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N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients.
Phys Rev E Stat Nonlin Soft Matter Phys
May 2002
Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo 5790, 87020-900 Maringá, PR, Brazil.
An N-dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present. We exhibit the exact solution based on the generalized Gaussian function related to the Tsallis statistics. Furthermore, we show that a rich class of diffusive processes, including normal and anomalous ones, can be obtained by changing the time dependence of the coefficients.
View Article and Find Full Text PDFDrift-controlled anomalous diffusion: a solvable Gaussian model.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
May 2000
Istituto Nazionale per la Fisica della Materia, Unita di Palermo, Italy.
We introduce a Langevin equation characterized by a time-dependent drift. By assuming a temporal power-law dependence of the drift, we show that a great variety of behavior is observed in the dynamics of the variance of the process. In particular, diffusive, subdiffusive, superdiffusive, and stretched exponentially diffusive processes are described by this model for specific values of the two control parameters.
View Article and Find Full Text PDFDiffusion- and drift-controlled reactions in two and three dimensions.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
December 1996
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