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 sy...

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Bibliographic Details
Published in:Journal of statistical physics 2015-01, Vol.158 (1), p.57-86
Main Authors: Finkelshtein, Dmitri, Kondratiev, Yuri, Kutoviy, Oleksandr, Oliveira, Maria João
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Summary: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.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-014-1124-6