FINITE-SIZE-SCALING AND THE CROSSOVER TO MEAN-FIELD CRITICAL-BEHAVIOR IN THE 2-DIMENSIONAL ISING-MODEL WITH MEDIUM-RANGED INTERACTIONS

Critical amplitudes in finite-size scaling relations show a singular dependence on the range of the interactions, R. The respective power laws are predicted from phenomenological crossover scaling considerations. These predictions are tested by Monte Carlo simulations for medium-ranged Ising square lattices. It is speculated that some deviations between the simulation results and corresponding predictions may be due to logarithmic corrections.