Аннотация:
The author constructs a new conception of thermodynamics which is based on new results in number theory. We consider a maximally wide range of gases, liquids, and fluids to which, in principle, the Carathéodory approach can be applied. The Carathéodory principle is studied using the Lennard-Jones potential as an example. On the basis of this example, we analyze the dispersive structure of a fluid whose density exceeds the critical value. We introduce a new parameter, the “jamming factor,” which determines the jamming effect for such fluids. A comparison with experimental data for nonpolar molecules is carried out. The phase transition “liquid-amorphous solid” is studied in detail in the domain of negative pressures. We discuss the theoretical relationship between the obtained solutions and econophysics, some mysteries in biology, and other sciences.
Ключевые слова:Hougen–Watson diagram, van der Waals law of corresponding states, van der Waals equation of state, Lennard-Jones potential, Lagrangian manifold, contact manifold, Legendre manifold, Bachinskii condition, Zeno line, Bose–Einstein distribution, Fermi–Dirac distribution, Gentile correction, Carathéodory conception, dispersive medium, entropy production, phase transition “liquid-amorphous solid.”.
Список цитирования
