TY - JOUR

T1 - Spontaneous repulsion in the A+B→0 reaction on coupled networks

AU - Lazaridis, Filippos

AU - Gross, Bnaya

AU - Maragakis, Michael

AU - Argyrakis, Panos

AU - Bonamassa, Ivan

AU - Havlin, Shlomo

AU - Cohen, Reuven

N1 - Publisher Copyright:
©2018 American Physical Society.

PY - 2018/4/4

Y1 - 2018/4/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85044987705&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.97.040301

DO - 10.1103/PhysRevE.97.040301

M3 - Article

C2 - 29758747

AN - SCOPUS:85044987705

SN - 2470-0045

VL - 97

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 4

M1 - 040301

ER -