Dynamics of the superconducting condensate in the presence of a magnetic field. Channelling of vortices in superconducting strips at high currents

On the basis of the time-dependent Ginzburg-Landau equation we studied the dynamics of the superconducting condensate in a wide two-dimensional sample in the presence of a perpendicular magnetic field and applied current. We could identify two critical currents: the current at which the pure superconducting state becomes unstable ($J_{c2}$ \cite{self1}) and the current at which the system transits from the resistive state to the superconducting state ($J_{c1}<J_{c2}$). The current $J_{c2}$ decreases monotonically with external magnetic field, while $J_{c1}$ exhibits a maximum at $H^*$. For sufficient large magnetic fields the hysteresis disappears and $J_{c1}=J_{c2}=J_c$. In this high magnetic field region and for currents close to $J_c$ the voltage appears as a result of the motion of separate vortices. With increasing current the moving vortices form 'channels' with suppressed order parameter along which the vortices can move very fast. This leads to a sharp increase of the voltage. These 'channels' resemble in some respect the phase slip lines which occur at zero magnetic field.Comment: 5 pages, 4 figures, Proceedings of Third European Conference on Vortex Matter in Superconductor

Regulator constants and the parity conjecture

The p-parity conjecture for twists of elliptic curves relates multiplicities of Artin representations in p-infinity Selmer groups to root numbers. In this paper we prove this conjecture for a class of such twists. For example, if E/Q is semistable at 2 and 3, K/Q is abelian and K^\infty is its maximal pro-p extension, then the p-parity conjecture holds for twists of E by all orthogonal Artin representations of Gal(K^\infty/Q). We also give analogous results when K/Q is non-abelian, the base field is not Q and E is replaced by an abelian variety. The heart of the paper is a study of relations between permutation representations of finite groups, their "regulator constants", and compatibility between local root numbers and local Tamagawa numbers of abelian varieties in such relations.Comment: 50 pages; minor corrections; final version, to appear in Invent. Mat

ac-Field-Controlled Anderson Localization in Disordered Semiconductor Superlattices

An ac field, tuned exactly to resonance with the Stark ladder in an ideal tight binding lattice under strong dc bias, counteracts Wannier-Stark localization and leads to the emergence of extended Floquet states. If there is random disorder, these states localize. The localization lengths depend non-monotonically on the ac field amplitude and become essentially zero at certain parameters. This effect is of possible relevance for characterizing the quality of superlattice samples, and for performing experiments on Anderson localization in systems with well-defined disorder.Comment: 10 pages, Latex; figures available on request from [email protected]

The Similarity Hypothesis in General Relativity

Self-similar models are important in general relativity and other fundamental theories. In this paper we shall discuss the ``similarity hypothesis'', which asserts that under a variety of physical circumstances solutions of these theories will naturally evolve to a self-similar form. We will find there is good evidence for this in the context of both spatially homogenous and inhomogeneous cosmological models, although in some cases the self-similar model is only an intermediate attractor. There are also a wide variety of situations, including critical pheneomena, in which spherically symmetric models tend towards self-similarity. However, this does not happen in all cases and it is it is important to understand the prerequisites for the conjecture.Comment: to be submitted to Gen. Rel. Gra

On the statistical significance of the conductance quantization

Recent experiments on atomic-scale metallic contacts have shown that the quantization of the conductance appears clearly only after the average of the experimental results. Motivated by these results we have analyzed a simplified model system in which a narrow neck is randomly coupled to wide ideal leads, both in absence and presence of time reversal invariance. Based on Random Matrix Theory we study analytically the probability distribution for the conductance of such system. As the width of the leads increases the distribution for the conductance becomes sharply peaked close to an integer multiple of the quantum of conductance. Our results suggest a possible statistical origin of conductance quantization in atomic-scale metallic contacts.Comment: 4 pages, Tex and 3 figures. To be published in PR

Modelling caregiving interactions during stress

Few studies describing caregiver stress and coping have focused on the effects of informal caregiving for depressed care recipients.The major purpose of this paper was to investigate the dynamics of the informal care support and receipt interactions among caregivers and care recipients using a computational modelling approach.Important concepts in coping skills, strong ties support networks and stress buffering studies were used as a basis for the model design and verification.Simulation experiments for several cases pointed out that the model is able to reproduce interaction among strong tie network members during stress.In addition, the possible equillibria of the model have been determined, and the model has been automatically verified against expected overall properties

Modelling caregiving interactions during stress

Few studies describing caregiver stress and coping have focused on the effects of informal caregiving for depressed care recipients.The major purpose of this paper was to investigate the dynamics of the informal care support and receipt interactions among caregivers and care recipients using a computational modelling approach.Important concepts in coping skills, strong ties support networks and stress buffering studies were used as a basis for the model design and verification.Simulation experiments for several cases pointed out that the model is able to reproduce interaction among strong tie network members during stress.In addition, the possible equillibria of the model have been determined, and the model has been automatically verified against expected overall properties

Determination of the Strange Quark Content of the Nucleon from a Next-to-Leading-Order QCD Analysis of Neutrino Charm Production

We present the first next-to-leading-order QCD analysis of neutrino charm production, using a sample of 6090 $\nu_\mu$- and $\bar\nu_\mu$-induced opposite-sign dimuon events observed in the CCFR detector at the Fermilab Tevatron. We find that the nucleon strange quark content is suppressed with respect to the non-strange sea quarks by a factor \kappa = 0.477 \: ^{+\:0.063}_{-\:0.053}, where the error includes statistical, systematic and QCD scale uncertainties. In contrast to previous leading order analyses, we find that the strange sea $x$-dependence is similar to that of the non-strange sea, and that the measured charm quark mass, $m_c = 1.70 \pm 0.19 \:{\rm GeV/c}^2$, is larger and consistent with that determined in other processes. Further analysis finds that the difference in $x$-distributions between $xs(x)$ and $x\bar s(x)$ is small. A measurement of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cd}|=0.232 ^{+\:0.018}_{-\:0.020}$ is also presented. uufile containing compressed postscript files of five Figures is appended at the end of the LaTeX source.Comment: Nevis R#150

Maintenance and refurbishment planning for a group of bridges

During the service, highway overpasses are exposed to various deterioration processes. The rate of these unavoidable processes depends on intensity of usage, weather influences and maintenance level. If maintenance works are not planned and executed in an adequate manner, the performance of the structures under consideration reduces. Planning an optimum set of intervention measures on the level of a group of structures is a complex task that is often left to subjective, partial decisions of managers that have to take int the account also financial limitations.\ud A group of 27 highway overpasses, spanning over the highway section under consideration, was analysed. A multi-criteria model for the selection of bridges that should have priority in the refurbishment process was developed. Condition rating data were collected from the periodic check\ud reports and and structured appropriately. Key criteria that need to be taken into the account were identified: condition ration of the whole structure, age of the pass, possibility of joining the works on a string of passes, indirect cost influence, refurbishment cost for a structure and deterioraton rate of the structure. Relative importance among these citeria was determined by using Analytical Hierarchy Method (AHP). On this basis, a multi-criteria model to be used for the selection of a set of structures\ud that have refurbishment priority in the case of limited financial contribution was developed. Refurbishment priority was identified for a group of structures that have, as a whole, a maximum overall benefit with respect to the selected criteria and their relative importance. Further, the analysis of the influence of the financial constraint magnitude upon the selection of structures to be repaired and the accompanying benefits ( that can facilitate the decision of the decision-makers' side) was carried out. The obtained results show that the proposed model can serve as an efficient tool used in rational selection of group of structures yielding the maximum overall benefit, and in analysis of possibilitie that lead to additional benefit with minimum financial input