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2015-06-01·Journal of Statistical Physics

A Classical WR Model with $$q$$ q Particle Types

作者: A. Mazel ; Yu. Suhov ; I. Stuhl

A version of the Widom–Rowlinson model is considered, where particles of $$q$$ types coexist, subject to pairwise hard-core exclusions. For $$q\le 4$$ , in the case of large equal fugacities, we give a complete description of the pure phase picture based on the theory of dominant ground states.

arXiv.org, e-Print Archive, Condensed Matter

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

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

We analyze 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 diametersResults of numerical simulations are presented, showing densities of species in equilibrium phases and confirming the theor. picture.

arXiv: Mathematical Physics

A classical WR model with $q$ particle types

作者: A. Mazel ; Yu. Suhov ; I. Stuhl

A version of the Widom--Rowlinson model is considered, where particles of $q$ types coexist, with a given collection of hard-core exclusion diameters. For $q\leq 4$, in the case of large equal fugacities, we give a complete description of the pure phase picture, based on the theory of dominant ground states.

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