On the Cole-Cole relaxation function and related Mittag-Leffler distribution

Karina Weron and Marcin Kotulski

Physica A: Statistical Mechanics and its Applications, 1996, vol. 232, issue 1, 180-188

Abstract: In the framework of the one-dimensional fractal time random walk (FTRW) relaxation model, we rigorously show that the frequency domain response takes, in both nonbiased and biased walks, the only possible Cole-Cole form. The underlying reason for this is the specific form of the relaxation function (the survival probability of a relaxing system) determined in this model by the Mittag-Leffler distribution. We provide also analytical formulas for the propagators of the nonbiased and biased FTRWs.

Keywords: Relaxation; Random walks; Lévy-stable distributions (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:232:y:1996:i:1:p:180-188

DOI: 10.1016/0378-4371(96)00209-9

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