Skip to main content
Log in

Properties of hydrodynamic nuclei for quantum field models

  • Physics Of Elementary Particles And Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

The transition to the hydrodynamic limit for a many-particle quantum system withN local conservation laws is made in a specified class of external effects. It is shown that the hydrodynamic equations are nonlocal in time and space and the hydrodynamic model is equivalent to the initial quantum statistical model. The nuclei appearing in the material relations are expressed in terms of the Green functions for the currents. It follows from the properties of the Green functions that the hydrodynamic model satisfies the dissipation conditions. When the quantum field model isT-invariant, the nuclei are related by reciprocal relations (analogous to the Onsager relations).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. D. N. Zubarev, Nonequilibrium Statistical Thermodynamics [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  2. V. Ya. Rudyak, Statistical Theory of Dissipative Processes in Gases and Liquids [in Russian], Nauka, Novosibirsk (1987).

    Google Scholar 

  3. O. Yu. Dinariev, Zh. Éksp. Teor. Fiz.,106, No. 1(7), 161–171 (1994).

    Google Scholar 

  4. O. Yu. Dinariev, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 7, 70–75 (1994).

  5. N. N. Bogolyubov, A. A. Logunov, A. I. Oksak, and I. T. Todorov, General Principles of Quantum Field Theory [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  6. O. Yu. Dinariev, Dokl. Akad. Nauk SSSR,309, No. 3, 615–618 (1989).

    Google Scholar 

Download references

Authors

Additional information

Institute of Earth Physics, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 34–38, July, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dinariev, O.Y. Properties of hydrodynamic nuclei for quantum field models. Russ Phys J 38, 682–686 (1995). https://doi.org/10.1007/BF00560268

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00560268

Keywords

Navigation