Generalized Mittag-Leffler relaxation: Clustering-jump continuous-time random walk approach

作     者：Agnieszka Jurlewicz Karina Weron Marek Teuerle 

作者机构：Hugo Steinhaus Center for Stochastic Methods Institute of Mathematics and Computer Science Wrocław University of Technology Wyb. Wyspiańskiego 27 50-370 Wrocław Poland Institute of Physics Wrocław University of Technology Wyb. Wyspiańskiego 27 50-370 Wrocław Poland 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2008年第78卷第1期

页      面：011103-011103页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：RENORMALIZATION-GROUP TRANSFORMATIONS COLE-COLE RELAXATION ANOMALOUS DIFFUSION DISTRIBUTIONS DYNAMICS EQUATION ANALOGS 

摘      要：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.