Boltzmann equation. The latter two advocate the J{\"u}ttner distribution as the equilibrium distribution. We thus, at the full microscopic level, provide a support for the recent numerical finding [D. Cubero {\it et. al.}, Phys. Rev. Lett. \textbf{99}, 170601 (2007)] of the special relativistic generalization of the Maxwell-Boltzmann distribution. Furthermore, the present theory allows us to rigorously calculate various correlation functions at the relativistic many-body equilibrium. Therefore, the relativistic many-body equilibrium conjecture of Hakim is justified.

Affiliated with

Also associated with

No associations

Rating

Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526933