Skip to main content
SpringerLink
Log in

Relaxation of a hard-sphere gas and criteria of validity of the calculations

  • Gases and Fluids
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The isotropic Boltzmann equation is solved using the Sonin moment system of equations. The main task here is the construction of a matrix describing the particle interaction. Such a matrix has been constructed analytically for various interaction cross sections in a number of papers [M. Barnsley and G. Turchetti, Lett. Nuovo Cimento 33, 347 (1982); G. Turchetti and M. Paolilli, Phys. Lett. A 90, 123 (1982); F. Schürrer and G. Kügerl, Phys. Fluids A 2, 609 (1990); A. Ya. Énder and I. A. Énder, Tech. Phys. 39, 997 (1994)]. Calculations of matrix elements arrived at by different methods for the hard-sphere model are compared. Some general properties of the matrix are found that can be used as criteria of the validity of the calculations. With the help of such criteria it is shown that the nonlinear matrix elements were calculated incorrectly by Schürrer and Kügerl (op. cit.).

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Barnsley and G. Turchetti, Lett. Nuovo Cimento 33, 347 (1982).

    ADS  MathSciNet  Google Scholar 

  2. G. Turchetti and M. Paolilli, Phys. Lett. A 90, 123 (1982).

    Article  ADS  Google Scholar 

  3. F. Schürrer and G. Kügerl, Phys. Fluids A 2, 609 (1990).

    ADS  Google Scholar 

  4. A. Ya. Énder and I. A. Énder, Zh. Tekh. Fiz. 64, 38 (1994) [Tech. Phys. 39, 997 (1994)].

    Google Scholar 

  5. I. A. Énder and A. Ya. Énder, Dokl. Akad. Nauk SSSR 193, 61 (1970) [Sov. Phys. Dokl. 15, 1 (1970)].

    Google Scholar 

  6. I. N. Kolyshkin, A. Ya. Énder and I. A. Énder, Zh. Vychisl. Mat. Mat. Fiz. 28, No. 6, 901 (1988).

    Google Scholar 

  7. C. A. Word and D. Mintzer, Phys. Fluids 14, 499 (1971).

    Google Scholar 

  8. M. H. Ernst, Phys. Rep. 78, 1 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  9. I. A. Énder and A. Ya. Énder, Zh. Tekh. Fiz. 54, 1671 (1984) [Tech. Phys. 29, 978 (1984)].

    Google Scholar 

  10. I. N. Kolyshkin, A. Ya. Énder, and I. A. Énder, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza No. 5, 132 (1977).

  11. E. M. Deshpande and R. Narasimha, J. Fluid Mech. 36, 3 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. A. F. Ioffe Physicotechnical Institute, Russian Academy of Sciences, 194021, St. Petersburg, Russia

    A. Ya. Énder & I. A. Énder

  2. St. Petersburg State University, 199034, St. Petersburg, Russia

    A. Ya. Énder & I. A. Énder

Authors
  1. A. Ya. Énder
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. A. Énder
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Zh. Tekh. Fiz. 68, 18–26 (May 1998)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Énder, A.Y., Énder, I.A. Relaxation of a hard-sphere gas and criteria of validity of the calculations. Tech. Phys. 43, 493–501 (1998). https://doi.org/10.1134/1.1259027

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1259027

Keywords

Search

Navigation