Front propagation in a one-dimensional autocatalytic reaction-subdiffusion system.
We study numerically the autocatalytic irreversible reaction A+B-->2A on a one-dimensional lattice for the case of subdiffusive reactants performing symmetric continuous-time random walks with the power-law waiting time density function psi(t) proportional, t(-1-alpha) with 0<alpha<1 in a large range of other relevant parameters. We show that the propagation failure previously found by the same authors [Phys. Rev. E 78, 011128 (2008)] essentially corresponds to a propagation of a front of a stable form at a velocity which decays with time.
Schmidt-Martens
H H
HH
Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany.
Froemberg
D
D
Sokolov
I M
IM
Sagués
F
F