K. Krebs et al., FINITE-SIZE-SCALING STUDIES OF ONE-DIMENSIONAL REACTION-DIFFUSION SYSTEMS .2. NUMERICAL-METHODS, Journal of statistical physics, 78(5-6), 1995, pp. 1471-1491
The scaling exponent and the scaling function for the 1D single-specie
s coagulation model (A + A --> A) are shown to be universal, i.e., the
y are not influenced by the value of the coagulation rate. They are in
dependent of the initial conditions as well. Two different numerical m
ethods are used to compute the scaling properties of the concentration
: Monte Carlo simulations and extrapolations of exact finite-lattice d
ata. These methods are tested in a case where analytical results are a
vailable. To obtain reliable results from finite-size extrapolations,
numerical data for lattices up to ten sites are sufficient.