STATISTICAL APPROACH TO NON-FICKIAN DIFFUSION

DOI10.1142/S0217979206035667zbMath1121.82346MaRDI QIDQ5898741

T. G. Souza Cruz, Áurea R. Vasconcellos, Roberto Luzzi, M. U. Kleinke, J. Galvão Ramos, Aaron Gorenstein

Publication date: 20 March 2007

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

Lévy processesanomalous diffusionvoltammetryfractal surfacesRenyi statisticscomplex structured systemsmicrobatteriesnonconventional statisticsnonequilibrium ensemble formalism

Mathematics Subject Classification ID

Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (2)

Generalized kinetic equations for dense gases and liquids in the Zubarev nonequilibrium statistical operator method and Renyi statistics ⋮ Generalized diffusion equation with fractional derivatives within Renyi statistics

Cites Work

• Chaotic advection in a two-dimensional flow: Lévy flights and anomalous diffusion
• The world according to Rényi: Thermodynamics of multifractal systems
• Chaos, fractional kinetics, and anomalous transport
• Superstatistics in hydrodynamic turbulence
• Distributions and channel capacities in generalized statistical mechanics
• Generalized entropies: Rényi and correlation integral approach
• Non-equilibrium thermodynamics and anomalous diffusion
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999
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