514 research outputs found

    Kink-Antikink Unbinding Transition in the Two Dimensional Fully Frustrated XY Model

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    We carry out the first numerical simulations to directly confirm the existence of a kink-antikink unbinding transition, T_w, along Ising-like domain walls in the two dimensional fully frustrated XY model. We comment on the possible implications of kink-antikink unbinding for the bulk phase transitions of the model.Comment: 8 pages, 10 figures - expanded version of original submission as accepted by Phys. Rev. B. Some correction to the analysis lead to an increase in the value of the kink unbinding transition temperatur

    Anamorphic raytracing for synthetic alcove holographic stereograms

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    Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Architecture, 1986.Bibliography: leaves 48-49.by Michael A. Teitel.M.S

    Lattice Gas Dynamics; Application to Driven Vortices in Two Dimensional Superconductors

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    A continuous time Monte Carlo lattice gas dynamics is developed to model driven steady states of vortices in two dimensional superconducting networks. Dramatic differences are found when compared to a simpler Metropolis dynamics. Subtle finite size effects are found at low temperature, with a moving smectic that becomes unstable to an anisotropic liquid on sufficiently large length scales.Comment: 5 pages, 4 figure

    Finite-Size-Scaling at the Jamming Transition: Corrections to Scaling and the Correlation Length Critical Exponent

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    We carry out a finite size scaling analysis of the jamming transition in frictionless bi-disperse soft core disks in two dimensions. We consider two different jamming protocols: (i) quench from random initial positions, and (ii) quasistatic shearing. By considering the fraction of jammed states as a function of packing fraction for systems with different numbers of particles, we determine the spatial correlation length critical exponent ν≈1\nu\approx 1, and show that corrections to scaling are crucial for analyzing the data. We show that earlier numerical results yielding ν<1\nu<1 are due to the improper neglect of these corrections.Comment: 5 pages, 4 figures -- slightly revised version as accepted for Phys. Rev. E Rapid Communication

    Vortex lattce melting in 2D superconductors and Josephson arrays

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    Monte Carlo simulations of 2D vortex lattice melting in a thin superconducting film (or alternatively an array of Josephson junctions) are performed in the London limit. Finite size scaling analyses are used to make a detailed test of the dislocation mediated melting theory of KTNHY. We find that the melting transition is weakly first order, with a jump in the shear modulus very close to that predicted by the KTNHY theory. No hexatic liquid phase is found.Comment: 12 pages, 4 figures (available on request from [email protected]), REVTEX [we revise our conclusion on the order of the melting transition from second to first order - new figure 4 added

    Interpretation of Ultrasonic Scattering Measurements by Various Flaws from Theoretical Studies

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    Let me begin by saying that this is part of a program which is very much complementary to and is helped by the experimental program; so I\u27ll repeat, in part, some of the overview comments that Bruce Thompson made this morning. We\u27ve regarded our role as one of trying to plug into the overall program those aspects of the theory of elastic wave scattering which can be developed in a utilitarian way in terms of modern analytical and computational techniques, in a form which I hope can be useful in signal processing, interpretation, design of experiment, etc. To outline our point of view, I\u27m going to first give a survey of what we have been doing and then give some of the results. It\u27s rather shocking to think of the amount of money that goes into an experimental program and its interpretation, if the interpretation is done in terms of acoustic or scalar wave scattering theories, when the differences from proper elastic theory can be as great as those which Bruce Thompson pointed to this morning
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