2004/09/30 by Arnaud Buhot
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Binary number #Cluster (spacecraft) #Computer science #Condensed matter physics #Core (optical fiber) #Critical exponent #Geometry #Hard core #Ising model #Material Dynamics and Properties #Mathematics #Phase Equilibria and Thermodynamics #Physics #Scaling #Scaling law #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.1831274
published as J. Chem. Phys. 122, 024105 (2005). · 11 pages and 9 figures, to be published in J. Chem. Phys. Minor corrections and some references added
arxiv created 2004/10/27 · openalex publication_date 2004/12/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.