Models for the Average of the Solutions to a P.D.E. with Stochastic Coefficients
European Journal of Scientific Research. 2010. Vol. 45. No. 3. P. 383-390.
Logvinova K. V., Kozyrev O.
In this study we investigate the successive approximation procedure allowed us to derive new equation, valid for the transport of dissolved matter in porous media, or in random force fields, on the macroscopic scale. To do this the diagram technique was exploited.
Priority areas: mathematics engineering science
, , European Journal of Scientific Research 2010 Vol. 45 No. 1 P. 64-78
In this study we investigate impurity dynamics in media with random characteristics for different physical assumptions. We first discuss possible models for diffusion in porous media on the small scale. Then we describe some random processes, which are able to represent the disorder in such a medium. After that, we recall the definition of a ...
Added: January 14, 2013
, Physical Review B: Condensed Matter and Materials Physics 2019 Vol. 100 P. 034703-1-034703-13
We study theoretically the nonequilibrium exciton transport in monolayer transition metal dichalcogenides. We consider the situation where excitons interact with nonequilibrium phonons, e.g., under the conditions of localized excitation where a “hot spot” is formed. We develop the theory of the exciton drag by the phonons and analyze in detail the regimes of diffusive propagation ...
Added: January 13, 2021
, Physical Review Letters 2020 Vol. 124 P. 166802
We study theoretically weak localization of excitons in atomically thin transition metal dichalcogenides. The constructive interference of excitonic de Broglie waves on the trajectories forming closed loops results in a decrease of the exciton diffusion coefficient. We calculate the interference contribution to the diffusion coefficient for the experimentally relevant situation of exciton scattering by acoustic ...
Added: January 13, 2021
Diffusion of a particle in the Gaussian random-energy landscape: Einstein relation and analytical properties of average velocity and diffusivity as functions of driving force
, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2018 Vol. 98 No. 1 P. 012128-1- 012128-8
We demonstrate that the Einstein relation for the diffusion of a particle in the random-energy landscape with the Gaussian density of states is an exclusive one-dimensional property and does not hold in higher dimensions. We also consider the analytical properties of the particle velocity and diffusivity for the limit of weak driving force and establish a connection between ...
Added: July 23, 2018
Моделирование процессов теплопроводности и диффузии в технологиях получения и обработки материалов с использованием интенсивных источников энергии
, Перспективные материалы 2011 № 5 С. 5-11
A semiphenomenological model of the transport processes under the action of power energy sources is proposed. To explain the observed deviations of the linear system response to an external perturbation in the transport processes induced by intense energy fluxes, it is proposed to take into account the effect of inertia of the medium. The semiphenomenological ...
Added: April 12, 2012
, , et al., Chemical Engineering Journal 2014 Vol. 258 P. 374-385
Asymptotic solution for non-linear stage of suspension-colloidal flow in porous media is developed. The expansion is performed behind the concentration front; the zero order approximation coincides with the short-time solution of the linearised system. Using the first order approximation allows significantly enhancing the validity time period for the analytical model if compared with the linearised ...
Added: August 3, 2014
Моделирование динамики пленок поверхностно-активных веществ в поле линейных бегущих краевых волн на шельфе моря
, , , Вестник Московского государственного областного университета. Серия: Естественные науки 2011 № 2 С. 109-121
In this paper the numerical simulation of surfactant dynamics in the topographically trapped long waves over a cylindrical shelf is described. Numerical modeling is based on the balance equation of the surface concentration. The dynamics of impurities was considered in the advection - diffusion - relaxation model. The comparison of different models of the shelf: ...
Added: November 22, 2012
Электронный бизнес. Управление интернет-проектами. Инновации: Сборник трудов участников VI Студенческой научно-практической конференции, Москва, 11-13 марта 2014 г.
М. : НИУ ВШЭ, 2014
Сборник трудов участников Студенческой научно-практической конференции 11-13 марта 2014 г. факультета бизнес-информатики НИУ ВШЭ. ...
Added: September 28, 2014
, , Physical Review B: Condensed Matter and Materials Physics 2013 Vol. 88 No. 5 P. 054505-1-054505-10
We investigate the effect of interacting quantum phase slips on persistent current and its fluctuations in ultrathin superconducting nanowires and nanorings pierced by the external magnetic flux. We derive the effective action for these systems and map the original problem onto an effective sine-Gordon theory on torus. We evaluate both the flux dependent persistent current ...
Added: February 9, 2015
, , Вакуумная техника и технология 2007 Т. 17 № 1 С. 3-6
The method of the multichamber vacuum systems mathematical models forming on basis of the element-node structures method is considered in this paper. Offered method allows to simulate vacuum pumping under free vacuum system structure variations. ...
Added: September 4, 2012
, , Journal of Nuclear Materials 2023 Vol. 573 Article 154123
The influence of helium pressure on the mechanisms of diffusion of the He-filled nanobubbles in fcc Al is investigated by the classical molecular dynamics. It is shown that at pressures <20 kbar gas suppresses self-diffusion, while the concentration of adatoms, rather than their mobility, plays a key role. However, as the pressure increases to values at which ...
Added: February 1, 2023
Nonlinear wave run-up in bays of arbitrary cross-section: generalization of the Carrier-Greenspan approach
, , , Journal of Fluid Mechanics 2014 Vol. 748 P. 416-432
We present an exact analytical solution of the nonlinear shallow water theory for wave run-up in inclined channels of arbitrary cross-section, which generalizes previous studies on wave run-up for a plane beach and channels of parabolic cross-section. The solution is found using a hodograph-type transform, which extends the well-known Carrier–Greenspan transform for wave run-up on ...
Added: November 19, 2014
Анализ систем на пороге XXI века: Теория и практика: Материалы международной конференции, Москва, 27-29 февраля 1996 г. В 2-х ч.
М. : Интеллект, 1996
Added: March 29, 2013
Процессы спинового транспорта в наноструктурах "ферромагнитный полупроводник – немагнитный полупроводник"
, , , Перспективные материалы 2010 № 4 С. 21-25
Исследованы процессы спинового транспорта в наноразмерных спинтронных структурах "ферромагнитный полупроводник – немагнитный полупроводник" CdCr2Se4/CdIn2S4 и HgCr2Se4/CdIn2S4 с низкой степенью рассогласования кристаллических решеток. Проанализированы спин-поляризованные туннельные токи в зависимости от ширины потенциального барьера, приложенного электрического и магнитного полей. Показана возможность использования данных спинтронных наноструктур в качестве эффективного спинового фильтра. ...
Added: April 12, 2012
Control of the exciton valley dynamics in atomically thin semiconductors by tailoring the environment
, , et al., Physical Review B: Condensed Matter and Materials Physics 2021 Vol. 103 No. 8 P. 085302-1-085302-12
The exciton valley dynamics in van der Waals heterostructures with transition metal dichalcogenide monolayers is driven by the long-range exchange interaction between the electron and the hole in the exciton. It couples the states active in the opposite circular polarizations resulting in the longitudinal-transverse splitting of excitons propagating in the monolayer plane. Here we study ...
Added: March 5, 2021
М. : ИКИ РАН, 2011
Added: March 26, 2013
The book provides the list of scientific researches in such areas as innovations, tendencies, practical problems and strategies of development for financial, economic, industrial, energy, medical, biological, transport and other large-scale systems. All publications are reffered according to scopus requirements. ...
Added: October 24, 2019
, , Information Processing Letters 2012 Т. 112 № 3 С. 72-76
In this note, we consider a single machine scheduling problem with generalized total tardiness objective function. A pseudo-polynomial time solution algorithm is proposed for a special case of this problem. Moreover, we present a new graphical algorithm for another special case, which corresponds to the classical problem of minimizing the weighted number of tardy jobs on a single ...
Added: November 24, 2012
, , et al., Мембраны и мембранные технологии 2014 Т. 4 № 1 С. 26-30
Asymmetric membrane materials based on MK-40 membranes modified with a thin layer of perfluorinated ion exchangers MF-4SK with embedded polyaniline were obtained. The diffusion characteristics of the obtained composites are investigated. An abnormal asymmetry of ion transport in a neutral medium was detected. The diffusion coefficients of individual cations for membranes with mixed cation composition ...
Added: November 13, 2019
Temperature distribution in driven granular mixtures does not depend on mechanism of energy dissipation
, , , Scientific Reports 2020 Vol. 10 Article 693
We study analytically and numerically the distribution of granular temperatures in granular mixtures for different dissipation mechanisms of inelastic inter-particle collisions. Both driven and force-free systems are analyzed. We demonstrate that the simplified model of a constant restitution coefficient fails to predict even qualitatively a granular temperature distribution in a homogeneous cooling state. At the same time we reveal ...
Added: February 25, 2020
Dataset of spiking and LFP activity invasively recorded in the human amygdala during aversive dynamic stimuli
, , et al., Scientific data 2021 Vol. 8 P. 1-6
We present an electrophysiological dataset collected from the amygdalae of nine participants attending a visual dynamic stimulation of emotional aversive content. The participants were patients affected by epilepsy who underwent preoperative invasive monitoring in the mesial temporal lobe. Participants were presented with dynamic visual sequences of fearful faces (aversive condition), interleaved with sequences of neutral ...
Added: January 31, 2021
Proceedings of 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT'17) / April 5-7, 2017
Barcelona : IEEE, 2017
International Conference on Control, Decision and Information Technologies. ...
Added: January 17, 2018
Интеллектуальные системы в науке и технике. Искусственный интеллект в решении актуальных социальных и экономических проблем ХХI века
, Пермь : Пермский государственный национальный исследовательский университет. – Электронные данные. , 2020
The collection contains materials from the international conference "Intelligent systems in science and technology" and the Sixth all-Russian scientific and practical conference "Artificial intelligence in solving urgent social and economic problems of the XXI century", which was held on October 12-18, 2020 in Perm as part of the Perm natural science forum "Mathematics and global ...
Added: December 4, 2020
Information system for on-line acces to satellite data ADBIS’96 Proceedings of the Third International Workshop on Advances in Databases in Information Systems Moscow September 10-13 1996
, , et al., Information Systems 1996 Vol. 2
Added: March 29, 2013