Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions

DOI10.1016/S0378-4371(02)01495-4zbMath1008.82027arXivcond-mat/0208332OpenAlexW1999134695MaRDI QIDQ1855524

L. C. Malacarne, I. T. Pedron, Renio S. Mendes, Ervin Kaminski Lenzi

Publication date: 5 February 2003

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0208332

zbMATH Keywords

nonextensive statistical mechanicsTsallis entropydrift force

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Solutions to PDEs in closed form (35C05)

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Cites Work

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• The Fokker-Planck equation. Methods of solution and applications
• Waiting and propagating fronts in nonlinear diffusion
• Nonlinear anomalous diffusion equation and fractal dimension: Exact generalized Gaussian solution
• FRACTAL ASPECTS IN POLYMER SCIENCE
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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