5,845 research outputs found

    Transcript of My Father’s Heroics

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    This story is an excerpt from a longer interview that was collected as part of the Launching through the Surf: The Dory Fleet of Pacific City project. In this story, Sid Fisher recounts how his father, Walt Fisher, saved him from rolling his dory

    What drives change? A framework to observe and understand broad-­‐ scale change in river basins

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    Development in river basins is strongly influenced by a range of non-­‐random factors, called global drivers. These can present a bewildering array of effects that confound concerted action. This report summarizes these effects with the CPWF’s six basins and presents a method of visualizing them together within a process of scenario visualization

    Scoping exercise on fallers’ clinics : report to the National Co-ordinating Centre for NHS Service Delivery and Organisation R & D (NCCSDO)

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    The National Service Framework for Older People has stated the need for fall-prevention programmes. An appraisal of fallers’ clinics launched by the National Institute for Health and Clinical Excellence (NICE) was suspended because of a lack of information regarding existing services and typology. This project aimed to determine the feasibility of conducting economic modelling to appraise fallers’ clinics. To achieve this a national survey of services and reviews of the evidence of effectiveness of various models of fallers’ clinics and screening tools were undertaken

    Non-Universal Quasi-Long Range Order in the Glassy Phase of Impure Superconductors

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    The structural correlation functions of a weakly disordered Abrikosov lattice are calculated for the first time in a systematic RG-expansion in d=4-\epsilon dimensions. It is shown, that in the asymptotic limit the Abrikosov lattice exhibits still quasi long range translational order described by a non-universal exponent \bar\eta_{\bf G} which depends on the ratio of the renormalized elastic constants \kappa =\tilde c_{66}/\tilde c_{11} of the flux line (FL) lattice. Our calculations show clearly three distinct scaling regimes corresponding to the Larkin, the manifold and the asymptotic Bragg glass regime. On a wide range of intermediate length scales the FL displacement correlation function increases as a power law with twice of the manifold roughness exponent \zeta_{rm}(\kappa), which is also non-universal. Our results, in particular the \kappa-dependence of the exponents, are in variance with those of the variational treatment with replica symmetry breaking which allows in principle an experimental discrimination between the two approaches.Comment: 4 pages, 3 figure

    Nonuniversal Correlations and Crossover Effects in the Bragg-Glass Phase of Impure Superconductors

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    The structural correlation functions of a weakly disordered Abrikosov lattice are calculated in a functional RG-expansion in d=4ϵd=4-\epsilon dimensions. It is shown, that in the asymptotic limit the Abrikosov lattice exhibits still quasi-long-range translational order described by a {\it nonuniversal} exponent ηG\eta_{\bf G} which depends on the ratio of the renormalized elastic constants κ=c66/c11\kappa ={c}_{66}/ {c}_{11} of the flux line (FL) lattice. Our calculations clearly demonstrate three distinct scaling regimes corresponding to the Larkin, the random manifold and the asymptotic Bragg-glass regime. On a wide range of {\it intermediate} length scales the FL displacement correlation function increases as a power law with twice the manifold roughness exponent ζRM(κ)\zeta_{\rm RM}(\kappa) , which is also {\it nonuniversal}. Correlation functions in the asymptotic regime are calculated in their full anisotropic dependencies and various order parameters are examined. Our results, in particular the κ\kappa-dependency of the exponents, are in variance with those of the variational treatment with replica symmetry breaking which allows in principle an experimental discrimination between the two approaches.Comment: 17 pages, 10 figure

    Dynamics of the Wang-Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glass

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    We investigate the performance of flat-histogram methods based on a multicanonical ensemble and the Wang-Landau algorithm for the three-dimensional +/- J spin glass by measuring round-trip times in the energy range between the zero-temperature ground state and the state of highest energy. Strong sample-to-sample variations are found for fixed system size and the distribution of round-trip times follows a fat-tailed Frechet extremal value distribution. Rare events in the fat tails of these distributions corresponding to extremely slowly equilibrating spin glass realizations dominate the calculations of statistical averages. While the typical round-trip time scales exponential as expected for this NP-hard problem, we find that the average round-trip time is no longer well-defined for systems with N >= 8^3 spins. We relate the round-trip times for multicanonical sampling to intrinsic properties of the energy landscape and compare with the numerical effort needed by the genetic Cluster-Exact Approximation to calculate the exact ground state energies. For systems with N >= 8^3 spins the simulation of these rare events becomes increasingly hard. For N >= 14^3 there are samples where the Wang-Landau algorithm fails to find the true ground state within reasonable simulation times. We expect similar behavior for other algorithms based on multicanonical sampling.Comment: 9 pages, 12 figure

    Test of Replica Theory: Thermodynamics of 2D Model Systems with Quenched Disorder

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    We study the statistics of thermodynamic quantities in two related systems with quenched disorder: A (1+1)-dimensional planar lattice of elastic lines in a random potential and the 2-dimensional random bond dimer model. The first system is examined by a replica-symmetric Bethe ansatz (RBA) while the latter is studied numerically by a polynomial algorithm which circumvents slow glassy dynamics. We establish a mapping of the two models which allows for a detailed comparison of RBA predictions and simulations. Over a wide range of disorder strength, the effective lattice stiffness and cumulants of various thermodynamic quantities in both approaches are found to agree excellently. Our comparison provides, for the first time, a detailed quantitative confirmation of the replica approach and renders the planar line lattice a unique testing ground for concepts in random systems.Comment: 16 pages, 14 figure
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