Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit
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Author(s)
Finkelshtein, Dmitri
Kondratiev, Yuri
Kutoviy, Oleksandr
Oliveira, Maria João
Date Issued
September 2014
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.
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Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s10955-014-1124-6
