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Математические заметки, 2016, том 100, выпуск 1, статья опубликована в англоязычной версии журнала
(Mi mzm11333)
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Эта публикация цитируется в 12 научных статьях (всего в 12 статьях)
Статьи, опубликованные в английской версии журнала
Обзорные статьи
New Approach to Classical Thermodynamics
V. P. Maslovab a National Research University Higher School of Economics, Moscow, Russia
b Ishlinsky Institute for Problems in Mechanics, Russian
Academy of Sciences, Moscow, Russia
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.”.
Поступило: 25.04.2016
Образец цитирования:
V. P. Maslov, “New Approach to Classical Thermodynamics”, Math. Notes, 100:1 (2016), 154–185
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm11333
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