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

• Autorzy: Paulina Hetman
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60G50: Sums of independent random variables; random walks
• 60G70: Extreme value theory; extremal processes
• 82C44: Dynamics of disordered systems (random Ising systems, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 4
• Strony: 423-432

Daty

wydano

2004

Twórcy

autor

Paulina Hetman

• Institute of Mathematics and Computer Science, Opole University, Oleska 48, 45-052 Opole, Poland

Identyfikatory

DOI

10.4064/am31-4-4