Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply

We consider unsteady heat transfer in a one-dimensional harmonic crystal surrounded by a viscous environment and subjected to an external heat supply. The basic equations for the crystal particles are stated in the form of a system of stochastic differential equations. We perform a continualization procedure and derive an infinite set of linear partial differential equations for covariance variables. An exact analytic solution describing unsteady ballistic heat transfer in the crystal is obtained. It is shown that the stationary spatial profile of the kinetic temperature caused by a point source of heat supply of constant intensity is described by the Macdonald function of zero order. A comparison with the results obtained in the framework of the classical heat equation is presented. We expect that the results obtained in the paper can be verified by experiments with laser excitation of low-dimensional nanostructures.Comment: 12 pages, 5 figure

Discrete breathers assist energy transfer to ac driven nonlinear chains

One-dimensional chain of pointwise particles harmonically coupled with nearest neighbors and placed in six-order polynomial on-site potentials is considered. Power of the energy source in the form of single ac driven particles is calculated numerically for different amplitudes $A$ and frequencies $\omega$ within the linear phonon band. The results for the on-site potentials with hard and soft nonlinearity types are compared. For the hard-type nonlinearity, it is shown that when the driving frequency is close to (far from) the {\em upper} edge of the phonon band, the power of the energy source normalized to $A^2$ increases (decreases) with increasing $A$. In contrast, for the soft-type nonlinearity, the normalized power of the energy source increases (decreases) with increasing $A$ when the driving frequency is close to (far from) the {\em lower} edge of the phonon band. Our further demonstrations indicate that, in the case of hard (soft) anharmonicity, the chain can support movable discrete breathers (DBs) with frequencies above (below) the phonon band. It is the energy source quasi-periodically emitting moving DBs in the regime with driving frequency close to the DBs frequency, that induces the increase of the power. Therefore, our results here support the mechanism that the moving DBs can assist energy transfer from the ac driven particle to the chain.Comment: 11 pages, 13 figure

Managing change in the holding company as a factor in solving strategic problems of the Region

The relevance of the investigated problem is caused by the necessity of changes in holding company’s management systems to address the strategic problems of the region. The purpose of the study is to develop a method of forming teams at the corporate level for the coordination and implementation of programs for the implementation of reforms and their subsequent impact on the institutional environment of the region. The leading approach to the study of the problem is systemic and situational approach in the framework of the theory and methodology of innovation management that allow to analyze the change management features in the company. The following results were obtained from the study: analyzed regionally significant holding companies which have a significant impact on the socio-economic indicators. Article Submissions may be useful for organizations engaged in development, as well as consultants and experts on issues of innovation and production management. with the proposed mechanism can plan and implement economic development, in which the organization will be ensured current stability, long-term sustainability, the pace of development of the relevant market situation. © 2016 Krivtsov, Polinova and Chupina

Corporate information management system and its influence on increase of changes productivity

The urgency of the problem under investigation due to constant changes in the external business environment requires organizations to establish a mechanism to manage change and increase the impact of these changes. The purpose of the article is to analyze the change management concepts and their applicability in the strategically important holdings in the region, as well as identifying features of reforming of the enterprises in the crisis through the creation of change management system. The leading approach to the study of this problem is a systematic approach to identify the main features allowing for the formation of the mechanism of change management in the regional holding companies. The main results: systematization and analysis of the existing change management concepts, and identified particular changes in the company based on the use of change management system. Article Submissions may be useful for the regional and federal holding companies with constant changes in the external business environment. © 2016 Krivtsov et al

Comment on the calculation of forces for multibody interatomic potentials

The system of particles interacting via multibody interatomic potential of general form is considered. Possible variants of partition of the total force acting on a single particle into pair contributions are discussed. Two definitions for the force acting between a pair of particles are compared. The forces coincide only if the particles interact via pair or embedded-atom potentials. However in literature both definitions are used in order to determine Cauchy stress tensor. A simplest example of the linear pure shear of perfect square lattice is analyzed. It is shown that, Hardy's definition for the stress tensor gives different results depending on the radius of localization function. The differences strongly depend on the way of the force definition.Comment: 9 pages, 2 figure

On the Contributions of Pavel Andreevich Zhilin to Mechanics

This paper is dedicated to the memory of Pavel A. Zhilin (1942-2005), the great Russian scientist in the field of Rational Mechanics. He was educated and worked at the State Polytechnical University in St. Petersburg (Russian Federation), formerly known as the Polytechnical Institute. As Head of the Department of Theoretical Mechanics he supervised sixteen PhD theses (Candidate of Science theses) and six higher doctorates (Habilitations or Doctor of Science theses), some of them are shown on Fig. 2. His scientific interests covered various branches of Mechanics and Theoretical Physics. In his research he strived to pave a way based on Rational Mechanics to areas which are traditionally not associated with Mechanics, such as Physics of Microstructures and Electrodynamics. The paper gives a brief summary of the scientific biography and the main results obtained by Pavel A. Zhilin1

Methods of educational content management for sustainable development of the university

В рамках НИР МЭСИ «Обеспечение зарубежных точек доступа к информационно-знаниевой среде МЭСИ качественным видеоконтентом» была разработана методика актуализации мультимедийных (видео) учебных материалов как элементов электронных курсов. В статье приводятся некоторые результаты научно-исследовательской работы

Homoleptic Poly(nitrato) Complexes of Group 14 Stable at Ambient Conditions

Using a novel approach in homoleptic nitrate chemistry, Sn(NO3)62− (3c) as well as the previously unknown hexanitrato complexes Si(NO3)62− (1c), Ge(NO3)62− (2c) were synthesized from the element tetranitrates as salt-like compounds which were isolated and characterized using 1H, 14N, and 29Si NMR and IR spectroscopies, elemental and thermal analyses, and single-crystal XRD. All hexanitrates are moderately air-sensitive at 298 K and possess greater thermal stability toward NO2 elimination than their charge-neutral tetranitrato congeners as solids and in solution. The complexes possess distorted octahedral coordination skeletons and adopt geometries that are highly symmetric (3c) or deformed (1c, 2c) depending on the degree of steric congestion of the ligand sphere. As opposed to the κ2O,O′ coordination mode reported for Sn(NO3)4 previously,1 all nitrato ligands of 3c coordinate in κ1O mode. Six geometric isomers of E(NO3)62− were identified as minima on the PES using DFT calculations at the B3LYP/6-311+G(d,p) level of which two were observed experimentally