Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential

DOI10.1063/1.531509zbMath0872.60097OpenAlexW2070555564MaRDI QIDQ5284275

Theo F. Nonnenmacher, Michael C. Mackey, Marcel Ovidiu Vlad, Ralf Metzler

Publication date: 1 October 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531509

zbMATH Keywords

relaxation equationasymptotic behavior of multichannel parallel relaxation processesexponential relaxation functionintermittent fluctuationsstochastic renormalization group approach

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items

Analogies between colored Lévy noise and random channel approach to disordered kinetics, Anomalous diffusion modeling by fractal and fractional derivatives, Time-space fabric underlying anomalous diffusion, The random walk's guide to anomalous diffusion: A fractional dynamics approach, Anomalous relaxation and diffusion processes in complex systems^a, An interpolation between the wave and diffusion equations through the fractional evolution equations Dirac like

Cites Work

• On Lévy (or stable) distributions and the Williams-Watts model of dielectric relaxation
• Passage over a random energy barrier with dynamical disorder
• A deterministic approach to survival statistics
• Stochastic renormalization group approach to random point processes. A fractal generalization of Poisson statistics