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Spontaneous repulsion in the A+B→0 reaction on coupled networks
Title / Series / Name
Publication Volume
Publication Issue
Pages
Editors
Keywords
Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics
Statistics and Probability
Condensed Matter Physics
URI
https://hdl.handle.net/20.500.14018/27423
Abstract
We study the transient dynamics of an A+B→0 process on a pair of randomly coupled networks, where reactants are initially separated. We find that, for sufficiently small fractions q of cross couplings, the concentration of A (or B) particles decays linearly in a first stage and crosses over to a second linear decrease at a mixing time tx. By numerical and analytical arguments, we show that for symmetric and homogeneous structures tx((k)/q)log((k)/q) where (k) is the mean degree of both networks. Being this behavior is in marked contrast with a purely diffusive process, where the mixing time would go simply like (k)/q, we identify the logarithmic slowing down in tx to be the result of a spontaneous mechanism of repulsion between the reactants A and B due to the interactions taking place at the networks' interface. We show numerically how this spontaneous repulsion effect depends on the topology of the underlying networks.
Topic
Publisher
Place of Publication
Type
Journal article
Date
2018-04-04
Language
ISBN
Identifiers
10.1103/PhysRevE.97.040301