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We consider dislocations in a vortex lattice that is driven in a two-dimensional superconductor with random impurities. The structure and dynamics of dislocations is studied in this genuine nonequilibrium situation on the basis of a…

Statistical Mechanics · Physics 2009-10-31 Igor S. Aranson , Stefan Scheidl , Valerii M. Vinokur

We review in these notes the dynamics of extended condensed matter systesm, such as vortex lattices in type-II superconductors and charge density waves in anisotropic metals, driven over quenched disorder. We focus in particular on the case…

Soft Condensed Matter · Physics 2015-06-25 M. Cristina Marchetti

We consider the non--equilibrium steady states of a driven charge density wave in the presence of impurities and noise. In three dimensions at strong drive, a true dynamical phase transition into a temporally periodic state with…

Condensed Matter · Physics 2009-10-28 Leon Balents , Matthew P. A. Fisher

We study the equilibrium statics and nonequilibrium driven dynamics of flux line liquids in presence of a random pinning potential. Under the assumption of replica symmetry, we find in the static case using a replica Gaussian variational…

Statistical Mechanics · Physics 2007-05-23 A. M. Ettouhami

Using Langevin dynamics, we have investigated the dynamics of vortices in a disordered two dimensional superconductor subjected to a uniform driving current. The results provide direct numerical evidence for a dynamical phase transition…

Condensed Matter · Physics 2009-10-28 Seungoh Ryu , M. Hellerqvist , S. Doniach , A. Kapitulnik , D. Stroud

We study the dynamics of vortices in a two-dimensional, non-equilibrium system, described by the compact Kardar-Parisi-Zhang equation, after a sudden quench across the critical region. Our exact numerical solution of the phase-ordering…

Statistical Mechanics · Physics 2021-01-04 A. Zamora , N. Lad , M. H. Szymanska

We study periodic lattices, such as vortex lattices, driven by an external force in a random pinning potential. We show that effects of static disorder persist even at large velocity. It results in a novel moving glass state with…

Condensed Matter · Physics 2009-10-28 Thierry Giamarchi , Pierre Le Doussal

We present numerical simulation results of driven vortex lattices in presence of random disorder at zero temperature. We show that the plastic dynamics is readily understood in the framework of chaos theory. Intermittency "routes to chaos"…

Superconductivity · Physics 2009-11-11 E. Olive , J. C. Soret

We investigate the steady state phase diagram of two-component driven open condensates in one dimension. We identify a miscible-immiscible transition which is predominantly driven by gapped density fluctuations and occurs upon increasing…

Statistical Mechanics · Physics 2017-12-06 Liang He , Sebastian Diehl

The deposition dynamics of particles (or the growth of a rigid crystal) on a disordered substrate at a finite deposition rate is explored. We begin with an equation of motion which includes, in addition to the disorder, the periodic…

Condensed Matter · Physics 2009-10-22 Yan-Chr Tsai , Yonathan Shapir

We review the depinning and nonequilibrium phases of collectively interacting particle systems driven over random or periodic substrates. This type of system is relevant to vortices in type-II superconductors, sliding charge density waves,…

Superconductivity · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

The new dynamic phase diagram for driven vortices with varying lattice softness we present here indicates that, at high driving currents, at least two distinct dynamic phases of flux flow appear depending on the vortex-vortex interaction…

Superconductivity · Physics 2009-10-31 C. J. Olson , C. Reichhardt , Franco Nori

The steady sliding state of periodic structures such as charge density waves and flux line lattices is numerically studied based on two and three dimensional driven random field XY models. We focus on the dynamical phase transition between…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tomoaki Nogawa , Hajime Yoshino , Hiroshi Matsukawa

We find a first order transition driven by the strength of non-equilibrium conditions of one-dimensional driven open condensates. Associated with this transition is a new stable non-equilibrium phase, space-time vortex turbulence, whose…

Statistical Mechanics · Physics 2017-03-01 Liang He , Lukas M. Sieberer , Sebastian Diehl

We present results from extensive simulations of driven vortex lattices interacting with periodic arrays of pinning sites. Changing an applied driving force produces a rich variety of novel dynamical plastic flow phases which are very…

Superconductivity · Physics 2009-10-30 C. Reichhardt , C. J. Olson , Franco Nori

We examine here various aspects of the statics and dynamics of disordered elastic systems such as manifolds and periodic systems. Although these objects look very similar and indeed share some underlying physics, periodic systems constitute…

Disordered Systems and Neural Networks · Physics 2008-02-03 Thierry Giamarchi , Pierre Le Doussal

We study a lattice model of a three-dimensional periodic elastic medium at zero temperature with exact combinatorial optimization methods. A competition between pinning of the elastic medium, representing magnetic flux lines in the mixed…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jae Dong Noh , Heiko Rieger

Depinning and nonequilibrium transitions within sliding states in systems driven over quenched disorder arise across a wide spectrum of size scales ranging from atomic friction at the nanoscale, flux motion in type-II superconductors at the…

Soft Condensed Matter · Physics 2017-03-22 Cs. Sándor , A. Libál , C. Reichhardt , C. J. Olson Reichhardt

We investigate the non-equilibrium stationary state of a translationally invariant one-dimensional driven lattice gas with short-range interactions. The phase diagram is found to exhibit a line of continuous transitions from a disordered…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , David Mukamel , Gunter M. Schutz

We review our studies of elastic lattices driven by an external force $F$ in the presence of random disorder, which correspond to the case of vortices in superconducting thin films driven by external currents. Above a critical force $F_c$…

Superconductivity · Physics 2016-08-16 Alejandro B. Kolton , Daniel Domínguez
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