Dynamical widom-rowlinson model and its mesoscopic limit

Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Kutoviy, Oleksandr; Oliveira, Maria João

http://hdl.handle.net/10400.2/3782

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Authors

Finkelshtein, Dmitri L.

Kondratiev, Yuri G.

Kutoviy, Oleksandr

Oliveira, Maria João

Abstract(s)

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 spacehomogeneous 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

Widom–Rowlinson model Stochastic dynamics in the continuum Lebowitz–Penrose scaling Kinetic equations Bifurcation

URI

http://hdl.handle.net/10400.2/3782

Citation

Finkelshtein, D. [et al.] - Dynamical Widom-Rowlinson model and its mesoscopic limit. "Journal of Statistical Physics" [Em linha]. ISSN 0022-4715 (Print) 1572-9613 (Online). Vol. 158, nº 1 (jan. 2015), p. 57-86