Dynamical Widom-Rowlinson model and its mesoscopic limit
arXiv:1405.6187 · doi:10.1007/s10955-014-1124-6
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 (8)
- Liquid-Vapor Phase Transitions for Systems with Finite Range Interactions
- Vlasov scaling for stochastic dynamics of continuous systems
- Non-equilibrium stochastic dynamics of continuous systems and Bogoliubov generating functionals
- 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
- Glauber dynamics in the continuum via generating functionals evolution
- Markov evolutions and hierarchical equations in the continuum: II. Multicomponent systems
- Displacement convexity and minimal fronts at phase boundaries