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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 187, Number 3, Pages 531–559
DOI: https://doi.org/10.4213/tmf9004 (Mi tmf9004) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A model of nonautonomous dynamics driven by repeated harmonic interaction

V. A. Zagrebnovab, H. Tamurac

a Institut de Mathématiques de Marseille, Marseille, France
b Département de Mathématiques, Université d'Aix-Marseille, Marseille, France
c Institute of Science and Engineering, Graduate School of the Natural Science and Technology, Kanazawa University, Kanazawa, Japan
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DOI: https://doi.org/10.4213/tmf9004
Abstract: We consider an exactly solvable model of nonautonomous $W^*$-dynamics driven by repeated harmonic interaction. The dynamics is Hamiltonian and quasifree. Because of inelastic interaction in the large-time limit, it leads to relaxation of initial states to steady states. We derive the explicit entropy production rate accompanying this relaxation. We also study the evolution of different subsystems to elucidate their eventual correlations and convergence to equilibriums. In conclusion, we prove that the $W^*$-dynamics manifests a universal stationary behavior in a short-time interaction limit.
Keywords: $W^*$-dynamics, repeated perturbation.
Funding agency Grant number
Japan Society for the Promotion of Science (C) 24540168
The research of H. Tamura was supported by the JSPS (Grant-in-Aid for Scientific Research (C) 24540168).
Received: 13.07.2015
Revised: 20.10.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 187, Issue 3, Pages 909–934
DOI: https://doi.org/10.1134/S004057791606009X
Bibliographic databases:
Language: Russian
Citation: V. A. Zagrebnov, H. Tamura, “A model of nonautonomous dynamics driven by repeated harmonic interaction”, TMF, 187:3 (2016), 531–559; Theoret. and Math. Phys., 187:3 (2016), 909–934
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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