A truth about Brownian motion in gases and in general

Abstract

Real thermal motion of gas molecules, free electrons, etc., at long time intervals (much greater than mean free-flight time) possesses, contrary to its popular mathematical models, essentially non-Gaussian statistics. A simple proof of this statement is suggested basing on only the determinism and reversibility of microscopic dynamics and besides incidentally derived virial expansion of a path probability distribution of molecular Brownian particle.

arXiv comment5 pages, no figures, RevTeX4, with supplement (in the source tex-file) of Russian text of the paper submitted to JETP Letters

Cited by in corpus (4)

• Molecular random walks and invariance group of the Bogolyubov equation
• Thermodynamic restrictions on statistics of molecular random walks
• Hamiltonian Brownian motion in Gaussian thermally fluctuating potential. I. Exact Langevin equations, invalidity of Marcovian approximation, common bottleneck of dynamic noise theories, and diffusivity/mobility 1/f noise
• Exercises in simplest dynamical random walk, or Quantum path integral approach to true diffusion law and 1/f noise of classical particle interacting with ideal gas