Geodesic
Survival probability approach to the relaxation of a macroscopic system in the defect-diffusion framework
Paulina Hetman1
1 Institute of Mathematics and Computer Science Opole University Oleska 48 45-052 Opole, Poland
Applicationes Mathematicae, Tome 31 (2004) no. 4, pp. 423-432.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 the survival probability that result from the scheme under consideration are in agreement with the characteristics of empirical data. Moreover, the proposed approach allows us to indicate their origins.
DOI : 10.4064/am31-4-4
Keywords: main objective paper present probabilistic model underlying universal relaxation laws observed many fields science where associate survival probability systems state defect diffusion framework approach based notion continuous time random walk derive properties survival probability system explore limit theorems concerning either summation extremes maxima minima forms survival probability result scheme under consideration agreement characteristics empirical moreover proposed approach allows indicate their origins

Paulina Hetman 1

1 Institute of Mathematics and Computer Science Opole University Oleska 48 45-052 Opole, Poland 
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Paulina Hetman. Survival probability approach to the relaxation of a macroscopic system in the defect-diffusion framework. Applicationes Mathematicae, Tome 31 (2004) no. 4, pp. 423-432. doi : 10.4064/am31-4-4. http://geodesic.mathdoc.fr/articles/10.4064/am31-4-4/

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