Abstract:
We consider the thermodynamics of fluids (i.e., of a gas–liquid region where gas is indistinguishable from liquid). Using the methods of distribution theory for Diophantine equations, we find an explanation of certain old experiments. We disprove some old postulates and hypotheses, including the mathematical axiom that distributions of independent events are mutually multiplied. In the weakly nonideal case, we propose that the complex germ method should be used to avoid using the previously disproved Kac hypothesis on the conservation of chaos.
Keywords:
dimer, cluster, parastatistics, condensate, relativistic gas, liquid, fluid, thermodynamics, distribution theory, number theory.
This publication is cited in the following 9 articles:
K. A. Khaldoyanidi, “Phase diagrams of binary systems with fluid layering in a supercritical vapor-liquid area”, Russ. J. Phys. Chem., 85:12 (2011), 2088
Maslov V.P., “Tropical mathematics and the financial catastrophe of the 17th century. Thermoeconomics of Russia in the early 20th century”, Russ. J. Math. Phys., 17:1 (2010), 126–140
V. P. Maslov, “A new approach to phase transitions, thermodynamics, and hydrodynamics”, Theoret. and Math. Phys., 165:3 (2010), 1699–1720
Maslov V.P., “Hypothetic lambda-point for noble gases”, Russ. J. Math. Phys., 17:4 (2010), 454–467
V. P. Maslov, “Thermodynamics of fluids for imperfect gases with Lennard-Jones interaction potential: III”, Math Notes, 87:1-2 (2010), 79
V. P. Maslov, “Number theory, dimension theory, and the crisis of overproduction”, Math Notes, 88:3-4 (2010), 402
V. P. Maslov, “The λ-point in helium-4 and nonholonomic clusters”, Math Notes, 87:1-2 (2010), 298
V. P. Maslov, “Fluid thermodynamics, energy redistribution law, two-dimensional condensate, and T map”, Theoret. and Math. Phys., 161:3 (2009), 1681–1713
Maslov V.P., “Similarity laws in thermodynamics: Monomers and dimers and their relations to crises in society”, Russ. J. Math. Phys., 16:4 (2009), 492–507