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Probability distribution for a hard liquid
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..
49606783, Mathematical notes 2015 Vol. 98 No. 1-2 P. 138-157
The notion of ideal liquid for the number of degrees of freedom less than 2, i.e., γ < 0, is introduced. The values of the pressure P and of the compressibility factor Z on the spinodal in the negative pressure region for the van der Waals equation determine the value of γ, γ(T) < 0, ...
Added: October 7, 2015
49606783, Russian Journal of Mathematical Physics 2019 Vol. 26 No. 1 P. 50-54
In this paper, a physical and mathematical interpretation of the passage from the
Bose distribution to the Fermi distribution of nuclear matter is presented. We consider the
notion of "coat" and introduce the notion of "lacunary indeterminacy", which is a region
that contains a neighborhood of the activity a = 0 and is the boundary between the Bose
particle ...
Added: August 24, 2019
Maslov V., Теоретическая и математическая физика 2014 Т. 180 № 3 С. 394-432
We consider a parastatistics that does not distinguish objectively different objects but describes clusters in the supercritical state and determines the relation between the mesoscopic physics of clusters and the macroscopic thermodynamics of supercritical isotherms. We construct the supercritical picture of isochores and isotherms under the condition that the Boyle temperature, the Boyle density, and ...
Added: October 26, 2014
49606783, Mathematical notes 2013 Vol. 94 No. 5 P. 722-813
In the present paper, we describe an approach to thermodynamics that does not involve Bogolyubov chains or Gibbs ensembles. We present isotherms, isochores, and isobars of various pure gases, as well as binodals, i.e., lines along which gas becomes liquid, and spinodals (endpoints of isotherms). We study supercritical phenomena for values of temperature and pressure ...
Added: December 23, 2013
Maslov V., Теоретическая и математическая физика 2015 Т. 182 № 2 С. 365-367
In contrast to the supercritical region where the isotherms ideally coincide with the isotherms of the van
der Waals model, we introduce an additional condition for the Hartley entropy to attain maximum on the
spinodal in the subcritical region. To determine the parameters of the distribution and isotherms, we use
spinodal equation. ...
Added: March 8, 2017
49606783, Mathematical notes 2014 Vol. 96 No. 3 P. 403-415
In this paper, we refine some of the original notions, such as the number of degrees of freedom, for an arbitrary temperature
and an ideal Boltzmann--Maxwell gas. Using the van der Waals model, we illustrate the notion of Frenkel temperature,
which separates soft and rigid liquid. ...
Added: December 21, 2014
49606783, Russian Journal of Mathematical Physics 2015 Vol. 22 No. 1 P. 53-67
We provide a detailed explanation of the physical meaning of some concepts used in the new statistics corresponding to thermodynamics, including the notions of locally ideal gas, number of collective degrees of freedom, and jamming factor. The equation of state is treated as a surface in three-dimensional space, and the spinodal is viewed as an ...
Added: March 8, 2015
Maslov V., Mathematical notes 2012 Vol. 92 No. 3 P. 402-411
Negative pressure also means negative energy and, therefore, “holes”, antiparticles. Continuation across infinity to negative energies is accomplished by using a parastatistical correction to the Bose-Einstein distribution. ...
Added: January 17, 2013
49606783, Mathematical notes 2014 Vol. 96 No. 5 P. 732-738
For UD-statistics, we present formulas that are in agreement with the value of the second virial coefficient as $\rho\to 0$
at the initial point of the activity a\to 0 and with the temperature on the critical isochore rho=\rho_c at the final point.
This leads to two invariants: (1) the number of collective degrees of freedom and 2) ...
Added: December 24, 2014
Ilyashenko Y., Яковенко С. Ю., М. : МЦНМО, 2013
Предлагаемая книга—первый том двухтомной монографии, посвящённой аналитической теории дифференциальных уравнений.
В первой части этого тома излагается формальная и аналитическая теория нормальных форм и теорема о разрешении особенностей для векторных полей на плоскости.
Вторая часть посвящена алгебраически разрешимым локальным задачам теории аналитических дифференциальных уравнений , квадратичным векторным полям и проблеме локальной классификации ростков векторных полей в комплексной области ...
Added: February 5, 2014
Kalyagin V.A., Koldanov A.P., Koldanov P.A. et al., Physica A: Statistical Mechanics and its Applications 2014 Vol. 413 No. 1 P. 59-70
A general approach to measure statistical uncertainty of different filtration techniques for market network analysis is proposed. Two measures of statistical uncertainty are introduced and discussed. One is based on conditional risk for multiple decision statistical procedures and another one is based on average fraction of errors. It is shown that for some important cases ...
Added: July 19, 2014
Maslov V., Теоретическая и математическая физика 2019 Т. 201 № 1 С. 65-83
We study the process of a nucleon separating from an atomic nucleus from the mathematical standpoint
using experimental values of the binding energy for the nucleus of the given substance. A nucleon becomes
a boson at the instant of separating from a fermionic nucleus. We study the further transformations of
boson and fermion states of separation in a ...
Added: November 1, 2019
Losev A. S., Slizovskiy S., JETP Letters 2010 Vol. 91 P. 620-624
Added: February 27, 2013
191574970, Functional Analysis and Its Applications 2006 Vol. 40 No. 2 P. 81-90
It is well known that every module M over the algebra ℒ(X) of operators on a finite-dimensional space X can be represented as the tensor product of X by some vector space E, M ≅ = E ⊗ X. We generalize this assertion to the case of topological modules by proving that if X is a stereotype space with the stereotype approximation property, then for each stereotype module M over the ...
Added: September 23, 2016
Pahomov F., Известия РАН. Серия математическая 2016 Т. 80 № 6 С. 173-216
Полимодальная логика доказуемости
GLP была введена Г. К. Джапаридзе в 1986 г. Она является логикой доказуемости для ряда цепочек предикатов доказуемости возрастающей силы. Всякой полимодальной логике соответствует многообразие полимодальных алгебр. Л. Д. Беклемишевым и А. Виссером был поставлен вопрос о разрешимости элементарной теории свободной GLP-алгебры, порожденной константами 0, 1 [1]. В этой статье для любого натурального n решается аналогичный вопрос для логик GLPn, являющихся ...
Added: December 4, 2017
Sinelshchikov D., Кудряшов Н. А., Theoretical and Mathematical Physics 2018 Vol. 196 No. 2 P. 1230-1240
We study a family of nonautonomous generalized Liénard-type equations. We consider the equivalence problem via the generalized Sundman transformations between this family of equations and type-I Painlevé–Gambier equations. As a result, we find four criteria of equivalence, which give four integrable families of Liénard-type equations. We demonstrate that these criteria can be used to construct ...
Added: February 9, 2019
ООО Фирма "Элист", 2014
В книге представлены тезисы докладов I тура XV Всероссийской научно-технической конференции и школы молодых ученых, аспирантов и студентов. ...
Added: October 17, 2014
Vyalyi M., Дискретная математика 1991 Т. 3 № 3 С. 35-45
Added: October 17, 2014
Levashov M., Кухаренко А. В., Вопросы защиты информации 2018 № 2 С. 66-71
Рассматривается статистическая модель одного этапа системы фрод-мониторинга транзакций в интернет-банкинге. Построен и рассчитан близкий к отношению правдоподобия критерий отсева мошеннических транзакций. Для выборочных распределений, полученных на выборке объема в 1 млн реальных транзакций, вычислены параметры эффективности этого критерия. ...
Added: June 14, 2018
Zinder Y., Lazarev A. A., Musatova E. G., Автоматика и телемеханика 2020 Т. 5 С. 91-104
Представлен полиномиальный алгоритм корректировки расписания движения поездов для случая, когда один из путей двухпутной железной дороги становится недоступным, оставшийся путь содержит разъезд, а все поезда делятся на две категории: приоритетные поезда, например пассажирские, и обычные поезда, к которым относятся большинство грузовых поездов. Представленный алгоритм минимизирует негативное влияние, оказываемое блокировкой пути, сначала для приоритетных поездов, а ...
Added: September 2, 2020
Kolokolov I., Lebedev V., Sizov G. A., Journal of Experimental and Theoretical Physics 2011 Vol. 140 No. 2 P. 387-400
We analyze magnetic kinematic dynamo in a conducting fluid where the stationary shear flow is accompanied by relatively weak random velocity fluctuations. The diffusionless and diffusion regimes are described. The growth rates of the magnetic field moments are related to the statistical characteristics of the flow describing divergence of the Lagrangian trajectories. The magnetic field ...
Added: February 2, 2017
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...
Added: November 16, 2020
Nazirov R., / ИКИ АН СССР. Серия 0 "Препринт ИКИ АН СССР". 1984. № Пр-875.
Added: April 1, 2013