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

@article{Mazel2013ACW, title={A Classical WR Model with \$\$q\$\$q Particle Types}, author={Alexander E. Mazel and Yuri M. Suhov and Izabella Stuhl}, journal={Journal of Statistical Physics}, year={2013}, volume={159}, pages={1040-1086} }

A version of the Widom–Rowlinson model is considered, where particles of $$q$$q types coexist, subject to pairwise hard-core exclusions. For $$q\le 4$$q≤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.

## 25 Citations

### Phase Transition for Continuum Widom–Rowlinson Model with Random Radii

- MathematicsJournal of Statistical Physics
- 2018

In this paper we study the phase transition of continuum Widom–Rowlinson measures in $$\mathbb {R}^d$$Rd with $$q$$q types of particles and random radii. Each particle $$x_i$$xi of type i is marked…

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

- Chemistry
- 2014

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…

### Low-Temperature Behavior of the Multicomponent Widom–Rowlison Model on Finite Square Lattices

- MathematicsJournal of Statistical Physics
- 2018

We consider the multicomponent Widom–Rowlison with Metropolis dynamics, which describes the evolution of a particle system where M different types of particles interact subject to certain hard-core…

### Low-Temperature Behavior of the Multicomponent Widom–Rowlison Model on Finite Square Lattices

- Mathematics
- 2017

We consider the multicomponent Widom–Rowlison with Metropolis dynamics, which describes the evolution of a particle system where M different types of particles interact subject to certain hard-core…

### Sharp phase transition for the continuum Widom–Rowlinson model

- Mathematics
- 2018

The Widom-Rowlinson model (or the Area-interaction model) is a Gibbs point process in $\mathbb{R}^d$ with the formal Hamiltonian $H(\omega)=\text{Volume}(\cup_{x\in\omega} B_1(x))$, where $\omega$ is…

### Gibbs-Non Gibbs Transitions in Different Geometries: The Widom-Rowlinson Model Under Stochastic Spin-Flip Dynamics

- PhysicsStatistical Mechanics of Classical and Disordered Systems
- 2019

The Widom-Rowlinson model is an equilibrium model for point particles in Euclidean space. It has a repulsive interaction between particles of different colors, and shows a phase-transition at high…

### Phase transition of the non-symmetric Continuum Potts model

- Mathematics
- 2019

We prove phase transition for the non-symmetric continuum Potts model with background interaction, by generalizing the methods introduced in the symmetric case by Georgii and Haggstrom. The proof…

### The Widom-Rowlinson model on the Delaunay graph

- Computer ScienceElectronic Journal of Probability
- 2019

The main tool is a uniform bound on the number of connected components in the Delaunay graph which provides a novel approach to Delaunays Widom Rowlinson models based on purely geometric arguments.

### Phase Transitions in Delaunay Potts Models

- Mathematics
- 2015

We establish phase transitions for certain classes of continuum Delaunay multi-type particle systems (continuum Potts models) with infinite range repulsive interaction between particles of different…

### Phase Transitions in Delaunay Potts Models

- MathematicsJournal of Statistical Physics
- 2015

We establish phase transitions for certain classes of continuum Delaunay multi-type particle systems (continuum Potts models) with infinite range repulsive interaction between particles of different…

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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…

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