English

On true relaxation statistics in gases

Statistical Mechanics 2015-12-16 v1 Classical Physics

Abstract

By example of a particle interacting with ideal gas, it is shown that statistics of collisions in statistical mechanics at any degree of the gas rarefaction qualitatively differs from that conjugated with Boltzmann's hypothetical molecular chaos and kinetic equation. In reality, probability of the particle collisions in itself is random, which results in power-law asymptotic of the particle velocity relaxation. An estimate of its exponent is suggested basing on simple kinematic reasonings

Keywords

Cite

@article{arxiv.1512.04835,
  title  = {On true relaxation statistics in gases},
  author = {Yu. E. Kuzovlev},
  journal= {arXiv preprint arXiv:1512.04835},
  year   = {2015}
}

Comments

4 pages, no figures, latex2e jetpl, submitted in Russian to JETP Letters (attached in the source tex ile)

R2 v1 2026-06-22T12:10:24.059Z