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.
Similar content being viewed by others
References
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)].
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)].
V. P. Maslov, “Mathematical Solution of the Gibbs Paradox,” Mat. Zametki 89(2), 272–284 (2011) [Math. Notes 89 (2), 266–276 (2011)].
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).
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).
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).
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).
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].
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).
V. P. Maslov, “Phase Transitions in Real Gases and Ideal Bose Gases,” Teoret. Mat. Fiz. 167(2), 293–309, (2011) [in Russian].
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).
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).
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).
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).
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).
Author information
Authors and Affiliations
Rights 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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1061920811020051