Skip to main content
SpringerLink
Log in

Thermodynamic theory of the equation of state of materials

  • Theoretical and Mathematical Physics
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

A universal derivation of the thermodynamic equations on the basis of a combined analysis of the exact relations for any material — the virial theorem, the shock adiabat, and the differential thermodynamic identity relating the thermic and caloric equations of state of matter — is given. This combination makes it possible to reduce the fundamental problem of thermodynamics to a boundary-value problem of mathematical physics. Analytic relations T s=T(P s,ρ s and T s=T(D,u) are obtained for classical systems.

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. R. P. Feynman, Statistical Mechanics, Benjamin, Reading, Mass., 1972 [Mir, Moscow, 1975].

    Google Scholar 

  2. R. Kubo, Statistical Mechanics (North-Holland, Amsterdam, 1965; Mir, Moscow, 1967).

    Google Scholar 

  3. M. F Sarry, Vopr. At. Nauk Tekh. Ser. TPF (Kharkov), No. 3, 10 (1992).

  4. Ya. B. Zel’dovich and Yu. P. Raizer, Elements of Gas Dynamics and the Classical Theory of Shock Waves, (Academic Press, New York, 1968; Russian original, Nauka, Moscow, 1966), pp. 10–13.

    Google Scholar 

  5. V. N. Zharkov and B. A. Kalinin, Equations of State of Solids at High Pressures and Temperatures [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  6. R. Kubo, Thermodynamics (North-Holland, Amsterdam, 1968; Mir, Moscow, 1970).

    Google Scholar 

  7. L. V. Al’tshuler, Usp. Fiz. Nauk 85, 197 (1965) [Sov. Phys. Usp. 8, 52 (1965)].

    Google Scholar 

  8. L. V. Al’tshuler and A. A. Bakanova, Usp. Fiz. Nauk 96, 193 (1968) [Sov. Phys. Usp. 11, 678 (1968)].

    Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd ed. (Pergamon Press, New York, 1987; cited Russian original, Nauka, Moscow, 1988).

    Google Scholar 

  10. L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd ed. rev. and enl., with L. P. Pitaevskii (Pergamon Press, New York, 1980; Russian original, Nauka, Moscow, 1976).

    Google Scholar 

  11. F. Seitz, Modern Theory of Solids (McGraw-Hill, New York, 1940; GITTL, Moscow, 1949).

    Google Scholar 

  12. I. K. Kikoin and A. K. Kikoin, Molecular Physics [in Russian], Fizmatgiz, Moscow, 1963.

    Google Scholar 

  13. B. A. Nadykto, Usp. Fiz. Nauk 163, 37 (1993).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. All-Russia Scientific-Research Institute of Experimental Physics, 607190, Sarov, Nizhegorod District, Russia

    M. F. Sarry

Authors
  1. M. F. Sarry
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Zh. Tekh. Fiz. 68, 1–9 (October 1998)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sarry, M.F. Thermodynamic theory of the equation of state of materials. Tech. Phys. 43, 1137–1144 (1998). https://doi.org/10.1134/1.1259168

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1259168

Keywords

Search

Navigation