A Fluctuation-Dissipation Process without Time Scale

Details A Fluctuation-Dissipation Process without Time Scale A Fluctuation-Dissipation Process without Time Scale

1999-08-30

arxiv.org/abs/cond-mat/9908445v1

Physics

Condensed Matter

Statistical Mechanics

REVTeX 3.1, 7 pages, 2 EPS figures, uses epsfig.sty. Submitted to Phys. Rev. E

Scientific paper

We study the influence of a dissipation process on diffusion dynamics triggered by fluctuations with long-range correlations. We make the assumption that the perturbation process involved is of the same kind as those recently studied numerically and theoretically, with a good agreement between theory and numerical treatment. As a result of this assumption the equilibrium distribution departs from the ordinary canonical distribution. The distribution tails are truncated, the distribution border is signalled by sharp peaks and, in the weak dissipation limit, the central distribution body becomes identical to a truncated Levy distribution.

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