Once again on molecular Brownian motion and related fundamental 1/f noise: a logical analysis of exact equations

2011/04/29 by Yu. E. Kuzovlev, Kuzovlev, Yu. E.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1105.0025

16 pages, no figures, LaTeX iopart

arxiv created 2011/04/29 · arxiv updated 2011/05/03

Abstract

The paper contains a simple semi-quantitative analysis of a structure of solution to the exact Bogolyubov functional equation for a particle interacting with ideal gas and driven by an external force, in comparison with solutions to model kinetic equations for the same system. It is shown that the exact equation inevitably predicts existence of significant 1/f-type fluctuations in mobility of the particle, and this result directly extends to particles in arbitrary fluid.

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