Thermodynamics and Economics: Overview

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.

UD-статистика в подкритической области

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.

Large Negative Numbers in Number Theory, Thermodynamics, Information Theory, and Human Thermodynamics

, Russian Journal of Mathematical Physics 2016 Vol. 23 No. 4 P. 509–524

Добавлено: 25 февраля 2017 г.

Modern thermodynamics as a branch of mathematics (mathematical physics)

, Mathematical notes 2016 Vol. 100 No. 3 P. 413–420

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.

On the spectral gap in the region of negative pressures

, Maslov A. V., 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 ...

Добавлено: 21 сентября 2016 г.

Probability distribution for a hard liquid

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.

Statistics Corresponding to Classical Thermodynamics. Construction of Isotherms

, Russian Journal of Mathematical Physics 2015 Vol. 22 No. 1 P. 53–67

Добавлено: 8 марта 2015 г.

Calculation of the number of collective degrees of freedom and of the admissible cluster size for isotherms in the Van-der-Waals model in supercritical states

, Russian Journal of Mathematical Physics 2014 Vol. 21 No. 4 P. 494–503

Добавлено: 30 ноября 2014 г.

Boyle Tempertaure as a Point of Ideal Gas in Gentile Statistics and Its Economic Interpretation

, Maslova T. V., Russian Journal of Mathematical Physics 2014 Vol. 21 No. 3 P. 373–378

Добавлено: 30 ноября 2014 г.

Reference Module in Earth Systems and Environmental Sciences

Oxford: Elsevier, 2014.

This Reference Module contains trusted, peer-reviewed, comprehensive content from our reference works as curated by our world-class editorial board led by Editor-in-Chief, Scott A. Elias. It is designed for faster, more relevant browsing within the subject and beyond, with topic pages for quick, clear overviews, subject hierarchies to put everything in context, and guidance to ...

Добавлено: 26 марта 2014 г.

Undistinguishing Statistics of Objectively Distinguishable Objects: Thermodynamics and Superfluidity of Classical Gas

, Mathematical notes 2013 Vol. 94 No. 5 P. 722–813

Добавлено: 23 декабря 2013 г.