Dynamical Widom-Rowlinson Model and Its Mesoscopic Limit

Finkelshtein D, Kondratiev Y, Kutoviy O, Oliveira MJ (2015)
Journal of Statistical Physics 158(1): 57-86.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Finkelshtein, Dmitri; Kondratiev, YuriUniBi; Kutoviy, Oleksandr; Oliveira, Maria Joao
Abstract / Bemerkung
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.
Stichworte
Bifurcation; Kinetic equations; Lebowitz-Penrose scaling; Widom-Rowlinson model; Stochastic dynamics in the continuum
Erscheinungsjahr
2015
Zeitschriftentitel
Journal of Statistical Physics
Band
158
Ausgabe
1
Seite(n)
57-86
ISSN
0022-4715
Page URI
https://pub.uni-bielefeld.de/record/2720318

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Finkelshtein D, Kondratiev Y, Kutoviy O, Oliveira MJ. Dynamical Widom-Rowlinson Model and Its Mesoscopic Limit. Journal of Statistical Physics. 2015;158(1):57-86.
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., & Oliveira, M. J. (2015). Dynamical Widom-Rowlinson Model and Its Mesoscopic Limit. Journal of Statistical Physics, 158(1), 57-86. doi:10.1007/s10955-014-1124-6
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., and Oliveira, M. J. (2015). Dynamical Widom-Rowlinson Model and Its Mesoscopic Limit. Journal of Statistical Physics 158, 57-86.
Finkelshtein, D., et al., 2015. Dynamical Widom-Rowlinson Model and Its Mesoscopic Limit. Journal of Statistical Physics, 158(1), p 57-86.
D. Finkelshtein, et al., “Dynamical Widom-Rowlinson Model and Its Mesoscopic Limit”, Journal of Statistical Physics, vol. 158, 2015, pp. 57-86.
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., Oliveira, M.J.: Dynamical Widom-Rowlinson Model and Its Mesoscopic Limit. Journal of Statistical Physics. 158, 57-86 (2015).
Finkelshtein, Dmitri, Kondratiev, Yuri, Kutoviy, Oleksandr, and Oliveira, Maria Joao. “Dynamical Widom-Rowlinson Model and Its Mesoscopic Limit”. Journal of Statistical Physics 158.1 (2015): 57-86.