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

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

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12 Scopus citations

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.

Original languageEnglish (US)
Article numberP08010
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2014
Issue number8
DOIs
StatePublished - Aug 1 2014

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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