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

Paulina Hetman. "Survival probability approach to the relaxation of a macroscopic system in the defect-diffusion framework." Applicationes Mathematicae 31.4 (2004): 423-432. <http://eudml.org/doc/279680>.

@article{PaulinaHetman2004,
abstract = {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.},
author = {Paulina Hetman},
journal = {Applicationes Mathematicae},
keywords = {random sum; stable distribution; heavy-tailed distribution; relaxation phenomena in physics},
language = {eng},
number = {4},
pages = {423-432},
title = {Survival probability approach to the relaxation of a macroscopic system in the defect-diffusion framework},
url = {http://eudml.org/doc/279680},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Paulina Hetman
TI - Survival probability approach to the relaxation of a macroscopic system in the defect-diffusion framework
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 4
SP - 423
EP - 432
AB - 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.
LA - eng
KW - random sum; stable distribution; heavy-tailed distribution; relaxation phenomena in physics
UR - http://eudml.org/doc/279680
ER -