Abstract
The concept of an ideal fluid is introduced and the thermodynamics of fluids is constructed using theorems on Diophantine equations.
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M. Yang and H. Ma, “Effect of polydispersity of the relative stability of hard-sphere crystals,” J. Chem. Phys. 128(13), 1345101–7 (2008).
V. P. Maslov, “On the New Distribution Generalizing the Gibbs, Bose-Einstein, and Pareto Distributions,” Math. Notes, 85(5), 613–622 (2009).
V. P. Maslov, “Phase transitions of the first and second order” Russ. J. Math. Phys. 16(3), (2009).
L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory, 2nd ed. (Nauka, Moscow, 1964; translation of the 1st ed., Pergamon Press, London-Paris and Addison-Wesley Publishing Co., Inc., Reading, Mass., 1958).
V. P. Maslov, Operator Methods (Nauka, Moscow, 1973).
S. G. Gindikin, Tales about Physicists and Mathematicians (MTsNMO, Moscow, 2001).
J. M. Calo. “Dimer formation in supersonic water vapor molecular beams,” J. Chem. Phys. 62(12), 4904–4910, (1975).
V. P. Maslov, Threshold Levels in Economics, arXiv:0903.4783v2 [q-fin. ST] 3 Apr 2009.
V. P. Maslov. “New Look at the Thermodynamics of Gas and at the Clusterization,” Russ. J. Math. Phys. 15(4), 494–511 (2008).
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Maslov, V.P. Thermodynamics of fluids as a consequence of distribution theory for Diophantine equations. Math Notes 86, 3–9 (2009). https://doi.org/10.1134/S0001434609070013
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DOI: https://doi.org/10.1134/S0001434609070013