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