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Спектральная задача о колебаниях вязкоупругого максвелловского слоя
Вестник Ростовского государственного университета путей сообщения. 2011. № 1. С. 165–169.
Задорожный А. И., Новгородова В. С., Kovalenko E. V.
The Maxwell lubricant is widely used as a lubricant in bush bearings. Oscillatory features of the Maxwell viscoelastic layer are studied in the work. It is stated that oscillations have anharmonic character. The comparison of asymptotic solution with the exact one at large and small material viscosity.
Priority areas:
engineering science
Language:
Russian
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
Kuzmina L., Осипов Ю. В., Строительные материалы 2025 № 10 С. 83–87
Models of transport and filtration of small particles in porous media are used in the construction industry when designing foundations and underground structures. A liquid with particles moves through the channels of a porous soil. When particles are transported, some of them are locked in the pores and form a sediment. If the fluid flows ...
Added: February 25, 2026
V. A. Kalyagin, Lysov V. G., Lobachevskii Journal of Mathematics 2025 Vol. 46 No. 11 P. 5602–5610
The spectral problem for multiple orthogonal polynomials (MOPS) can be formulated as a problem of recovering the system of measures of orthogonality from recurrence relations. In this paper, we propose a constructive approximation of the weight functions of orthogonality for multiple orthogonal polynomials using recurrence relations and associated Turan determinants. ...
Added: November 26, 2025
Chernyshov D., Satanin A., Shchur L., / Series arXiv "math". 2025.
We investigate the boundary separating regular and chaotic dynamics in the generalized Chirikov map, an extension of the standard map with phase-shifted secondary kicks. Lyapunov maps were computed across the parameter space (K,K(α, τ)) and used to train a convolutional neural network (ResNet18) for binary classification of dynamical regimes. The model reproduces the known critical ...
Added: November 21, 2025
Glyzin D., Глызин С. Д., Колесов А. Ю., Известия высших учебных заведений. Прикладная нелинейная динамика 2024 Т. 32 № 3 С. 376–393
The purpose of this work is to study a new mathematical model of a ring neural network with unidirectional chemical connections, which is a singularly perturbed system of differential-difference equations with delay.
Methods. A combination of analytical and numerical methods is used to study the existence and stability of special periodic solutions in this system, the ...
Added: December 19, 2024
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
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
Danilov V., Математические заметки 2024 Т. 115 № 2 С. 219–229
We present several methods for constructing the asymptotics of the fundamental solution of Fokker–Planck–Kolmogorov-type parabolic equations with a small parameter both for small and finite positive times. ...
Added: March 21, 2024
R. K. Gaydukov, V. G. Danilov, Computational Mathematics and Mathematical Physics 2024 Vol. 64 No. 6 P. 1317–1325
Mathematical modeling of the ice–water phase transition during liquid flow inside a pipe
with a small ice buildup on the wall at high Reynolds numbers is considered. As a mathematical model
describing the dynamics of the phase transition, a double-deck boundary layer model and a phase field
system are used. Results of numerical simulation are presented. ...
Added: February 17, 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
Л. И. Кузьмина, Осипов Ю. В., Строительные материалы 2023 № 9 С. 89–93
Фильтрация взвешенных твердых частиц в пористом материале моделирует процессы укрепления фундаментов, создания водонепроницаемых стен в горной породе, строительстве и реконструкции дорог, кольматацию (осаждение частиц) в призабойной зоне скважины компонентами бурового раствора при нефтедобыче, работу фильтрующих элементов очистных сооружений и многое другое. Целью настоящей работы явилось исследование фильтрации монодисперсной суспензии высокой концентрации в однородной пористой среде, ...
Added: October 31, 2023
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
Gaydukov R., Danilov V., Fonaryova A., Известия РАН. Механика жидкости и газа 2023 № 5 С. 82–94
В работе исследуется фазовый переход при обтекании жидкостью ледяной поверхности с малой локализованной неровностью при больших числах Рейнольдса. В рамках двухпалубной структуры пограничного слоя, на основе системы фазового поля построена математическая модель, описывающая динамику фазового перехода, и приведены результаты численного моделирования. ...
Added: May 10, 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
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
Borisov D. I., Cardone G., Chechkin G. A. et al., Calculus of Variations and Partial Differential Equations 2021 Vol. 60 Article 48
We consider a boundary value problem for a homogeneous elliptic equation with an inhomogeneous Steklov boundary condition. The problem involves a singular perturbation, which is the Dirichlet condition imposed on a small piece of the boundary. We rewrite such problem to a resolvent equation for a self-adjoint operator in a fractional Sobolev space on the ...
Added: September 20, 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
Людмила Ивановна Кузьмина, ОСИПОВ Ю. В., ЦАРЕВА В. И., Промышленное и гражданское строительство 2020 № 6 С. 64–68
Filtration problem for a suspension in a porous medium characterize the injection of a liquid grout into porous rock to strengthen loose soil or create waterproof partitions during the construction of tunnels and underground structures. The suspension is injected under pressure into an empty homogeneous porous medium and moves from inlet to outlet. Some particles ...
Added: July 2, 2020
V.S. Samovol, Asymptotic Analysis 2019 Vol. 115 P. 223–239
The Riccaty equation with coefficients having power asymptotic in a neighbourhood of infinity is studied. We examine the solutions to these equations and describe their asymptotic form ...
Added: November 24, 2019