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Nonlinear diffusion and Nelson-Brown movement
Authors:Andrzej Trzesowski  Romuald Kotowski
Institution:(1) Institute of Fundamental Technological Research of the Polish Academy of Sciences, Swietokrzyska 21, 00-049 Warsaw, Poland
Abstract:The nonlinear diffusion process, which can be described as the Nelson-Brown motion, is considered. The obtained equation becomes the classical linear diffusion equation for small relaxation times, and for long relaxation times it is transferred into the Schrödinger-like equation. The possible nonequilibrium stationary states are discussed.
Keywords:
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