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 inJournal of statistical physics Vol. 158; no. 1; pp. 57 - 86
Main Authors Finkelshtein, Dmitri, Kondratiev, Yuri, Kutoviy, Oleksandr, Oliveira, Maria João
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.01.2015
Springer
Subjects
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Widom–Rowlinson model
Kinetic equations
70F45
34A34
Bifurcation
Stochastic dynamics in the continuum
Lebowitz–Penrose scaling
37A60
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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