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A hyperbolic “diffusion equation” taking a finite collision frequency into account

P.C. De Jagher

Physica A: Statistical Mechanics and its Applications, 1980, vol. 101, issue 2, 629-633

Abstract: Using Bourret's approximation the effect of a finite correlation time τc of the velocity on the averaged displacement of a Brownian moving particle is investigated. It turns out that in a rather general special case the usual parabolic diffusion equation is replaced by a hyperbolic one. Both, this equation and its solution, approach the well-known parabolic result in the limit τc → 0.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:101:y:1980:i:2:p:629-633

DOI: 10.1016/0378-4371(80)90200-9

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