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Two First Principles of Earth Surface Thermodynamics. Mesoscopy, Energy Accumulation, and the Branch Point in Boson–Fermion Transition*
Mathematical notes. 2017. Vol. 102. No. 6. P. 824-835.
The author constructs his thermodynamics on the following two “first principles”: the
partition theory of integers and the notion of Earth gravity. On the basis of number theory,
equivalence classes in mesoscopy and soft condensates in the partition theory of integers are
considered. The self-consistent equation obtained by the author on the basis of Gentile statistics
is used to describe the effect of energy accumulation at the moment of transition of the boson branch
of the partition of a number to the fermion branch. The branch point in the transition from bosons to
fermions is interpreted as an analog of a jump of the spin.
Priority areas:
mathematics
Language:
English
Koltsov S., Physica A: Statistical Mechanics and its Applications 2018 Vol. 512 P. 1192-1204
This study proposes to minimize Rényi and Tsallis entropies for finding the optimal number of topics T in topic modeling (TM). A promising tool to obtain knowledge about large text collections, TM is a method whose properties are underresearched; in particular, parameter optimization in such models has been hindered by the use of monotonous quality ...
Added: October 11, 2018
Balashov V., Zlotnik Alexander, Savenkov E., Russian Journal on Numerical Analysis and Mathematical Modelling 2017 Vol. 32 No. 6 P. 347-358
A study of a regularized quasi-hydrodynamic system of equations for the two-component isothermal mixture with the diffuse interface is accomplished. Under general assumptions on the Helmholtz free energy of the mixture, the energy balance equation with non-positive energy production and its corollary, the law of non-increasing total energy, are derived. The necessary and sufficient conditions ...
Added: February 26, 2017
Maslov V., Теоретическая и математическая физика 2018 Т. 196 № 1 С. 161-166
Since the deep paper by Bohr and Kalckar in 1938, it has been known that the Ramanujan formula in
number theory is related to statistical physics and nuclear theory. From the early 1970s, there have been
attempts to generalize number theory from the space of integers to the space of rational numbers, i.e., to
construct a so-called analytic ...
Added: October 30, 2018
49606783, Mathematical notes 2017 Vol. 102 No. 4 P. 583-586
Added: November 17, 2018
Rulkov N., Hunt A. M., Rulkov P. et al., American Journal of Engineering and Applied Sciences 2016 Vol. 9 No. 4 P. 973-984
The discreet-time (map-based) approach to modeling nonlinear dynamics of spiking and spiking-bursting activity of neurons has demonstrated its very high efficiency in simulations of neuro-biologically realistic behavior both in large-scale network models for brain activity studies and in real-time operation of Central Pattern Generator network models for biomimetic robotics. This paper studies the next step ...
Added: January 15, 2017
Саратов : Издательство Саратовского университета, 2009
Сборник содержит статьи сотрудников механико-математического факультета Саратовского государственного университета. Представлены исследования по алгебре, геометрии, дискретной математике, информатике, математическому анализу, спектральной теории операторов, теории приближений, математической экономике , биомеханике, механике деформируемого твёрдого тела, оптимальному управлению движением космического аппарата, механике жидкости и газа и их приложениям.
Для научных работников, аспирантов и специалистов в области математики и механики. ...
Added: March 19, 2013
Пенза : ПГУ, 2016
В сборник трудов включены доклады ХХI-го Международного симпозиума «Надежность и качество», проходившего с 23 по 29 мая 2016 г. в городе Пензе.
Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и средств ...
Added: May 27, 2016
Ducomet B., Zlotnik A., Zlotnik I. A., / Cornell University. Series math "arxiv.org". 2013. No. arxiv: 1303.3471.
We consider an initial-boundary value problem for a generalized 2D time-dependent Schrödinger equation on a semi-infinite strip. For the Crank-Nicolson finite-difference scheme with approximate or discrete transparent boundary conditions (TBCs), the Strang-type splitting with respect to the potential is applied. For the resulting method, the uniform in time L2-stability is proved. Due to the ...
Added: March 16, 2013
М. : МИЭМ НИУ ВШЭ, 2013
The materials of The Second International Scientific – Practical Conference is presented below. The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
Digest of Conference materials is presented in 4 parts. It is interesting for a wide range of researchers, teachers, graduate ...
Added: April 18, 2013
49606783, Russian Journal of Mathematical Physics 2018 Vol. 25 No. 1 P. 59-66
In previous papers of the author it was shown that, depending on the hidden parameter, purely quantum problems behave like classical ones. In the present paper, it is shown that the Bose{Einstein and the Fermi{Dirac distributions, which until now were regarded as dealing with quantum particles, describe, for the appropriate values of the hidden
parameter, the ...
Added: December 9, 2018
М. : Физический факультет МГУ им. М.В. Ломоносова, 2014
Сборник тезисов докладов Международного научного семинара Актуальные проблемы математической физики. МГу им. М.В. Ломоносова, 28-29 ноября 2014 г. ...
Added: November 28, 2014
М. : Институт прикладной математики им. М.В. Келдыша РАН, 2018
Содержит материалы, представленные к рассмотрению на научно-практический семинар “Новые информационные технологии в автоматизированных системах”, проводившейся в Москве 20 апреля 2018 г.
Представляет интерес для научных сотрудников, преподавателей, аспирантов и студентов, работающих по указанным научным направлениям. ...
Added: April 20, 2018
Madera A. G., Компьютерные исследования и моделирование 2019 Т. 11 № 4 С. 613-630
A hierarchical method of mathematical and computer modeling of interval-stochastic thermal processes in complex electronic systems for various purposes is developed. The developed concept of hierarchical structuring reflects both the constructive hierarchy of a complex electronic system and the hierarchy of mathematical models of heat exchange processes. Thermal processes that take into account various physical ...
Added: November 1, 2019
Каз. : СМУиС, 2013
Вторая Всероссийская молодежная научная Интернет-конференция «Грани науки» проводится Казанским (Приволжским) федеральным университетом, Советом молодых ученых и специалистов города Казани (http://kznscience.ru) и Комитетом по делам детей и молодежи Исполкома Казани. ...
Added: July 7, 2016
Зайцев В. И., Щавелин В. М., М. : ВИНИТИ РАН, 1985
Added: November 30, 2020
Пенза : ПГУ, 2015
В сборник трудов включены доклады юбилейного ХХ-го Международного симпозиума «Надежность и качество», проходившего с 25 по 31 мая 2015 г. в городе Пензе.
Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и ...
Added: May 31, 2015
Laskin M., Rusakov O., AIP Conference Proceedings 2017 Vol. 1836
We consider a stochastic model of changes of prices in real estate markets. We suppose that in a book of prices the changes happen in points of jumps of a Poisson process with a random intensity, i.e. moments of changes sequently follow to a random process of the Cox process type. We calculate cumulative mathematical ...
Added: February 5, 2019
Долгопрудный : МФТИ, 2016
Сборник предназначен для широкого круга специалистов, занимаю- щихся проблемами управления и обработки информации, математическо- го и компьютерного моделирования.
Отражены результаты научных исследований, ведущихся в Москов- ском физико-техническом институте (государственном университете) в области вычислительной математики, математической кибернетики, ком- пьютерных и информационных технологий. ...
Added: October 20, 2018
49606783, Russian Journal of Mathematical Physics 2019 Vol. 26 No. 2 P. 168-173
The parameters of unstable short-living isotopes are studied from
the mathematical point of view. The values of the chemical potential
and activity parameters that determine the neutron halo arising when
the neutron separates from the nucleus of an unstable isotope are
calculated. The analogy between nuclear physics and economics is
considered from the point of view of such parameters as ...
Added: August 25, 2019
Tamm M., Majumdar S., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2012 Vol. 86 P. 021135
We compute analytically the mean number of common sites, WN(t), visited by N independent random walkers each of length t and all starting at the origin at t=0 in d dimensions. We show that in the (N−d) plane, there are three distinct regimes for the asymptotic large-t growth of WN(t). These three regimes are separated by two critical lines d=2 and d=dc(N)=2N/(N−1) in the (N-d) plane. For d<2, WN(t)∼td/2 for large t (the N dependence is ...
Added: November 18, 2013
Seul : World Scientific and Engineering Academy and Society, 2015
This year the 12th International Conference on E-Activities (E-ACTIVITIES '15) and the 4th International Conference on Applied and Computational Mathematics (ICACM '15) were held in Seoul, South Korea, September 5-7, 2015. The conferences provided a platform to discuss elearning, e-management, e-marketing, numerical analysis and applications, probabilities, statistics, operational research, algorithms, discrete mathematics, systems, communications, control ...
Added: October 13, 2015
M. : Association of graduates and employees of AFEA named after prof. Zhukovsky, 2018
The materials of The International Scientific – Practical Conference is presented below.
The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
It is interesting for a wide range of researchers, teachers, graduate students and professionals in the field of innovation and information technologies. ...
Added: May 24, 2018
Zlotnik Alexander, Zlotnik Ilya, Computational Methods in Applied Mathematics 2015 Vol. 15 No. 2 P. 233-245
We consider the Cauchy problem for the 1D generalized Schrὅdinger equation on the whole axis. To solve it, any order finite element in space and the Crank-Nicolson in time method with the discrete transpa\-rent boundary conditions (TBCs) has recently been constructed. Now we engage the global Richardson extrapolation in time to derive the high order ...
Added: March 3, 2015
Издательство Казанского (Приволжского) федерального университета, 2016
Полные тексты докладов XI Всероссийского съезда по фундаментальным проблемам теоретической и прикладной механики опубликованы в электронном виде на диске и сайте съезда. ...
Added: December 11, 2016