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

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4 Scopus citations

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.

Original languageEnglish
Article number040301
JournalPhysical Review E
Volume97
Issue number4
DOIs
StatePublished - 4 Apr 2018

Bibliographical note

Publisher Copyright:
©2018 American Physical Society.

Funding

Acknowledgments . Results presented in this work have been produced using the European Grid Infrastructure (EGI) through the National Grid Infrastructures N G I _ G R N E T (HellasGrid) as part of the SEE Virtual Organization. This research was supported by European Commission FP7-FET Project Multiplex No. 317532. S.H. acknowledges the ISF, ONR Global, the Israel-Italian collaborative project NECST, Japan Science Foundation, BSF-NSF, and DTRA (Grant No. HDTRA-1-10-1-0014), together with the Israeli Ministry of Science, Technology and Space (MOST, Grant No. 3-12072) for financial support. This research was supported by European Commission FP7-FET Project Multiplex No. 317532. S.H. acknowledges the ISF, ONR Global, the Israel-Italian collaborative project NECST, Japan Science Foundation, BSF-NSF, and DTRA (Grant No. HDTRA-1-10-1-0014), together with the Israeli Ministry of Science, Technology and Space (MOST, Grant No. 3-12072) for financial support.

FundersFunder number
BSF-NSF
European Commission FP7-FET
Japan Science Foundation
NECST
Office of Naval Research
Defense Threat Reduction AgencyHDTRA-1-10-1-0014
Seventh Framework Programme317532
Ministry of Science, Technology and Space
Ministry of Science and Technology of the People's Republic of China
Ministry of Science and Technology3-12072
Israel Science Foundation

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