Reaction-diffusion on random spatial networks with scale-free jumping rates via effective medium theory
| Autor: | Igor M. Sokolov, Flavio Iannelli, Felix Thiel |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics - Physics and Society
Molecular diffusion Scale (ratio) FOS: Physical sciences Metapopulation Articles Physics and Society (physics.soc-ph) medicine.disease_cause 01 natural sciences Domain (mathematical analysis) 010305 fluids & plasmas Networks and Complex Systems Jumping Exponential growth 0103 physical sciences Line (geometry) Reaction–diffusion system medicine Statistical physics 010306 general physics Mathematics |
| Zdroj: | Physical Review. E |
| ISSN: | 2470-0053 2470-0045 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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