English

Irreversibility in classical kinetic theory: retardation of interaction and distribution functions

Statistical Mechanics 2020-06-23 v1 Soft Condensed Matter Classical Physics

Abstract

A kinetic equation is derived for the phase density of a system of point particles, generating a system of integro-differential equations for distribution functions that have a deterministic meaning. The derivation took into account the retardation of interactions between particles. The obtained equations describe the irreversible behavior of a system of particles without involving any probabilistic hypotheses. The use of the retarded potentials, in this case, corresponds to taking the field into account when the dynamics of the many-particle system is described.

Keywords

Cite

@article{arxiv.2006.11565,
  title  = {Irreversibility in classical kinetic theory: retardation of interaction and distribution functions},
  author = {V. V. Zubkov and A. V. Zubkova},
  journal= {arXiv preprint arXiv:2006.11565},
  year   = {2020}
}

Comments

12 pages