Crossover Phenomena and Finite-Size Scaling Analysis of Numerical Simulations

The implications of the scaling theory for the crossover from one universality class of critical phenomena to another one are worked out for finite-size scaling analyses of numerical simulation data. Near a multicritical point finite-size scaling critical amplitudes have a singular dependence on the distance from the multicritical point. Attention is also paid to the crossover to Landau-like behaviour when the interaction range diverges, and as an application Monte Carlo results for polymer mixtures are discussed.