On Brownian motion in ideal gas and related principles

Abstract

Brownian motion of particle interacting with atoms of ideal gas is discussed as a key problem of kinetics lying at the border between ``dead'' systems like the Lorentz gas or formal constructs of conceptual Boltzmannian kinetics and actual ``alive'' systems like mere gas possessing scaleless (1/f) fluctuations in their kinetic characteristics (e.g. in diffusuvity and mobility of the ``Brownian particle'').

14 pages, no figures, LaTeX elsart3p

Cited by in corpus (4)

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• A lemma about molecular chaos
• 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
• Hard-sphere Brownian motion in ideal gas: inter-particle correlations, Boltzmann-Grad limit, and destroying the myth of molecular chaos propagation