Anomalous diffusion approach to non-exponential relaxation in complex physical systems

DOI10.1016/j.cnsns.2015.01.001zbMath1463.82002OpenAlexW2066308297MaRDI QIDQ2297432

Aleksander Weron, Aleksander A. Stanislavsky, Karina Weron

Publication date: 20 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2015.01.001

zbMATH Keywords

subordinationanomalous diffusionLévy walkinfinitely divisible processnon-exponential relaxation

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

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Cites Work

• Subordination scenario of the Cole-Davidson relaxation
• The stochastic nature of complexity evolution in the fractional systems
• Justification of the empirical laws of the anomalous dielectric relaxation in the framework of the memory function formalism
• Generalized mittag-leffler function and generalized fractional calculus operators
• Special Functions for Applied Scientists
• Bernstein functions. Theory and applications
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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