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On the spectral gap in the region of negative pressures
Mathematical notes. 2016. Vol. 99. No. 5. P. 711–714.
It is shown that, between the values of the activity a = 1 and a < 1, there is a gap, which can be overcome by using additional energy. This energy is defined on the spinodal a = 1 (μ = 0) on theP–Z diagram and gives, in the parastatistical distribution, an additional term of Bose condensate type, which is also preserved for μ < 0. This term is the right-hand side of the Fermi–Dirac distribution. In this paper, it is also shown how to find the “liquid–amorphous body” binodal.
Язык:
английский
Negodin V., Polyachenko Y., Флейта Д. Ю. и др., Journal of Molecular Liquids 2021 Vol. 322 No. 1-3 Article 114954
Добавлено: 14 мая 2021 г.
In this paper, we introduce the notions of enlarged number theory and of thermodynamically ideal liquid and calculate the temperature below which it appears. This temperature is T = 0.84Tc, where Tc is the critical temperature of a gas whose molecules are nonpolar. For such a gas, in a sufficiently wide neighborhood of the binodal, ...
Добавлено: 22 мая 2017 г.
Маслов В. П., Теоретическая и математическая физика 2015 Т. 182 № 2 С. 365–367
В подкритической области, в отличие от суперкритической, в которой изотермы идеально совпадают с изотермами модели Ван-дер-Ваальса, введено дополнительное условие достижения максимума энтропии Хартли на спинодали.
Для определения параметров распределения и изотерм используется уравнение спинодали. ...
Добавлено: 8 марта 2017 г.
A parallel between physical derivation and mathematical proof in classical thermodynamics is drawn. A relationship between thermodynamics and analytic number theory is demonstrated. ...
Добавлено: 7 декабря 2016 г.
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 ...
Добавлено: 10 октября 2016 г.
Маслов В. П., Mathematical notes 2015 Vol. 97 No. 5-6 P. 909–918
We obtain a distribution of Fermi-Dirac type for a hard liquid at temperatures less than the Frenkel temperature TF for P ≥ 0 and Z ≥ 0. For the van der Waals model, one has TF = (33/25)Tc. © 2015, Pleiades Publishing, Ltd. ...
Добавлено: 7 сентября 2015 г.
Добавлено: 8 марта 2015 г.
Добавлено: 23 декабря 2013 г.
Маслов В. П., Mathematical notes 2013 Vol. 94 No. 4 P. 532–546
It is well known that the supercritical state of a gas has great dissolving capacity. In this paper, the mathematical reason for this phenomenon is studied in great detail. ...
Добавлено: 18 ноября 2013 г.
The boundary of a volume as a trap ensuring the phase transition in an ideal gas at low temperatures
It is shown that reflection from the boundary of a volume containing a gas plays a significant role in the occurrence of the second phase, and the corresponding correction (related to this effect) to the results obtained by the author in previous papers dealing with the theory of the new ideal gas is given. ...
Добавлено: 12 февраля 2013 г.
Маслов В. П., Mathematical notes 2012 Vol. 92 No. 3 P. 402–411
Отрицательное давление можно трактовать как отрицательную энергию и, следовательно, как «дыры», античастицы. Переход через бесконечность в область отрицательных энергий выполняется введением парастатистической поправки к распределению Бозе-Эйнштейна. ...
Добавлено: 17 января 2013 г.