Mesoscopic description of random walks on combs

Vicenç Méndez, Alexander Iomin, Daniel Campos, Werner Horsthemke

Research output: Contribution to journalArticleResearchpeer-review

14 Citations (Scopus)


© 2015 American Physical Society. Combs are a simple caricature of various types of natural branched structures, which belong to the category of loopless graphs and consist of a backbone and branches. We study continuous time random walks on combs and present a generic method to obtain their transport properties. The random walk along the branches may be biased, and we account for the effect of the branches by renormalizing the waiting time probability distribution function for the motion along the backbone. We analyze the overall diffusion properties along the backbone and find normal diffusion, anomalous diffusion, and stochastic localization (diffusion failure), respectively, depending on the characteristics of the continuous time random walk along the branches, and compare our analytical results with stochastic simulations.
Original languageEnglish
Article number062112
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Publication statusPublished - 7 Dec 2015


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