Nonlinear anomalous diffusion equation and fractal dimension: Exact generalized Gaussian solution

DOI10.1103/PhysRevE.65.041108zbMath1244.35072arXivcond-mat/0202233WikidataQ52040723 ScholiaQ52040723MaRDI QIDQ2903408

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

Publication date: 9 August 2012

Published in: Physical Review E (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0202233

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractals (28A80) Fokker-Planck equations (35Q84)

Related Items

Fractional diffusion equations involving external forces in the higher dimensional case ⋮ Density matrix for a consistent non-extensive thermodynamics ⋮ A simple mathematical model for anomalous diffusion via Fisher's information theory ⋮ Modeling of slow glutamate diffusion and AMPA receptor activation in the cerebellar glomerulus ⋮ Strongly nonlinear stochastic processes in physics and the life sciences ⋮ Approach of complexity in nature: entropic nonuniqueness ⋮ THE COMPLEXITY OF BROWNIAN PROCESSES RUN WITH NONLINEAR CLOCKS ⋮ Mechanics of indentation of plastically graded materials. I: Analysis ⋮ Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions ⋮ DIFFUSION ON FRACTAL OBJECTS MODELING AND ITS PHYSICS-INFORMED NEURAL NETWORK SOLUTION

Cites Work

• The Langevin and Fokker-Planck equations in the framework of a generalized statistical mechanics
• Viscous sheets advancing over dry beds
• Evolution of a stable profile for a class of nonlinear diffusion equations with fixed boundaries
• Non-equilibrium thermodynamics and anomalous diffusion
• Anomalous diffusion in linear shear flows
• The random walk's guide to anomalous diffusion: A fractional dynamics approach