GLAUBER DYNAMICS IN CONTINUUM: A CONSTRUCTIVE APPROACH TO EVOLUTION OF STATES

Finkelshtein D, Kondratiev Y, Kozitsky Y (2013)
Discrete And Continuous Dynamical Systems 33(4): 1431-1450.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Finkelshtein, Dmitri; Kondratiev, YuriUniBi; Kozitsky, Yuri
Abstract / Bemerkung
The evolutions of states is described corresponding to the Glauber dynamics of an infinite system of interacting particles in continuum. The description is conducted on both micro-and mesoscopic levels. The microscopic description is based on solving linear equations for correlation functions by means of an Ovsjannikov-type technique, which yields the evolution in a scale of Banach spaces. The mesoscopic description is performed by means of the Vlasov scaling, which yields a linear in finite chain of equations obtained from those for the correlation function. Its main peculiarity is that, for the initial correlation function of the inhomogeneous Poisson measure, the solution is the correlation function of such a measure with density which solves a nonlinear differential equation of convolution type.
Stichworte
Ovsjannikov method; scale of Banach spaces; correlation function; configuration space; Glauber dynamics; birth-and-death point process; Vlasov; scaling limit
Erscheinungsjahr
2013
Zeitschriftentitel
Discrete And Continuous Dynamical Systems
Band
33
Ausgabe
4
Seite(n)
1431-1450
ISSN
1078-0947
Page URI
https://pub.uni-bielefeld.de/record/2553215

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Finkelshtein D, Kondratiev Y, Kozitsky Y. GLAUBER DYNAMICS IN CONTINUUM: A CONSTRUCTIVE APPROACH TO EVOLUTION OF STATES. Discrete And Continuous Dynamical Systems. 2013;33(4):1431-1450.
Finkelshtein, D., Kondratiev, Y., & Kozitsky, Y. (2013). GLAUBER DYNAMICS IN CONTINUUM: A CONSTRUCTIVE APPROACH TO EVOLUTION OF STATES. Discrete And Continuous Dynamical Systems, 33(4), 1431-1450. doi:10.3934/dcds.2013.33.1431
Finkelshtein, D., Kondratiev, Y., and Kozitsky, Y. (2013). GLAUBER DYNAMICS IN CONTINUUM: A CONSTRUCTIVE APPROACH TO EVOLUTION OF STATES. Discrete And Continuous Dynamical Systems 33, 1431-1450.
Finkelshtein, D., Kondratiev, Y., & Kozitsky, Y., 2013. GLAUBER DYNAMICS IN CONTINUUM: A CONSTRUCTIVE APPROACH TO EVOLUTION OF STATES. Discrete And Continuous Dynamical Systems, 33(4), p 1431-1450.
D. Finkelshtein, Y. Kondratiev, and Y. Kozitsky, “GLAUBER DYNAMICS IN CONTINUUM: A CONSTRUCTIVE APPROACH TO EVOLUTION OF STATES”, Discrete And Continuous Dynamical Systems, vol. 33, 2013, pp. 1431-1450.
Finkelshtein, D., Kondratiev, Y., Kozitsky, Y.: GLAUBER DYNAMICS IN CONTINUUM: A CONSTRUCTIVE APPROACH TO EVOLUTION OF STATES. Discrete And Continuous Dynamical Systems. 33, 1431-1450 (2013).
Finkelshtein, Dmitri, Kondratiev, Yuri, and Kozitsky, Yuri. “GLAUBER DYNAMICS IN CONTINUUM: A CONSTRUCTIVE APPROACH TO EVOLUTION OF STATES”. Discrete And Continuous Dynamical Systems 33.4 (2013): 1431-1450.