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We develop an instanton technique for calculations of correlation functions characterizing statistical behavior of the elastic string in disordered media and apply the proposed approach to correlations of string free energies corresponding…

Soft Condensed Matter · Physics 2009-11-07 Ya. M. Blanter , V. M. Vinokur

We present simulations of flux-gradient-driven superconducting rigid vortices interacting with square and triangular arrays of columnar pinning sites in an increasing external magnetic field. These simulations allow us to quantitatively…

supr-con · Physics 2009-10-30 C. Reichhardt , J. Groth , C. J. Olson , Stuart Field , Franco Nori

We discuss the statistical mechanics of magnetic flux lines in a finite-thickness slab of type-II superconductor. The long wavelength properties of a flux-line liquid in a slab geometry are described by a hydrodynamic free energy that…

Condensed Matter · Physics 2009-10-22 M. C. Marchetti , D. R. Nelson

We study translational correlations of the vortex {\em center of mass} positions of the Abrikosov flux-line lattice in superconducting samples of finite thickness $L$ (along the direction of flux-lines). The Larkin correlation lengths for…

Superconductivity · Physics 2009-09-25 A. M. Ettouhami

The nature of phase boundaries in the QCD phase diagram has not been satisfactorily explored by experiments. Based on the Ginzburg-Landau free energy with a spatially inhomogeneous term as a function of a scalar order parameter, it is…

Nuclear Experiment · Physics 2008-11-26 Kensuke Homma , the PHENIX collaboration

We simulate the ordering of vortices and its effects on the critical current in superconductors with varied vortex-vortex interaction strength and varied pinning strengths for a two-dimensional system. For strong pinning the vortex lattice…

Superconductivity · Physics 2009-10-31 C. J. Olson , C. Reichhardt , S. Bhattacharya

We explore the dynamics of driven magnetic flux lines in disordered type-II superconductors in the presence of twin boundaries oriented parallel to the direction of the applied magnetic field, using a three-dimensional elastic line model…

We study thermal effects on pinning and creep in type-II superconductors where vortices interact with a low density $n_p$ of strong point-like defects with pinning energy $e_p$ and extension $\xi$, the vortex core size. Defects are…

Superconductivity · Physics 2019-07-10 Martin Buchacek , Vadim B. Geshkenbein , Roland Willa , Gianni Blatter

We investigate the pinning and driven dynamics of vortices interacting with twin boundaries using large scale molecular dynamics simulations on samples with near one million pinning sites. For low applied driving forces, the vortex lattice…

Superconductivity · Physics 2016-08-31 C. Reichhardt , C. J. Olson , Franco Nori

Long-range power-law correlated percolation is investigated using Monte Carlo simulations. We obtain several static and dynamic critical exponents as function of the Hurst exponent $H$ which characterizes the degree of spatial correlation…

Statistical Mechanics · Physics 2013-11-05 K. J. Schrenk , N. Pose , J. J. Kranz , L. V. M. van Kessenich , N. A. M. Araujo , H. J. Herrmann

We examine correlation functions in the presence of competing long and short ranged interactions to find multiple correlation and modulation lengths. We calculate the ground state stripe width of an Ising ferromagnet, frustrated by an…

Statistical Mechanics · Physics 2015-02-25 Saurish Chakrabarty , Zohar Nussinov

A two-dimensional Ising model with short-range interactions and mobile defects describing the formation and thermal destruction of defect stripes is studied. In particular, the effect of a local pinning of the defects at the sites of…

Condensed Matter · Physics 2007-05-23 M. Holtschneider , W. Selke

We study dynamical correlation functions in the random-field Heisenberg chain, which probes the relaxation times at different length scales. Firstly, we show that the relaxation time associated with the dynamical imbalance (examining the…

Strongly Correlated Electrons · Physics 2022-02-10 J. Herbrych , M. Mierzejewski , P. Prelovšek

We present Monte Carlo simulations in a modification of the north-or-east-or-front model recently investigated by Berthier and Garrahan [J. Phys. Chem. B 109, 3578 (2005)]. In this coarse-grained model for relaxation in supercooled liquids,…

Soft Condensed Matter · Physics 2009-11-11 Angel J. Moreno , Juan Colmenero

We investigate fluctuations of Josephson-coupled pancake vortices in layered superconductors in the presence of columnar defects. We study the thermodynamics of a single pancake stack pinned by columnar defects and obtain the temperature…

Condensed Matter · Physics 2009-10-28 Alexis E. Koshelev , Pierre Le Doussal , Valerii M. Vinokur

Polymers are an effective test-bed for studying topological constraints in condensed matter due to a wide array of synthetically-available chain topologies. When linear and ring polymers are blended together, emergent rheological properties…

Soft Condensed Matter · Physics 2024-04-25 Daniel L. Vigil , Ting Ge , Michael Rubinstein , Thomas C. O'Connor , Gary S. Grest

We investigate the short-time dynamic relaxation of the two-dimensional XY model in the high temperature phase. Starting from the ordered state, we measure the autocorrelation function and determine the autocorrelation time. It is shown…

Statistical Mechanics · Physics 2009-10-31 Andreas Jaster

We show that the longitudinal current-voltage characteristics of superconductors in mixed state have the general form of extended power law. Isotherms simulated from this nonlinear equation fit the experimental I-V data of Strachan et al. […

Superconductivity · Physics 2007-05-23 X. Hu , L. He , L. Yin , Z. H. Ning , H. Y. Xu , X. L. Xu , J. D. Guo , C. Y. Li , D. L. Yin

We study the two-dimensional Ising model on a network with a novel type of quenched topological (connectivity) disorder. We construct random lattices of constant coordination number and perform large scale Monte Carlo simulations in order…

Statistical Mechanics · Physics 2018-03-07 Manuel Schrauth , Julian A. J. Richter , Jefferson S. E. Portela

Material defects in hard type II superconductors pin the flux lines and thus establish the dissipation-free current transport in the presence of a finite magnetic field. Depending on the density and pinning force of the defects and the…

Superconductivity · Physics 2009-11-10 G. Blatter , V. B. Geshkenbein , J. A. G. Koopmann