Dominance of most tolerant species in multi-type lattice Widom-Rowlinson models

Author(s)

Mazel, A. ; Suhov, Yu ; Stuhl, I. ; Zohren, S.

• Document type: Journal article
• Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. N/A, p. 9-pg., 2014-08-01.

Abstract

We analyse equilibrium phases in a multi-type lattice Widom-Rowlinson model with (i) four particle types, (ii) varying exclusion diameters between different particle types and (iii) large values of fugacity. Contrary to an expectation, it is not the most 'aggressive' species, with largest diameters, which dominates the equilibrium measure, but the 'most tolerant' one, which has smallest exclusion diameters. Results of numerical simulations are presented, showing densities of species in equilibrium phases and confirming the theoretical picture. (AU)

• FAPESP's process: 11/51845-5 - Analytical, finite and quasi-group loops
• Grantee: Izabella Stuhl
• Support Opportunities: Scholarships in Brazil - Post-Doctoral