In this paper,we present a cluster algorithm for the numerical simulations of nonadditive hard-core mixtures.This algorithm allows one to simulate and equilibrate systems with a number of particles two orders of magnitude larger than previous simulations.The phase separation for symmetric binary mixtures is studied for different nonadditivities as well as for the Widom-Rowlinson model [B.Widom and J.S.Rowlinson,J.Chem.Phys.52,1670 (1970)] in two and three dimensions.The critical densities are determined from finite size scaling.The critical exponents for all the nonadditivities are consistent with the Ising universality class.
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