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Poly-Hamiltonian Dynamic Systems and Turbulence

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Abstract

Proceeding from the general theory of poly-Hamiltonian dynamic systems, a model of multiflow motion is constructed in the phase space. The kinetic theory of poly-Hamiltonian systems is formulated. Hydrodynamic approximation is considered. In the context of this theory, a definition of turbulence is given and a scenario of its origin is described. As an example of systems creating turbulence, a gas of one-dimensional coupled oscillators is considered.

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Authors and Affiliations

  1. National Scientific Center, Russia

    S. S. Sannikov-Proskuryakov

  2. Khar’kov Physical-Technical Institute, Khar’kov, Russia

    A. A. Usenko

Authors
  1. S. S. Sannikov-Proskuryakov
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  2. A. A. Usenko
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 23–32, March, 2005.

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Sannikov-Proskuryakov, S.S., Usenko, A.A. Poly-Hamiltonian Dynamic Systems and Turbulence. Russ Phys J 48, 244–254 (2005). https://doi.org/10.1007/s11182-005-0115-0

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  • DOI: https://doi.org/10.1007/s11182-005-0115-0

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