Free Energies and Probe Actions for Near-horizon D-branes and D1 + D5 System

By working with the free energy for the type II supergravity near-horizon solution of N coincident non-extremal Dp-branes we study the transitions among the non-conformal Dp-brane system, the perturbative super Yang-Mills theory and a certain system associated with M theory. We derive a relation between this free energy and the action of a Dp-brane probe in the N Dp-brane background. Constructing the free energy for the five dimensional black hole labeled by the D1-brane and D5-brane charges we find the similar relation between it and the action of a D1 or D5 brane probe in the D1 + D5 brane background. These relations are explained by the massive open strings stretched between the relevant D-branesComment: 14 pages, LaTeX2e, no figure

Магнитоэлектрический двигатель для привода рулевой колонки автотранспортного средства

Научная квалификационная работа посещена исследованию пульсаций электромагнитного момента в магнитоэлектрическом двигателе рулевой колонки автотранспортного средства. В первой главе выполнен обзор исследований на тему магнитоэлектрических машин с различной компоновкой магнитов на роторе и осуществлена постановка задачи научной квалификационной работы. Во второй главе рассмотрены вопросы имитационного моделирования магнитоэлектрической машины в конечно-элементной компьютерной среде. Выполнено планирование эксперимента, получена взаимосвязь между количеством пазов ротора, зубцами статора, коэрцитивной силы магнитов с позиции значений электромагнитного момента. В третьей главе выполнен расчет связанной модели магнитоэлектрический двигатель-инвертор напряжения-система управления.Scientific qualification work is visited to a research of pulsations of the electromagnetic torque in the magnetoelectric motor of a steering column of the vehicle. In chapter 1 the review of researches on magnetoelectric machine with various configuration of magnets on a rotor is executed and problem definition of scientific qualification work is carried out. In chapter 2 questions of a simulation modeling of the magnetoelectric machine in the terminating and element computer environment are considered. Scheduling of an experiment is executed, the interrelation between quantity of poles of a rotor, tooths of a stator, a coercive force of magnets from a position of values of the electromagnetic torque is received. In a chapter 3 calculation of the bound model the magnetoelectric motor

Automation of the solution of the reverse problems of economic analysis

In this article, we consider the solution of inverse problems of economic analysis by the method of coefficients of relative importance and automation of the solution. The result of the research is the development and implementation of automation of solving the inverse problems of economic analysis, for making decisions in economic problems

Infinite spin limit of semiclassical string states

Motivated by recent works of Hofman and Maldacena and Dorey we consider a special infinite spin limit of semiclassical spinning string states in AdS5 x S5. We discuss examples of known folded and circular 2-spin string solutions and demonstrate explicitly that the 1-loop superstring correction to the classical expression for the energy vanishes in the limit when one of the spins is much larger that the other. We also give a general discussion of this limit at the level of integral equations describing finite gap solutions of the string sigma model and argue that the corresponding asymptotic form of the string and gauge Bethe equations is the same.Comment: 38 pages, 3 figures; v2: comments on derivation of bound states of magnons from discrete Bethe equations added in section 4 and appendix C, references added, Imperial-TP-AT-6-4, HUTP-06/A002

Three Spin Spiky Strings in beta-deformed Background

We study rigidly rotating strings in $\beta$-deformed $AdS_5\times S^5$ background with one spin along AdS$_5$ and two angular momenta along $S^5$. We find the spiky string solutions and present the dispersion relation among various charges in this background. We further generalize the result to the case of four angular momenta along $AdS_5 \times S_{\gamma}^5$.Comment: 12 pages, minor corrections, added references, to appear in JHE

Physical simulation of wind pressure on building models at various arrangement and airflow conditions

The results of modeling and distribution of the pressure coefficient on the faces of the faces of the model of a high-rise building with a relative height of H/a = 3 and 6 are obtained under the influence of vortex flows created by an obstacle with similar geometric parameters with its lateral displacement from the longitudinal axis of the channel. The accepted range of transverse displacements is L2/a = 0.5; 1; 1.5; 2. In the range of studies, the airflow angle of 0 degrees was adopted with the maximum Reynolds number (Re) = 4.25´104. The distances between the models in the wake correspond to the calibers L1/a = 1.5; 3 and 6. A series of experiments was carried out on the basis of the theory of modeling. The experiments are based on the modeling of the model buildings under study on the basis of the similarity theory. Systematic data are obtained on the distribution of the pressure coefficients Cp on the faces of the model, depending on its location in the track of the upstream model with a change in the distance between them in the transverse direction relative to the direction of the air flow

Spiky strings and single trace operators in gauge theories

We consider single trace operators of the form O_{m_1 ... m_n} = tr D_+^{m_1} F ... D_+^{m_n} F which are common to all gauge theories. We argue that, when all m_i are equal and large, they have a dual description as strings with cusps, or spikes, one for each field F. In the case of N=4 SYM, we compute the energy as a function of angular momentum by finding the corresponding solutions in AdS_5 and compare with a 1-loop calculation of the anomalous dimension. As in the case of two spikes (twist two operators), there is agreement in the functional form but not in the coupling constant dependence. After that, we analyze the system in more detail and find an effective classical mechanics describing the motion of the spikes. In the appropriate limit, it is the same (up to the coupling constant dependence) as the coherent state description of linear combinations of the operators O_{m_1 ... m_n} such that all m_i are equal on average. This agreement provides a map between the operators in the boundary and the position of the spikes in the bulk. We further suggest that moving the spikes in other directions should describe operators with derivatives other than D_+ indicating that these ideas are quite generic and should help in unraveling the string description of the large-N limit of gauge theories.Comment: 23 pages, 5 figures. v2: References and comments adde

Folded Three-Spin String Solutions in AdS_5 x S^5

We construct a spinning closed string solution in AdS_5 x S^5 which is folded in the radial direction and has two equal spins in AdS_5 and a spin in S^5. The energy expression of the three-spin solution specified by the folding and winding numbers for the small S^5 spin shows a logarithmic behavior and a one-third power behavior of the large total AdS_5 spin, in the long string and in the short string located near the boundary of AdS_5 respectively. It exhibits the non-regular expansion in the 't Hooft coupling constant, while it takes the regular one when the S^5 spin becomes large.Comment: 14 pages, LaTeX, no figures, a reference adde

Generalized pulsating strings

In this paper we consider new solutions for pulsating strings. For this purpose we use tha idea of the generalized ansatz for folded and circular strings in hep-th/0311004. We find the solutions to the resulting Neumann-Rosochatius integrable system and the corrections to the energy. To do that we use the approach developed by Minahan in hep-th/0209047 and find that the corrections are quite different from those obtained in that paper and hep-th/0310188. We conclude with comments on our solutions and obtained corrections to the energy, expanded to the leading order in lambda.Comment: v.2 references added, citations corrected, 18 page