Microscopic model of dielectric \(\alpha\)-relaxation in disordered media

DOI10.2478/s13540-013-0011-1zbMath1314.82040OpenAlexW2161579374MaRDI QIDQ2347300

Bektur A. Murzaliev, Ivan I. Popov, A. A. Khamzin, Raoul R. Nigmatullin

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-013-0011-1

zbMATH Keywords

fractalsdielectric permittivityfractal kineticsexcess wingCole-Davidson expression

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Fractals (28A80) Electromagnetic theory (general) (78A25)

Related Items (5)

Models of dielectric relaxation based on completely monotone functions ⋮ Langevin approach to the theory of dielectric relaxation of ice Ih ⋮ On the Laplace integral representation of multivariate Mittag‐Leffler functions in anomalous relaxation ⋮ New relationships connecting a class of fractal objects and fractional integrals in space ⋮ Justification of the empirical laws of the anomalous dielectric relaxation in the framework of the memory function formalism

Cites Work

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• The derivation of the generalized functional equations describing self-similar processes
• FOUNDATIONS OF FRACTIONAL DYNAMICS
• Memory Effects in Irreversible Thermodynamics

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