All-time dynamics of continuous-time random walks on complex networks
Author
Teimouri, Hamid
Kolomeisky, Anatoly B.
Date
2013Citation
Published Version
Abstract
The concept of continuous-time random walks (CTRW) is a generalization of ordinary random walk
models, and it is a powerful tool for investigating a broad spectrum of phenomena in natural, engineering,
social, and economic sciences. Recently, several theoretical approaches have been developed
that allowed to analyze explicitly dynamics of CTRW at all times, which is critically important for
understanding mechanisms of underlying phenomena. However, theoretical analysis has been done
mostly for systems with a simple geometry. Here we extend the original method based on generalized
master equations to analyze all-time dynamics of CTRWmodels on complex networks. Specific
calculations are performed for models on lattices with branches and for models on coupled parallelchain
lattices. Exact expressions for velocities and dispersions are obtained. Generalized fluctuations
theorems for CTRW models on complex networks are discussed.
Type
Journal article
Citable link to this page
http://hdl.handle.net/1911/71019Metadata
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