|
Matematicheskie Zametki, 2016, Volume 99, Issue 5, paper published in the English version journal
(Mi mzm11229)
|
|
|
|
This article is cited in 4 scientific papers (total in 4 papers)
Papers published in the English version of the journal
On the Spectral Gap in the Region of Negative Pressures
V. P. Maslovab, A. V. Maslovc a Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
b National Research University Higher School of Economics, Moscow, Russia
c Maslovs Web Solutions, Bristol, UK
Abstract:
It is shown that, between the values of the activity $a=\nobreak 1$ and $a <\nobreak 1$, there is a gap, which can be overcome by using additional energy. This energy is defined on the spinodal $a=1$ ($\mu=0$) on the $P$–$Z$ diagram and gives, in the parastatistical distribution, an additional term of Bose condensate type, which is also preserved for $\mu <0$. 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.
Keywords:
Gentile correction, spectral gap, triple point, spinodal, binodal, Temperley temperature.
Received: 12.02.2016
Citation:
V. P. Maslov, A. V. Maslov, “On the Spectral Gap in the Region of Negative Pressures”, Math. Notes, 99:5 (2016), 711–714
Linking options:
https://www.mathnet.ru/eng/mzm11229
|
|