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Survival probability approach to the relaxation of a macroscopic system in the defect-diffusion framework

Paulina Hetman — 2004

Applicationes Mathematicae

The main objective of this paper is to present a new probabilistic model underlying the universal relaxation laws observed in many fields of science where we associate the survival probability of the system's state with the defect-diffusion framework. Our approach is based on the notion of the continuous-time random walk. To derive the properties of the survival probability of a system we explore the limit theorems concerning either the summation or the extremes: maxima and minima. The forms of...

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