Quantum oscillations of rectified dc voltage as a function of magnetic field in an "almost" symmetric superconducting ring

Periodic quantum oscillations of a rectified dc voltage Vdc(B) vs the perpendicular magnetic field B were measured near the critical temperature Tc in a single superconducting aluminum almost symmetric ring (without specially created circular asymmetry) biased by alternating current with a zero dc component. With varying bias current and temperature, these Vdc(B) oscillations behave like the Vdc(B) oscillations observed in a circular-asymmetric ring but are of smaller amplitude. The Fourier spectra of the Vdc(B) functions exhibit a fundamental frequency, corresponding to the ring area, and its higher harmonics. Unexpectedly, satellite frequencies depending on the structure geometry and external parameters were found next to the fundamental frequency and around its higher harmonics.Comment: author english version, 2 pages, 3 figires, Proc. of the XXXIV Conference on Low-Temperature Physics "NT-34" (Russia, 2006

Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics

Quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons. It is shown that the energy conservation law provides the effective equations of motion of ring dark solitons for general form of the nonlinear term in the generalized nonlinear Schroedinger or Gross-Pitaevskii equation. Analytical theory is illustrated by examples of dynamics of ring solitons in light beams propagating through a photorefractive medium and in non-uniform condensates confined in axially symmetric traps. Analytical results agree very well with the results of our numerical simulations.Comment: 10 pages, 4 figure

Initiation of Ignition of Highly Fuel Particles in The Flow of High Temperature Medium

An approximate analytical solution of ignition of the fuel porous particles has been brought. The impact of thermal radiation on the characteristics and conditions of the ignition has been considered. The verification of the solution has been obtained by comparing the calculated characteristics (delay time of ignition and the ignition temperature) with similar values obtained using the previously derived formulas

Instabilities in the two-dimensional cubic nonlinear Schrodinger equation

The two-dimensional cubic nonlinear Schrodinger equation (NLS) can be used as a model of phenomena in physical systems ranging from waves on deep water to pulses in optical fibers. In this paper, we establish that every one-dimensional traveling wave solution of NLS with trivial phase is unstable with respect to some infinitesimal perturbation with two-dimensional structure. If the coefficients of the linear dispersion terms have the same sign then the only unstable perturbations have transverse wavelength longer than a well-defined cut-off. If the coefficients of the linear dispersion terms have opposite signs, then there is no such cut-off and as the wavelength decreases, the maximum growth rate approaches a well-defined limit.Comment: 4 pages, 4 figure

Terms and Characteristics of Homogeneous Ignition of Coal-Water Particles Coated with a Water Film

The problem of coal-water fuel ignition of particles in a high-temperature heating has been solved numericallyin the framework of a two-layer model of "coal-water". The basic characteristics of the integrated ignition has been shown. The influence of the vaporization process of the water film on the ignition conditions has been shown

Localized structures of electromagnetic waves in hot electron-positronplasmas

The dynamics of relativistically strong electromagnetic (EM) wave propagation in hot electron-positron plasma is investigated. The possibility of finding localized stationary structures of EM waves is explored. It is shown that under certain conditions the EM wave forms a stable localized soliton-like structures where plasma is completely expelled from the region of EM field location.Comment: 14 pages, LaTeX, 1 figure can be obtained upon request through email to [email protected]

Disorder driven quantum critical behavior in CuGeO3 doped with magnetic impurity

For the CuGeO3 doped with 1% of Fe the quantum critical behavior in a wide temperature range 1-40 K is reported. The critical exponents for susceptibility along different crystallographic axes are determined: a=0.34 (B//a and B//c) and a=0.31 (B//b). New effect of the frequency dependence of the critical exponent is discussed.Comment: Submitted to SCES0

Current-sheet formation in incompressible electron magnetohydrodynamics

The nonlinear dynamics of axisymmetric, as well as helical, frozen-in vortex structures is investigated by the Hamiltonian method in the framework of ideal incompressible electron magnetohydrodynamics. For description of current-sheet formation from a smooth initial magnetic field, local and nonlocal nonlinear approximations are introduced and partially analyzed that are generalizations of the previously known exactly solvable local model neglecting electron inertia. Finally, estimations are made that predict finite-time singularity formation for a class of hydrodynamic models intermediate between that local model and the Eulerian hydrodynamics.Comment: REVTEX4, 5 pages, no figures. Introduction rewritten, new material and references adde

Theory and computation of covariant Lyapunov vectors

Lyapunov exponents are well-known characteristic numbers that describe growth rates of perturbations applied to a trajectory of a dynamical system in different state space directions. Covariant (or characteristic) Lyapunov vectors indicate these directions. Though the concept of these vectors has been known for a long time, they became practically computable only recently due to algorithms suggested by Ginelli et al. [Phys. Rev. Lett. 99, 2007, 130601] and by Wolfe and Samelson [Tellus 59A, 2007, 355]. In view of the great interest in covariant Lyapunov vectors and their wide range of potential applications, in this article we summarize the available information related to Lyapunov vectors and provide a detailed explanation of both the theoretical basics and numerical algorithms. We introduce the notion of adjoint covariant Lyapunov vectors. The angles between these vectors and the original covariant vectors are norm-independent and can be considered as characteristic numbers. Moreover, we present and study in detail an improved approach for computing covariant Lyapunov vectors. Also we describe, how one can test for hyperbolicity of chaotic dynamics without explicitly computing covariant vectors.Comment: 21 pages, 5 figure

Heavy ion beam probe design study for TCABR

The Heavy Ion Beam Probe (HIBP) diagnostic is known as a unique tool for the direct plasma electric potential measurements. It gives also information on plasma density, temperature and current profile. The method is based on the injection of single charged ion beam into the plasma and the registration of the double charged particles born due to collisions with the plasma electrons. The area of the ionization in plasma is the sample volume of the plasma potential measurements. The position and the size of the sample volume are determined by the calculation of the trajectories of the probing particles. Three schemes have been analysed: Cs⁺, Tl⁺ ion and neutral injection for TCABR parameters: B0 = 1.5 T, Ipl = 135 kA. The calculations show that ion probing allows getting radial profiles of TCABR plasma parameters with the injection angle fast scan system. In all cases of ion beam injection we must use a curved beam line for ion beam transportation from last steering plates towards upper port. The primary ion beam injector must be situated out of high magnetic field area and its length is about 1.5m. The energy range (less than 100 keV for Cs⁺, or Tl⁺) allows using compact and cheap ion gun equipmenСистема зондування плазми пучком важких іонів відома як унікальний інструмент для прямих вимірювань потенціалу плазми. Вона також дозволяє одержувати інформацію про густину плазми, температуру і профіль току. Метод заснований на інжекції пучка однозарядних іонів у плазму та реєстрації двозарядних часток, утворених у результаті зіткнень з електронами плазми. Область іонізації у плазмі визначає елементарний об’єм, у якому здійснюється вимірювання потенціалу плазми. Положення і розмір елементарного об’єму визначається за допомогою розрахунків траєкторій зондуючих часток. Проаналізовано три варіанти: інжекція іонів Cs⁺, Tl⁺ та нейтральних атомів для параметрів TCABR: B0 = 1.5 T, Ipl = 135 кA. Розрахунки показують можливість одержання профілів параметрів плазми TCABR за допомогою системи швидкого сканування по кутам інжекції іонного пучка. У всіх випадках інжекції іонного пучка необхідно застосування вигнутого іонопроводу для транспортування іонного пучка від вихідних відхиляючих пластин до порту токамака. Інжектор первинного іонного пучка повинен бути розташований поза областю сильного магнітного поля , а його довжина буде біля 1,5 м. Енергія іонного пучка (біля 100 кеВ для Cs⁺ або Tl⁺) дозволяє застосувати компактний и дешевий іонний інжектор.Система зондирования плазмы пучком тяжелых ионов известна как уникальный инструмент для прямых измерений потенциала плазмы. Она так же позволяет получать информацию о плотности плазмы, температуре и профиле тока. Метод основан на инжекции пучка однозарядных ионов в плазму и регистрации двухзарядных частиц, образующихся в результате столкновений с электронами плазмы. Область ионизации в плазме определяет элементарный объем, в котором происходит измерение потенциала плазмы. Положение и размер элементарного объема определяются с помощью расчета траекторий зондирующих частиц. Проанализировано три варианта: инжекция ионов Cs⁺, Tl⁺ и нейтральных атомов для параметров TCABR: B0 = 1.5 T, Ipl = 135 kA. Расчеты показывают возможность получения профилей параметров плазмы TCABR с помощью системы быстрого сканирования по углу инжекции ионного пучка. Во всех случаях инжекции ионного пучка необходимо использование изогнутого ионопровода для транспортировки ионного пучка от выходных отклоняющих пластин до порта токамака. Инжектор первичного ионного пучка должен быть расположен вне области сильного магнитного поля , а его длина составит около 1,5 м. Энергия ионного пучка (около 100 кэВ для Cs⁺ или Tl⁺) позволяет использовать компактный и дешевый ионный инжектор