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Марковский процесс с непрерывным временем для описания механического взаимодействия шероховатых поверхностей
Вестник Московского энергетического института. 2011. № 6. С. 112–125.
Горицкий Ю. А., Тигетов Д. Г.
In this paper the model of mechanical interaction of rough surfaces is constructed as Markov's process with continuous time is under construction. The basis is the discrete model which is taking into account elastic and plastic deformations and fatigue failure at action of constant loading. The system of Kolmogorov-Feller's integral-differential equations concerning distributions of heights of ledges changing in time is written out. The settlement example of evolution of distributions is resulted.
Priority areas:
engineering science
Language:
Russian
Keywords: Марковский процессMarkovian processRough surfacesmechanical interactionelastic and plastic deformationsfatique breakdownKolmogorov-Feller equationsheight distributionevolution of distributionslimit distributionшероховатые поверхностимеханическое взаимодействиеупругие и пластические деформацииусталостное разрушениеуравнения Колмогорова-Феллерараспределение высотэволюция распределенийпредельное распределение
Sorokin D., Kostin A., Savchenko L. et al., Knowledge-Based Systems 2026 Vol. 348 Article 116258
A convenient approach to optimally solving combinatorial optimization tasks is the Branch-and-Bound method.
Its branching heuristic can be learned to solve a large set of similar tasks. The promising results here are
achieved by the recently appeared on-policy reinforcement learning method based on the tree Markov Decision
Process. To overcome its main disadvantages, namely, very large training time ...
Added: June 10, 2026
Гущина В. А., / Series chemrxiv-2023-vpzhz-v2 "ChemRxiv". 2023.
All-inorganic perovskite CsPbBr3 and Cs4PbBr6 nanoparticles are being intensively studied due to their unique properties and wide range of applications; however, however, the nature of their optical properties is not yet fully understood due to the difficulty of synthesis of singlephase nanoparticles. In this article we describe the features of the synthesis of single-phase particles ...
Added: May 14, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Kagan M., Silkin V. M., Efremov D. V., / Series arXiv "math". 2024. No. 2411.12836.
In this study, we analyze the dielectric function of high-Tc cuprates as a function of doping level, taking into account the full energy band dispersion within the CuO2 monolayer. In addition to the conventional two-dimensional (2D) gapless plasmon mode, our findings reveal the existence of three anomalous branches within the plasmon spectrum. Two of these branches ...
Added: November 27, 2024
Influence of anisotropy on the study of critical behavior of spin models by machine learning methods
Sukhoverkhova D., Shchur L., / Series arXiv "math". 2024. No. 2410.14523.
In this paper, we applied a deep neural network to study the issue of knowledge transferability between statistical mechanics models. The following computer experiment was conducted. A convolutional neural network was trained to solve the problem of binary classification of snapshots of the Ising model's spin configuration on a two-dimensional lattice. During testing, snapshots of ...
Added: October 21, 2024
Anatoly Manita, Larisa Manita, , in: Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. Abstracts.: -, 2024. P. 21–23.
We propose a stochastic variation of the famous DeGroot model which is a basic Repeated Linear Updating Model. We study the limit distribution L∞ of the corresponding multidimensional stochastic process. We show that under some assumption the limit distribution exists. We calculate basic characteristics of the law L∞ and get some asymptotical results . Besides analytical results, ...
Added: June 24, 2024
Mozolenko V., Fadeeva Marina, Shchur L., / Series arXiv "math". 2024. No. 2405.10865.
The development of new algorithms for simulations in physics is as important as the development of new analytical methods. In this paper we present a comparison of the recently developed microcanonical population annealing (MCPA) algorithm with the rather mature Wang-Landau algorithm. The comparison is performed on two cases of the Potts model exhibiting a first ...
Added: May 20, 2024
Kagan M., Аксёнов С. В., / Series Research Square "Research Suqare". 2024. No. 1.
We study different resonances (first of all of the Fano type) in the interference device formed by the Aharonov-Bohm ring with superconducting (SC) wire in the topologically nontrivial state playing a role of a bridge between top and bottom arms. We analyze Majorana modes on the ends of the SC wire and show that the collapse of the ...
Added: April 10, 2024
Ребров Я. В., Glazkov V., Murtazoev A. F. et al., / Series cond-mat "arxiv.org". 2023.
Nabokoite family compounds ACu7(TeO4)(SO4)5Cl (A=Na, K, Cs, Rb) are one of the candidates for the evasive spin-liquid state predicted for highly-frustrated square kagome lattice (SKL). Their magnetic subsystem includes SKL layers decorated by additional copper ions. All members of this family are characterized by quite high Curie-Weiss temperatures (∼80−200 K), but magnetic ordering was reported ...
Added: January 29, 2024
Shurakov A., Kaurova N., Belikov I. et al., / Series Physics "arxiv.org". 2022.
In this paper, we report on the method of nondestructive quality control that can be used in fabrication of GaAs high-speed electronics. The method relies on the surface potential mapping and enables rigid in vivo analysis of transport properties of an active electronic device incorporated into a complex integrated circuit. The study is inspired by ...
Added: September 15, 2023
Ivchenko G., Kashtanov V., Коваленко И. Н., М.: Издательская группа URSS, 2022.
В настоящем пособии излагаются элементы основных направлений ТМО. Представлена общая характеристика СМО; выделены такие разделы теории, как асимптотичесике методы, приоритетеные системы, статистика СМО и моделирование СМО. Второе издание книги включает дополнение, посвященное описанию полумарковских процессов. Глава, посвященная марковским моделям массового обслуживания, дополнена параграфом, в еотором рассматривается система с повторными вызовами. ...
Added: January 4, 2023
Pugach N., Safonchik M. O., Belotelov V. et al., / Series "cond-mat". 2022. No. 2110.00369.
A detailed investigation of a superconducting spin-triplet valve is presented. This spin-valve consists of a superconducting film covering a metal with an intrinsic spiral magnetic order, which could result from competing isotropic exchanges or, if the crystal lattice breaks central symmetry, from asymmetric Dzyaloshinskii-Moriya exchange. Depending on the anisotropy, such a metal may change its ...
Added: November 16, 2022
Novikov S. V., / Series cond-mat "arxiv.org". 2022. No. 2209.14955.
Charge transport in amorphous semiconductors having spatially correlated exponential density of states (DOS) has been considered for the arbitrary behavior of the correlation function of random energies. Average carrier velocity is exactly calculated for the quasi-equilibrium (nondispersive) transport regime. For the symmetric exponential DOS with exponential tails for low and high energies and non-positive correlation ...
Added: November 1, 2022
Parfenyev V., Belan S., Lebedev V., Journal of Fluid Mechanics 2019 Vol. 862 P. 1084–1104
Stochastic roughness is a widespread feature of natural surfaces and is an inherent byproduct of most fabrication techniques. In view of the rapid development of microfluidics, the important question is how this inevitable problem affects the low-Reynolds-number flows that are common for micro-devices. Moreover, one could potentially turn the flaw into a virtue and control ...
Added: October 22, 2022
Ikhsanov R., Mazur E., Kagan M., / Series "Working papers by Cornell University". 2022. No. 2202.01452.
At present, the task of searching for compounds with a high superconducting transition temperature is a very relevant scientific direction. Usually, the calculation of is carried out by numerically solving the system of Eliashberg equations. In this paper, a set of programs for solving this system written in various forms on the imaginary axis is ...
Added: February 4, 2022
Lubashevsky I., Friedrich R., Heuer A. et al., Physica A: Statistical Mechanics and its Applications 2009 Vol. 388 No. 21 P. 4535–4550
The paper is devoted to the construction of the superstatistical description for nonequilibrium Markovian systems. It is based on Kirchhoff’s diagram technique and the assumption on the system under consideration to possess a wide variety of cycles with vanishing probability fluxes. The latter feature enables us to introduce equivalence classes called channels within which detailed ...
Added: November 6, 2021
Budkov Y., Zavarzin S., Kolesnikov A. L., Journal of Physical Chemistry C 2021 Vol. 125 No. 38 P. 21151–21159
We formulate a general mean-field theory for a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new analytical expression for electric double-layer differential capacitance, determining it as an absolute value of the ratio of the local ...
Added: September 16, 2021
Sanina N., Isaeva U., Utenyshev A. et al., Inorganica Chimica Acta 2021 Vol. 527 Article 120559
A new inhibitor of phosphodiesterase (PDE), i.e., nitric oxide (NO) donor, a water soluble DNIC Na[Fe(C7H5N4S)2(NO)2]⋅2.5H2O (1), has been synthesized. The structure of the new complex, its physical-chemical properties in the solid state and in solutions have been studied experimentally (X-ray analysis, IR, UV-Vis, Mossbauer spectroscopy, mass-spectrometry, and amperometry) and theoretically (quantum-chemical modeling by DFT ...
Added: September 16, 2021
Piatnitski A., Pirogov S. A., Zhizhina E., Applicable Analysis 2019 Vol. 98 No. 1-2 P. 217–231
The goal of the paper is to describe the large time behaviour of a symmetric diffusion in a high-contrast periodic environment and to characterize the limit process under the diffusive scaling. We consider separately the C_0 and L^2 settings. ...
Added: December 5, 2020
Pechersky E. A., Pirogov S. A., Schütz G. M. et al., Theoretical and Mathematical Physics 2019 Vol. 198 No. 1 P. 118–128
We consider a system of N identical independent Markov processes, each taking values 0 or 1. The system describes the stochastic dynamics of an ensemble of two-level atoms. The atoms are exposed to a photon flux. Under the photon flux action, each atom changes its state with some rates either from its ground state (state 0) to the excited ...
Added: December 5, 2020
Pechersky E., Pirogov S. A., Schütz G. M. et al., Moscow Mathematical Journal 2019 Vol. 19 No. 1 P. 107–120
We study a class of random processes on N particles which can be interpreted as stochastic model of luminescence. Each particle can stay in one of two states: Excited state or ground state. Any particle at ground state is excited with a constant rate (pumping). The number of excited particles decreases by means of photon emission through ...
Added: December 5, 2020
Mishakin V., Gonchar A., Kirikov S. et al., Nondestructive Testing and Evaluation 2020
The influence of plastic deformation of low-carbon steel on birefringence of the shear waves birefringence is examined. Acoustic measurements show that the birefringence changes monotonously, while the intensity of the change decreases with increasing strain. Significant reduction of the birefringence is found to indicate that the capability to plastic deformation has been largely used. In ...
Added: March 2, 2020
Veretennikov A., Veretennikova M., / Series "Working papers by Cornell University". 2019.
New convergence rate asymptotic bound for a class of homogeneous Markov chains is established. ...
Added: November 14, 2019
Parfenyev V., Belan S., Lebedev V., Journal of Fluid Mechanics 2019 Vol. 862 P. 1084–1104
Stochastic roughness is a widespread feature of natural surfaces and is an inherent byproduct of most fabrication techniques. In view of the rapid development of microfluidics, the important question is how this inevitable problem affects the low-Reynolds-number flows that are common for micro-devices. Moreover, one could potentially turn the flaw into a virtue and control ...
Added: January 22, 2019