Dynamical Widom-Rowlinson model and its mesoscopic limit

Abstract

We consider the non-equilibrium dynamics for the Widom-Rowlinson model (without hard-core) in the continuum. The Lebowitz-Penrose-type scaling of the dynamics is studied and the system of the corresponding kinetic equations is derived. In the space-homogeneous case, the equilibrium points of this system are described. Their structure corresponds to the dynamical phase transition in the model. The bifurcation of the system is shown.

References in corpus (3)

• Coexistence of ordered and disordered phases in Potts models in the continuum
• Potts models in the continuum. Uniqueness and exponential decay in the restricted ensembles
• Displacement convexity and minimal fronts at phase boundaries