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

✍ Scribed by Bożena Szabat; Paulina Hetman; Karina Weron


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
198 KB
Volume
370
Category
Article
ISSN
0378-4371

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✦ Synopsis


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.