Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling

Berns C, Kondratiev Y, Kutoviy O (2015)
Journal of Statistical Physics 161(4): 876-901.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We investigate stochastic (conservative) non-equilibrium jump dynamics of interacting particles in continuum. The corresponding evolutions of correlation functions are constructed. The mesoscopic scaling (Vlasov scaling) of the dynamics is studied and the corresponding kinetic equations for the particle densities are derived.
Stichworte
Kinetic equation; Vlasov scaling; Non-equilibrium evolution; Interacting particle system; Jump dynamics
Erscheinungsjahr
2015
Zeitschriftentitel
Journal of Statistical Physics
Band
161
Ausgabe
4
Seite(n)
876-901
ISSN
0022-4715
Page URI
https://pub.uni-bielefeld.de/record/2786326

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Berns C, Kondratiev Y, Kutoviy O. Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling. Journal of Statistical Physics. 2015;161(4):876-901.
Berns, C., Kondratiev, Y., & Kutoviy, O. (2015). Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling. Journal of Statistical Physics, 161(4), 876-901. doi:10.1007/s10955-015-1365-z
Berns, C., Kondratiev, Y., and Kutoviy, O. (2015). Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling. Journal of Statistical Physics 161, 876-901.
Berns, C., Kondratiev, Y., & Kutoviy, O., 2015. Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling. Journal of Statistical Physics, 161(4), p 876-901.
C. Berns, Y. Kondratiev, and O. Kutoviy, “Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling”, Journal of Statistical Physics, vol. 161, 2015, pp. 876-901.
Berns, C., Kondratiev, Y., Kutoviy, O.: Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling. Journal of Statistical Physics. 161, 876-901 (2015).
Berns, Christoph, Kondratiev, Yuri, and Kutoviy, Oleksandr. “Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling”. Journal of Statistical Physics 161.4 (2015): 876-901.