Spontaneous repulsion in the A+B→0 reaction on coupled networks

Filippos Lazaridis, Bnaya Gross, Michael Maragakis, Panos Argyrakis, Ivan Bonamassa, Shlomo Havlin, Reuven Cohen

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

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.

Original languageEnglish
Article number040301
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume97
Issue number4
DOIs
StatePublished - 4 Apr 2018
Externally publishedYes

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