FINITE-SIZE-SCALING STUDIES OF ONE-DIMENSIONAL REACTION-DIFFUSION SYSTEMS .2. NUMERICAL-METHODS

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.