Dynamical Widom-Rowlinson model and its mesoscopic limit
  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. 
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Maria Joao   Oliveira
math-ph math.DS math.MP nlin.AO