Phase Transitions in Multicomponent Widom-Rowlinson Models
We use Monte Carlo techniques to study the phase diagram of multicomponent Widom-Rowlinson models on a square lattice: there are M species all with the same fugacity z and a nearest neighbor hard core exclusion between unlike particles. For M between two and six there is a direct transition from the gas phase at z < z d (M) to a demixed phase consisting mostly of one species at z > z d (M). For M ≥ 7 there is an intermediate ordered phase in which the even (or odd) sublattice is occupied preferentially by particles chosen at random from any of the species. The existence of such an intermediate phase was proven earlier for M ≥ M 0, M 0 very large. Exact calculations on the Bethe lattice give M0 = 4.
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- J.L. Lebowitz, A. Mazel, P. Nielaba, L. Samaj, Phys. Rev. E (in press).Google Scholar
- Finite Size Scaling and Numerical Simulation, edited by V. Privman (World Scientific, Singapore, 1990); M.N. Barber, in Phase Transitions and Critical Phenomena 8, edited by C. Domb and J.L. Lebowitz ( Academic, London, 1983 ).Google Scholar
- K. Binder, Z. Phys. B 43, 119 (1981).Google Scholar