Wait-and-switch stochastic model of the non-Debye relaxation. Derivation of the Burr survival probability

Bożena Szabat, Paulina Hetman and Karina Weron

Physica A: Statistical Mechanics and its Applications, 2006, vol. 370, issue 2, 346-354

Abstract: Stochastic mechanism of relaxation, in which a dipole waits until a favourable condition for reorientation exists, is discussed. Assuming that an imposed direction of a dipole moment may be changed when a migrating defect reaches the dipole, we present a mathematically rigorous scheme relating the local random characteristics of a macroscopic system to its effective relaxation behaviour. We derive a relaxation function (the Burr survival probability) that is characterized by the stretched exponential or the power-law behaviour.

Keywords: Anomalous diffusion; Survival probability; Power-law response (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:370:y:2006:i:2:p:346-354

DOI: 10.1016/j.physa.2006.02.020

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