Dominance of most tolerant species in multi-type lattice Widom–Rowlinson models
A. MazelYu. M. SuhovStatslab, DPMMS, University of Cambridge, Wilberforce Rd, Cambridge CB3 0WB, UKIzabella StuhlUniversity of Debrecen, 4032 Debrecen, Egyetem tér 1, HungaryStefan ZohrenDepartment of Physics, Pontifica Universidade Católica, Rio de Janeiro, Brazil
2014en
ABI
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.
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