Velocity-dependent friction and diffusion for grains in neutral gases, dusty plasmas and active systems

S.A. Trigger, G.J.F. van Heijst and P.P.J.M. Schram

Physica A: Statistical Mechanics and its Applications, 2005, vol. 347, issue C, 77-98

Abstract: A self-consistent and universal description of friction and diffusion for Brownian particles (grains) in different systems, such as gases with Boltzmann collisions, dusty plasmas with ion absorption by grains, and for active particles (e.g., cells in biological systems), is suggested on the basis of the appropriate Fokker–Planck equation. Restrictions for application of the Fokker–Planck equation to the problem of velocity-dependent friction and diffusion coefficients are found. A general description for these coefficients is formulated on the basis of a master equation. Relation between the diffusion coefficients in the coordinate and velocity spaces is found for active (capable to transfer momentum to the ambient medium) and passive particles in the framework of the Fokker–Planck equation.

Keywords: Brownian motion; Friction; Diffusion; Fokker–Planck equation; Master equation; Gases; Dusty plasmas; Active systems (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:347:y:2005:i:c:p:77-98

DOI: 10.1016/j.physa.2004.08.080

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