Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit

Author(s)
Finkelshtein, Dmitri; Kondratiev, Yuri; Kutoviy, Oleksandr; Oliveira, Maria João
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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.
Date issued
2014-09
URI
http://hdl.handle.net/1721.1/103751
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Journal of Statistical Physics
Publisher
Springer US
Citation
Finkelshtein, Dmitri, Yuri Kondratiev, Oleksandr Kutoviy, and Maria João Oliveira. “Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit.” J Stat Phys 158, no. 1 (September 30, 2014): 57–86.
Version: Author's final manuscript
ISSN
0022-4715
1572-9613
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