J. Mai et al., FRONT PROPAGATION AND LOCAL ORDERING IN ONE-DIMENSIONAL IRREVERSIBLE AUTOCATALYTIC REACTIONS, Physical review letters, 77(21), 1996, pp. 4462-4465
We consider the irreversible A + B --> 2A autocatalytic reaction via M
onte Carlo simulations in 1D. Contrary to mean-held-type predictions,
the simulations show that only a unique. stable front propagates. Its
structure is time independent and the spatial correlations turn out to
be universal functions of the dimensionless interparticle distances.
These findings are due to the discrete character (particles) of the mo
del and to the 1D topological constraints. The temporal changes of the
averaged front form stem from velocity fluctuations and are not a sig
n of unstable propagation.