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In these lectures, a variety of non-equilibrium transport phenomena are introduced that all involve, in some way, elastic manifolds being driven through random media. A simple class of models is studied focussing on the behavior near to the…

Condensed Matter · Physics 2015-06-25 D. S. Fisher

In this paper, we consider a simplified model of turbulence for large Reynolds numbers driven by a constant power energy input on large scales. In the statistical stationary regime, the behaviour of the kinetic energy is characterised by…

Soft Condensed Matter · Physics 2022-02-16 Roberto Benzi , Ilaria Castaldi , Federico Toschi , Jeannot Trampert

In this work the robustness of a simple cellular automaton developed by Bassler and Paczuski to describe the critical state in type-II superconductors is studied. Two different configurations of pinning centers are introduced and a new…

Condensed Matter · Physics 2007-05-23 R. Cruz , R. Mulet , E. Altshuler

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

\\A simple model for a superconductor with tunable critical current is studied theoretically. The model consists of a thin superconducting film with one vortex interacting with one magnetic dipole, whose magnetic moment is free to rotate,…

Superconductivity · Physics 2009-11-11 Gilson Carneiro

Quantized circulation, absence of Galilean invariance due to a clamped normal component, and the vortex mutual friction are the major factors that make superfluid turbulence behave in a way different from that in classical fluids. The model…

Soft Condensed Matter · Physics 2009-11-10 N. B. Kopnin

Complex systems close to their critical state can exhibit abrupt transitions, avalanches, between their metastable states. It is a challenging task to understand the mechanism of the avalanches and control their behavior. Here we…

Superconductivity · Physics 2017-10-02 Antonio Lara , Farkhad G. Aliev , Victor V. Moshchalkov , Yuri M. Galperin

We review the use of superconductors as a playground for the experimental study of front roughening and avalanches. Using the magneto-optical technique, the spatial distribution of the vortex density in the sample is monitored as a function…

Statistical Mechanics · Physics 2009-11-11 Rinke J. Wijngaarden , Marco S. Welling , Christof M. Aegerter , Mariela Menghini

Exotic vortex states with long range attraction and short range repulsion have recently been proposed to arise in superconducting hybrid structures and multi-band superconductors. Using large scale simulations we examine the static and…

Superconductivity · Physics 2015-06-05 J. A. Drocco , C. J. Olson Reichhardt , C. Reichhardt , A. R. Bishop

The dynamics of the avalanche width in the evolution model is described using a random walk picture. In this approach the critical exponents for avalanche distribution, $\tau$, and avalanche average time, $\gamma$, are found to be the same…

Condensed Matter · Physics 2008-02-03 L. Anton

Using scanning susceptibility microscopy, we shed new light on the dynamics of individual superconducting vortices and examine the hypotheses of the phenomenological models traditionally used to explain the macroscopic ac electromagnetic…

We introduce a model describing vortices in strongly disordered three-dimensional superconductors. The model focuses on the topological defects, i.e., dislocation lines, in an elastic description of the vortex lattice. The model is studied…

Superconductivity · Physics 2009-11-10 Jack Lidmar

In 1993 Tang proposed [1] that vortex avalanches should produce a self organized critical state in superconductors, but conclusive evidence for this has heretofore been lacking. In the present paper, we report extensive micro-Hall probe…

Superconductivity · Physics 2013-05-29 E. Altshuler , T. H. Johansen , Y. Paltiel , Peng Jin , K. E. Bassler , O. Ramos , G. F. Reiter , E. Zeldov , C. W. Chu

We study avalanches along the hysteresis loop of long-range interacting spin-glasses with continuous XY-symmetry - which serves as a toy model of granular superconductors with long-range and frustrated Josephson couplings. We identify…

Disordered Systems and Neural Networks · Physics 2015-06-22 Auditya Sharma , Alexei Andreanov , Markus Mueller

We report on the computer study of a lattice system that relaxes from a metastable state. Under appropriate nonequilibrium randomness, relaxation occurs by avalanches, i.e., the model evolution is discontinuous and displays many scales in a…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. I. Hurtado , J. Marro , P. L. Garrido

The pinning and collective unpinning of superfluid vortices in a decelerating container is a key element of the canonical model of neutron star glitches and laboratory spin-down experiments with helium II. Here the dynamics of vortex…

Other Condensed Matter · Physics 2012-03-26 L. Warszawski , A. Melatos , N. Berloff

We analyze the scaling of the crack roughness and of avalanche precursors in the two dimensional random fuse model by numerical simulations, employing large system sizes and extensive sample averaging. We find that the crack roughness…

Statistical Mechanics · Physics 2009-11-10 Stefano Zapperi , Phani Kumar V. V. Nukala , Srdan Simunovic

Crystalline plasticity is strongly interlinked with dislocation mechanics and nowadays is relatively well understood. Concepts and physical models of plastic deformation in amorphous materials on the other hand - where the concept of linear…

Soft Condensed Matter · Physics 2015-02-12 Stefan Sandfeld , Zoe Budrikis , Stefano Zapperi , David Fernandez Castellanos

Avalanche dynamics is found in many phenomena spanning from earthquakes to the evolution of species. It can be also found in vortex matter when a type II superconductor is externally driven, for example, by increasing the magnetic field.…

Superconductivity · Physics 2009-11-10 E. Altshuler , T. H. Johansen

Stress accumulation-relaxation meta-models of pulsar glitches make precise, microphysics-agnostic predictions of long-term glitch statistics, which can be falsified by existing and future timing data. Previous meta-models assume that…

High Energy Astrophysical Phenomena · Physics 2021-08-18 Julian B. Carlin , Andrew Melatos