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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Reaction-diffusion on random spatial networks with scale-free jumping rates via effective medium theory

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Author(s):
Iannelli, Flavio [1] ; Sokolov, Igor M. [1] ; Thiel, Felix [2]
Total Authors: 3
Affiliation:
[1] Humboldt Univ, Inst Phys, Newtonstr 15, D-12481 Berlin - Germany
[2] Bar Ilan Univ, Dept Phys, IL-5290002 Ramat Gan - Israel
Total Affiliations: 2
Document type: Journal article
Source: Physical Review E; v. 98, n. 3 SEP 28 2018.
Web of Science Citations: 0
Abstract

We study epidemic processes using a metapopulation approach on the line featuring random transport rates between arbitrarily distant sites. An average transport network is found using a recently developed variant of the effective medium approximation (EMA) that is capable of dealing with these long-range connections. Using a Feynman-Kac argument in the effective medium, we derive an estimate on the size of the infected domain, and reproduce the known result of its exponential growth in time. We hereby demonstrate the applicability of long-range EMA to dynamical processes on networks more intricate than simple diffusion. (AU)

FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants