Williams-Watts dielectric relaxation: A fractal time stochastic process

DOI10.1007/BF01012928zbMath0587.60081MaRDI QIDQ1072260

Michael F. Shlesinger

Publication date: 1984

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

zbMATH Keywords

defect diffusionfractal time stochastic processfractional exponential relaxation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Classical equilibrium statistical mechanics (general) (82B05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (13)

Fractional differentiability of nowhere differentiable functions and dimensions ⋮ Limit theorems for continuous-time random walks in the double-array limit scheme ⋮ Fractional Fokker–Planck equation for fractal media ⋮ Continuous medium model for fractal media ⋮ A fractal process of hydrogen diffusion in a-Si:H with exponential energy distribution ⋮ A scaling method and its applications to problems in fractional dimensional space ⋮ A relationship between asymmetric Lévy-stable distributions and the dielectric susceptibility ⋮ Frequency-independent rules for the dielectric susceptibility derived from two forms of self-similar dynamical behavior of dipolar systems ⋮ Asymptotic distributions of continuous-time random walks: A probabilistic approach ⋮ Mechanism of relaxation phenomena based on the negative binomial random walk ⋮ Ion channel kinetics: A model based on fractal scaling rather than multistate Markov processes ⋮ Fox function representation of non-Debye relaxation processes ⋮ Local Fractional Fokker-Planck Equation

Cites Work

• Random Walks on Lattices. II
• Lattice dynamics, random walks, and nonintegral effective dimensionality

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