On the equivalence of the parallel channel and the correlated cluster relaxation models

DOI10.1007/BF02732433zbMath0945.82560MaRDI QIDQ1285070

Marcin Kotulski, Karina Weron

Publication date: 11 October 2000

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

zbMATH Keywords

Burr distributionMittag-Leffler distributiongeneral relaxation equationLevy-stable distributionuniversal relaxation law

Mathematics Subject Classification ID

Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (3)

The stochastic nature of complexity evolution in the fractional systems ⋮ Relaxation dynamics of the fastest channel in multichannel parallel relaxation mechanism ⋮ Application of the internal time operators for the Renyi map

Cites Work

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• On Mittag-Leffler functions and related distributions
• Lévy (stable) probability densities and mechanical relaxation in solid polymers
• On Lévy (or stable) distributions and the Williams-Watts model of dielectric relaxation
• On moments and tail behavior of \(\nu\)-stable random variables
• A relationship between asymmetric Lévy-stable distributions and the dielectric susceptibility
• Relaxation functions in dipolar materials
• Frequency-independent rules for the dielectric susceptibility derived from two forms of self-similar dynamical behavior of dipolar systems
• Asymptotic behaviour of stochastic systems with conditionally exponential decay property

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