Creep of an inhomogeneous polymeric cylindrical shell under heating

The article presents the calculation of a polymer thick-walled cylindrical shell, taking into account creep under the action of a uneven temperature field. The relevance of the work lies in the widespread intro-duction of polymer pipes in the repair and construction of pipelines for heating, sewerage, and water supply systems. The problem is solved in an axisymmetric formulation under plane deformation conditions. The calculation is based on the non-linear Maxwell-Gurevich equation, which is widely used in the calculations of polymer structures. In the problem under consideration, the cylindrical shell is in a flat de-formed state. It is also believed that temperature is a function of radius and time

Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation

Two families of solutions of a generalized non-Abelian Toda lattice are considered. These solutions are expressed in terms of quasideterminants, constructed by means of Darboux and binary Darboux transformations. As an example of the application of these solutions, we consider the 2-periodic reduction to a matrix sine-Gordon equation. In particular, we investigate the interaction properties of polarized kink solutions.Comment: 14 pages; 4 picture

Phase coherence phenomena in superconducting films

Superconducting films subject to an in-plane magnetic field exhibit a gapless superconducting phase. We explore the quasi-particle spectral properties of the gapless phase and comment on the transport properties. Of particular interest is the sensitivity of the quantum interference phenomena in this phase to the nature of the impurity scattering. We find that films subject to columnar defects exhibit a `Berry-Robnik' symmetry which changes the fundamental properties of the system. Furthermore, we explore the integrity of the gapped phase. As in the magnetic impurity system, we show that optimal fluctuations of the random impurity potential conspire with the in-plane magnetic field to induce a band of localized sub-gap states. Finally, we investigate the interplay of the proximity effect and gapless superconductivity in thin normal metal-superconductor bi-layers.Comment: 13 pages, 8 figures include

Covariant Vortex In Superconducting-Superfluid-Normal Fluid Mixtures with Stiff Equation of State

The integrals of motion for a cylindrically symmetric stationary vortex are obtained in a covariant description of a mixture of interacting superconductors, superfluids and normal fluids. The relevant integrated stress-energy coefficients for the vortex with respect to a vortex-free reference state are calculated in the approximation of a ``stiff'', i.e. least compressible, relativistic equation of state for the fluid mixture. As an illustration of the foregoing general results, we discuss their application to some of the well known examples of ``real'' superfluid and superconducting systems that are contained as special cases. These include Landau's two-fluid model, uncharged binary superfluid mixtures, rotating conventional superconductors and the superfluid neutron-proton-electron plasma in the outer core of neutron stars.Comment: 14 pages, uses RevTeX and amssymb, submitte

Magnetic fluctuations in 2D metals close to the Stoner instability

We consider the effect of potential disorder on magnetic properties of a two-dimensional metallic system (with conductance $g\gg 1$) when interaction in the triplet channel is so strong that the system is close to the threshold of the Stoner instability. We show, that under these conditions there is an exponentially small probability for the system to form local spin droplets which are local regions with non zero spin density. Using a non-local version of the optimal fluctuation method we find analytically the probability distribution and the typical spin of a local spin droplet (LSD). In particular, we show that both the probability to form a LSD and its typical spin are independent of the size of the droplet (within the exponential accuracy). The LSDs manifest themselves in temperature dependence of observable quantities. We show, that below certain cross-over temperature the paramagnetic susceptibility acquires the Curie-like temperature dependence, while the dephasing time (extracted from magneto-resistance measurements) saturates.Comment: 15 pages, 4 figure

Symmetry justification of Lorenz' maximum simplification

In 1960 Edward Lorenz (1917-2008) published a pioneering work on the `maximum simplification' of the barotropic vorticity equation. He derived a coupled three-mode system and interpreted it as the minimum core of large-scale fluid mechanics on a `finite but unbounded' domain. The model was obtained in a heuristic way, without giving a rigorous justification for the chosen selection of modes. In this paper, it is shown that one can legitimate Lorenz' choice by using symmetry transformations of the spectral form of the vorticity equation. The Lorenz three-mode model arises as the final step in a hierarchy of models constructed via the component reduction by means of symmetries. In this sense, the Lorenz model is indeed the `maximum simplification' of the vorticity equation.Comment: 8 pages, minor correction

Instabilities and Bifurcations of Nonlinear Impurity Modes

We study the structure and stability of nonlinear impurity modes in the discrete nonlinear Schr{\"o}dinger equation with a single on-site nonlinear impurity emphasizing the effects of interplay between discreteness, nonlinearity and disorder. We show how the interaction of a nonlinear localized mode (a discrete soliton or discrete breather) with a repulsive impurity generates a family of stationary states near the impurity site, as well as examine both theoretical and numerical criteria for the transition between different localized states via a cascade of bifurcations.Comment: 8 pages, 8 figures, Phys. Rev. E in pres

Extension of the sum rule for the transition rates between multiplets to the multiphoton case

The sum rule for the transition rates between the components of two multiplets, known for the one-photon transitions, is extended to the multiphoton transitions in hydrogen and hydrogen-like ions. As an example the transitions 3p-2p, 4p-3p and 4d-3d are considered. The numerical results are compared with previous calculations.Comment: 10 pages, 4 table

Influence of porosity on erosion behavior and hydrogen permeability of tungsten films

The erosion characteristics of dense and porous W-films deposited on Pd substrates were measured under impact of mirror Penning discharge nitrogen plasma. It is shown that the erosion rate of high porous tungsten films (up to 45% porosity) is similar to that for dense (1 – 3% porosity) tungsten films. At the same time hydrogen permeation through porous tungsten films essentially higher than for dense W coatings and in some cases it approaches to values as for bare Pd. The activation energies of hydrogen permeability measured for two-layer Pd-W systems with high porosity are higher than for dense W-films on Pd (15.44 kJ/mol and 12.8 kJ/mol, accordingly), but these values much lower than the ones for bulk W under gas-driven permeation experiments. The possible reasons of such erosion and permeation behavior are discussed.Зміряні ерозійні характеристики щільних і пористих плівок вольфраму на паладії при дії азотної плазми відбивних розрядів Пеннінга. Показано, що швидкість ерозії високопористих плівок вольфраму (пористість близько 45%) практично не відрізняється від такої для щільних плівок W (пористість 1 – 3%). У теж час проникнення водню крізь високопористі плівки вольфраму багато вище, ніж крізь щільні покриття W і в деяких випадках величини проникності можуть бути близькі до такої для Pd без покриття. Енергії активації водневої проникності зміряні для двошарових систем Pd-W з високою пористістю W вище, ніж для щільних W-плівок на Pd (15,44 кДж/моль і 12,8 кДж/моль, відповідно), але в обох випадках ці величини багато нижче, ніж для масивного W в умовах пронuкновения з молекулярної фази. Обговорюються можливі причини такої поведінки ерозії і водневої проникності.Измерены эрозионные характеристики плотных и пористых пленок вольфрама на палладии при воздействии азотной плазмы отражательных разрядов Пеннинга. Показано, что скорость эрозии высокопористых пленок вольфрама (пористость около 45%) практически не отличается от таковой для плотных W пленок (пористость 1 – 3%). В тоже время проникновение водорода через высокопористые пленки вольфрама много выше, чем через плотные W покрытия и в некоторых случаях величины проницаемости могут быть близки к таковой для Pd без покрытия. Энергии активации водородопроницаемости измереннные для двухслойных Pd-W систем с высокой пористостью W выше, чем для плотных W-пленок на Pd (15,44 кДж/моль и 12,8 кДж/моль, соответственно), но в обоих случаях эти величины много ниже, чем для массивного W в условиях проникновения из молекулярной фазы. Обсуждаются возможные причины такого поведения эрозии и водородопроницаемости

Hydrogen saturation influence on erosion behavior of thin W-films under steady state nitrogen plasma impact

The erosion behavior of W-Pd bimetallic system was examined for both hydrogen saturated and non-saturated states under impact of steady state nitrogen plasma of a mirror Penning discharge. Possible physical mechanism is discussed to explain the essential decrease of erosion rate and damages of such systems (form change, macro-blistering and macro-flaking) caused by hydrogen saturation to high concentration.Досліджувалося ерозійне поводження W-Pd біметалічних систем у насиченому воднем стані і ненасиченому, при впливі стаціонарної азотної плазми відбивного розряду Пеннінга. Обговорюються можливі фізичні механізми, що пояснюють істотне зниження швидкості ерозії й ушкодження таких систем (зміна форми, макро- блістерінг і макро-флекінг), обумовлених насиченням воднем до високих концентрацій.Исследовалось эрозионное поведение W-Pd биметаллических систем в насыщенном водородом состоянии и ненасыщенном, при воздействии стационарной азотной плазмы отражательного разряда Пеннинга. Обсуждаются возможные физические механизмы, объясняющие существенное снижение скорости эрозии и повреждения таких систем (изменение формы, макро-блистеринг и макро-флэкинг), обусловленных насыщением водородом до высоких концентраций