Anomalous diffusion and anisotropic nonlinear Fokker–Planck equation

P.C. da Silva, L.R. da Silva, E.K. Lenzi, R.S. Mendes and L.C. Malacarne

Physica A: Statistical Mechanics and its Applications, 2004, vol. 342, issue 1, 16-21

Abstract: We analyse a N-dimensional anisotropic nonlinear Fokker–Planck equation by considering stationary and time-dependent solutions. The stationary solutions are obtained for very general situations, including those when the diffusion coefficients are spatial dependents. Time-dependent solutions are found in the absence of external force and with constant diffusion coefficients. When restricted to the bi-dimensional case, our investigation about time-dependent solutions focuses on situations where the diffusion coefficient are Dx∝|x|−θx and Dy∝|y|−θy with θx,θy∈R. In general, we verify an anomalous behavior induced in a given direction due to the other directions.

Keywords: Anomalous diffusion; Nonlinear diffusion equation; Anisotropy (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:342:y:2004:i:1:p:16-21

DOI: 10.1016/j.physa.2004.04.054

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