Infinite particle systems with collective behaviour and related mesoscopic equations

Ha S-Y, Kim J, Kuchling P, Kutovyi O (2019)
JOURNAL OF MATHEMATICAL PHYSICS 60(12): 122704.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Ha, Seung-Yeal; Kim, Jeongho; Kuchling, PeterUniBi; Kutovyi, OleksandrUniBi
Abstract / Bemerkung
We study analogs of Kuramoto and Cucker-Smale models for systems with infinite interacting particles. For such systems, we describe the way to derive the corresponding kinetic (mesoscopic) equation reflecting the statistical characteristics of the whole microscopic system in the sense of a proper scaling. This derivation has an algorithmic realization in terms of related hierarchical chains of correlation function equations. We compare the obtained mesoscopic equations for considered infinite interacting particle systems with kinetic equations derived from ordinary differential equation models of finite particle systems using the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy technique.
Erscheinungsjahr
2019
Zeitschriftentitel
JOURNAL OF MATHEMATICAL PHYSICS
Band
60
Ausgabe
12
Art.-Nr.
122704
ISSN
0022-2488
eISSN
1089-7658
Page URI
https://pub.uni-bielefeld.de/record/2940101

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Ha S-Y, Kim J, Kuchling P, Kutovyi O. Infinite particle systems with collective behaviour and related mesoscopic equations. JOURNAL OF MATHEMATICAL PHYSICS. 2019;60(12): 122704.
Ha, S. - Y., Kim, J., Kuchling, P., & Kutovyi, O. (2019). Infinite particle systems with collective behaviour and related mesoscopic equations. JOURNAL OF MATHEMATICAL PHYSICS, 60(12), 122704. doi:10.1063/1.5095487
Ha, S. - Y., Kim, J., Kuchling, P., and Kutovyi, O. (2019). Infinite particle systems with collective behaviour and related mesoscopic equations. JOURNAL OF MATHEMATICAL PHYSICS 60:122704.
Ha, S.-Y., et al., 2019. Infinite particle systems with collective behaviour and related mesoscopic equations. JOURNAL OF MATHEMATICAL PHYSICS, 60(12): 122704.
S.-Y. Ha, et al., “Infinite particle systems with collective behaviour and related mesoscopic equations”, JOURNAL OF MATHEMATICAL PHYSICS, vol. 60, 2019, : 122704.
Ha, S.-Y., Kim, J., Kuchling, P., Kutovyi, O.: Infinite particle systems with collective behaviour and related mesoscopic equations. JOURNAL OF MATHEMATICAL PHYSICS. 60, : 122704 (2019).
Ha, Seung-Yeal, Kim, Jeongho, Kuchling, Peter, and Kutovyi, Oleksandr. “Infinite particle systems with collective behaviour and related mesoscopic equations”. JOURNAL OF MATHEMATICAL PHYSICS 60.12 (2019): 122704.