Properties and Moving Time Average for Lévy Walks with Power-Law Waiting-Time Distributions

Kai Ying Deng; Jing Wei Deng

doi:10.4028/www.scientific.net/AMM.580-583.3079

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 580-583Properties and Moving Time Average for Lévy Walks...

Properties and Moving Time Average for Lévy Walks with Power-Law Waiting-Time Distributions

Abstract:

Lévy walks are a natural model for the description of sub-ballistic, superdiffusive motion. The waiting times and jump lengths of Lévy walks are coupled in the form . The-coupling introduces a time cost for each jump in the form of the generalized velocity , such that long jumps get penalized by a higher time cost. In this paper, we firstly investigate the properties of Lévy walks with power-law waiting-time distributions; then discuss its moving time average.

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Periodical:

Applied Mechanics and Materials (Volumes 580-583)

Pages:

3079-3082

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.580-583.3079

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Online since:

July 2014

Authors:

Kai Ying Deng, Jing Wei Deng*

Keywords:

Aging Phenomena, Lévy Walks, Moving Time Average, Power-Law Waiting-Time Distribution

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