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 -