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Kinetics of contact processes under segregation

AuthorsAquino, Tomás; Dentz, Marco CSIC ORCID
KeywordsStatistical Physics
Population dynamics
Continuous-time random walk
Fluctuations & noise
Issue Date10-Jan-2020
PublisherAmerican Physical Society
CitationPhysical Review - Section E - Statistical Nonlinear and Soft Matter Physics 101: 012114 (2020)
AbstractThe kinetics of contact processes are determined by the interplay among local mass transfer mechanisms, spatial heterogeneity, and segregation. Determining the macroscopic behavior of a wide variety of phenomena across the disciplines requires linking reaction times to the statistical properties of spatially fluctuating quantities. We formulate the dynamics of advected agents interacting with segregated immobile components in terms of a chemical continuous-time random walk. The inter-reaction times result from the first-passage times of mobile species to and across reactive regions, and available immobile reactants undergo a restart procedure. Segregation leads to memory effects and enhances the role of concentration fluctuations in the large-scale dynamics.
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