Skip to main content
Log in

Number-theoretic internal energy for a gas mixture

  • Published:
Russian Journal of Mathematical Physics Aims and scope Submit manuscript

To the memory of Evgenii Grigor’evich Maksimov, a great physicist and a great human being

Abstract

For a gas mixture, the new concept of number-theoretic internal energy is introduced. This energy does not depend on the masses of the miscible gases.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. P. Maslov and V. E. Nazaikinskii, “On the Distribution of Integer Random Variables Related by a Certain Linear Inequality: I,” Mat. Zametki 83(2), 232–263 (2008) [Math. Notes 83 (2), 211–237 (2008)].

    MathSciNet  Google Scholar 

  2. V. P. Maslov, “A New Approach to Phase Transitions, Thermodynamics, and Hydrodynamics,” Teoret. Mat. Fiz. 165(3), 543–567 (2010) [Theoret. Math. Phys. 165 (3), 1699–1720 (2010)].

    Google Scholar 

  3. V. P. Maslov, “Mathematical Solution of the Gibbs Paradox,” Mat. Zametki 89(2), 272–284 (2011) [Math. Notes 89 (2), 266–276 (2011)].

    Google Scholar 

  4. K. I. Shmulovich and L. Mercury, “Geochemical Phenomena at Negative Pressures,” Electronic Scientific Information Journal “Herald of the Department of Earth Sciences RAS” 1(24), 1–3 (2006).

    Google Scholar 

  5. V. P. Maslov, “Theory of Chaos and Its Application to the Crisis of Debts and the Origin of the Inflation,” Russ. J. Math. Phys. 16(1), 103–120 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  6. V. P. Maslov, “Mixture of New Ideal Gases and the Solution of Problems in Gibbs and Einstein Paradoxes,” Russ. J. Math. Phys. 18(1), 83–101 (2011).

    Article  MathSciNet  Google Scholar 

  7. V. P. Maslov, “On the Appearance of the λ-Point in a Weakly Nonideal Bose Gas and the Two-Liquid Thiess-Landau Model,” Russ. J. Math. Phys. 16(2), 146–165 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  8. S. M. Avdoshin, V. V. Belov, V. P. Maslov, and A. M. Chebotarev, “Design of Computational Media: Mathematical Aspects,” In: Mathematical Aspects of Computer Engineering, Eds. V. P. Maslov, K. Volosov (Mir Publishers, Moscow, 1988), pp. 9–145 [in Russian].

    Google Scholar 

  9. V. P. Maslov, “Gibbs Paradox, Liquid Phase as an Alternative to the Bose Condensate, and Homogeneous Mixtures of New Ideal Gases,” Math. Notes 89(3), 366–373 (2011).

    Article  MATH  Google Scholar 

  10. V. P. Maslov, “Phase Transitions in Real Gases and Ideal Bose Gases,” Teoret. Mat. Fiz. 167(2), 293–309, (2011) [in Russian].

    Google Scholar 

  11. A. R. Price and R. Kobayashi, “Low temperature vapor-liquid equilibrium in light hydrocarbon mixtures: Methane-ethane-propane system.” J. Chem. Eng. Data 4, 40–52 (1959).

    Article  Google Scholar 

  12. I. Wichterle and R. Kobayashi, “Vapor-liquid equilibrium of methane-ethane system at low temperatures and high pressures,” J. Chem. Eng. Data 17(1), 9–12 (1972).

    Article  Google Scholar 

  13. H. H. Reamer, B. H. Sage, and W. N. Lacey, Phase equilibria in hydrocarbon systems: Volumetric and phase behavior of the methane-propane system, Ind. Eng. Chem. 42(3), 534–539 (1950).

    Article  Google Scholar 

  14. V. P. Maslov, “Mixture of New Ideal Gases and the Solution of Problems in Gibbs and Einstein Paradoxes”, Russian J. Math. Phys. 18(1), 83–101 (2011).

    Article  ADS  Google Scholar 

  15. V. P. Maslov, “Solution of the Gibbs Paradox Using the Notion of Entropy as a Function of Fractal Dimension”, Russian J. Math. Phys. 17(3), 251–261 (2010).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maslov, V.P. Number-theoretic internal energy for a gas mixture. Russ. J. Math. Phys. 18, 163–175 (2011). https://doi.org/10.1134/S1061920811020051

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061920811020051

Keywords

Navigation