How long does it take to pull an ideal polymer into a small hole?

We present scaling estimates for characteristic times $\tau_{\rm lin}$ and $\tau_{\rm br}$ of pulling ideal linear and randomly branched polymers of $N$ monomers into a small hole by a force $f$. We show that the absorbtion process develops as sequential straightening of folds of the initial polymer configuration. By estimating the typical size of the fold involved into the motion, we arrive at the following predictions: $\tau_{\rm lin}(N) \sim N^{3/2}/f$ and $\tau_{\rm br}(N) \sim N^{5/4}/f$, and we also confirm them by the molecular dynamics experiment.Comment: 4 pages, 3 figure

Fermionic construction of partition function for multi-matrix models and multi-component TL hierarchy

We use $p$-component fermions $(p=2,3,...)$ to present $(2p-2)N$-fold integrals as a fermionic expectation value. This yields fermionic representation for various $(2p-2)$-matrix models. Links with the $p$-component KP hierarchy and also with the $p$-component TL hierarchy are discussed. We show that the set of all (but two) flows of $p$-component TL changes standard matrix models to new ones.Comment: 16 pages, submitted to a special issue of Theoretical and Mathematical Physic

Development of competence for the discipline «Microprocessor technics» based on FPGA Altera company Cyclone III series

Рассматриваются сравнительные характеристики ПЛИС с другими логическими устройствами и целесообразность развития направления и добавления в курс «Микропроцессорная техника» материала для изучения программируемых логических интегральных схем.Consider the comparative characteristics of the FPGA logic with other devices, and the feasibility of the development direction and adding to course "Microprocessor technics" of the material for the study of FPGA

Synthesis of electric speed controller in the spectral region.

Рассматривается общий порядок и структура алгоритмов решения основной задачи анализа систем управления различных классов при детерминированных воздействиях.We consider the general order and structure of algorithms for solving the basic problems of the analysis of different classes of control systems for deterministic effects

Review of integral transformations applied in the tasks of analysis and synthesis of electric drive systems

The paper presents set of integral transformations that can potentially be used to obtain spectral representations of signals of automatic systems. The advantages and disadvantages of the considered transformations for the ACS class, characteristic for the electric drive, are indicated.В данной статье рассмотрен набор интегральных преобразований, которые потенциально могут быть использованы для получения спектральных представлений сигналов автоматических систем Обозначены преимущества и недостатки рассмотренных преобразований для класса САУ, характерных для электропривода