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Dynamics of systems with hierarchical structure

  • Physics of Liquids and Gases
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Soviet Physics Journal Aims and scope

Abstract

Complex systems with elements of finite volume and complex structure are considered. For such systems, on the basis of the Hamiltonian mechanism, equations describing the change in the generating functionals over time are obtained. The equations have a complex hierarchical form. Investigation of these equations allows relations to be obtained between the characteristics of point particles and the subsystems which they constitute.

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Literature cited

  1. N. N. Bogolyubov, Problems of Dynamic Theory in Statistical Physics. Selected Works [in Russian], Vol. 2, Naukova Dumka, Kiev (1970), p. 414.

    Google Scholar 

  2. V. V. Ryazanov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 129, 1978.

    Google Scholar 

  3. V. V. Ryazanov, Ukr. Fiz. Zh.,23, No. 6, 965–972; No. 7, 1036–1046 (1978).

  4. F. M. Kuni, Statistical Physics and Thermodynamics [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  5. B. S. Bartlett, Introduction to the Theory of Random Processes [Russian translation], IL, Moscow (1958).

    Google Scholar 

  6. A. A. Vlasov, Statistical Distribution Functions [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  7. K. P. Gurov, Fundamentals of Kinetic Theory. The Bogolyubov Method [in Russian], Nauka, Moscow (1966).

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 65–69, September, 1982.

It remains to thank A. F. Turbin for assistance in the work and for valuable discussions.

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Ryazanov, V.V. Dynamics of systems with hierarchical structure. Soviet Physics Journal 25, 825–828 (1982). https://doi.org/10.1007/BF00892400

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  • DOI: https://doi.org/10.1007/BF00892400

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