Aging phenomena, probability distribution functions and numerical implementations for Lévy walks. (November 2015)

• Record Type: Journal Article
• Authors: Deng, K.; Deng, J.; Sun, T.; Guan, Y.; Yang, F.; Sun, H.
• Is Part Of: Materials research innovations. Volume 19(2015)Supplement 8
• Page Start: S8-32
• Page End: S8-37
• Publication Date: 2015-11
• Subjects: Lévy walks -- Probability distribution function -- Aging phenomena -- Random walk; Materials -- Research -- Periodicals; Matériaux -- Recherche -- Périodiques; 620.1105
• DOI: 10.1179/1432891715Z.0000000001850
• Languages: English
• ISSNs: 1432-8917

Abstract

Abstract : Lévy walks are non-Markovian stochastic processes, whose explosion of space with time is faster than regular Brownian motion but slower than ballistic motion. More concretely, they correspond to a random walk process with jump distribution, where is a power law waiting-time distribution. In this paper, we first investigate the probability distribution functions of Lévy walks, then discuss their aging phenomena, forward waiting-time probability distribution and numerical implementations.