Generalized Mittag-Leffler relaxation: clustering-jump continuous-time random walk approach.
A stochastic generalization of renormalization-group transformation for continuous-time random walk processes is proposed. The renormalization consists in replacing the jump events from a randomly sized cluster by a single renormalized (i.e., overall) jump. The clustering of the jumps, followed by the corresponding transformation of the interjump time intervals, yields a new class of coupled continuous-time random walks which, applied to modeling of relaxation, lead to the general power-law properties usually fitted with the empirical Havriliak-Negami function.
Jurlewicz
Agnieszka
A
Hugo Steinhaus Center for Stochastic Methods, Institute of Mathematics and Computer Science, Wrocław University of Technology, Wyb. Wyspiańskiego 27, Wrocław, Poland. agnieszka.jurlewicz@pwr.wroc.pl
Weron
Karina
K
Teuerle
Marek
M