Dynamical Widom-Rowlinson model and its mesoscopic limit
Mathematical Physics
2015-03-09 v1 Dynamical Systems
math.MP
Adaptation and Self-Organizing Systems
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.
Keywords
Cite
@article{arxiv.1405.6187,
title = {Dynamical Widom-Rowlinson model and its mesoscopic limit},
author = {Dmitri Finkelshtein and Yuri Kondratiev and Oleksandr Kutoviy and Maria Joao Oliveira},
journal= {arXiv preprint arXiv:1405.6187},
year = {2015}
}