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This work justifies the paradigmatic importance of viscoelastic subdiffusion in random environments for cellular biological systems. This model displays several remarkable features, which makes it an attractive paradigm to explain the…

Statistical Mechanics · Physics 2021-02-02 Igor Goychuk , Thorsten Pöschel

We analyze the vortex dynamics in superconducting thin films with a periodic array of pinning centers. In particular, we study the effect of anisotropy for a Kagom\'e pinning network when longitudinal and transverse transport currents are…

Superconductivity · Physics 2011-12-22 R. P. Simões , P. A. Venegas , D. F. Mello

Using a simple cellular automaton with stochastic rules we show the possible emergence of thermally activated avalanches (power law distributed) in type-II superconductors. Scaling relations between the exponents characterizing these…

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

A variety of soft and hard condensed matter systems are known to form stripe patterns. Here we use numerical simulations to analyze how such stripe states depin and slide when interacting with a random substrate and with driving in…

Soft Condensed Matter · Physics 2015-05-20 C. J. Olson Reichhardt , C. Reichhardt , A. R. Bishop

We investigate flux front penetration in a disordered type II superconductor by molecular dynamics (MD) simulations of interacting vortices and find scaling laws for the front position and the density profile. The scaling can be understood…

Superconductivity · Physics 2009-11-07 Stefano Zapperi , Andre A. Moreira , Jose S. Andrade

Electronic transport properties of the disordered quantum wires are considered. The disorder is introduced via impurities (point scatterers), distributed uniformly over the two-dimensional strip, which represents a model quantum wire.…

Mesoscale and Nanoscale Physics · Physics 2014-12-31 Robert Gębarowski

Using molecular dynamics simulations, we report a study of the dynamics of two-dimensional vortex lattices driven over a disordered medium. In strong disorder, when topological order is lost, we show that the depinning transition is…

Disordered Systems and Neural Networks · Physics 2010-10-25 Y. Fily , E. Olive , N. Di Scala , J. C. Soret

The dynamics of quantized magnetic vortices and their pinning by materials defects determine electromagnetic properties of superconductors, particularly their ability to carry non-dissipative currents. Despite recent advances in the…

We use a simple model to study the long time fluctuations induced by random pinning on the motion of driven non--interacting vortices. We find that vortex motion seen from the co--moving frame is diffusive and anisotropic, with velocity…

Disordered Systems and Neural Networks · Physics 2016-08-31 Alejandro B. Kolton

In this letter, we investigate the statistical properties of electromagnetic signals after different times of duration within one-dimensional local-disordered time-varying cavities, where both spatial and temporal disorders are added. Our…

Disordered Systems and Neural Networks · Physics 2024-08-01 Bo Zhou , Xingsong Feng , Xianmin Guo , Fei Gao , Hongsheng Chen , Zuojia Wang

We study the depinning transition of a driven chain-like system in the presence of frustration and quenched disorder. The analysis is motivated by recent transport experiments on artificial vortex-flow channels in superconducting thin…

Superconductivity · Physics 2009-11-07 T. Droese , R. Besseling , P. Kes , C. Morais Smith

Recent advances in vortex imaging allow for tracing the position of individual vortices with high resolution. Pushing an isolated vortex through the sample with the help of a controlled $dc$ transport current and measuring its local $ac$…

Superconductivity · Physics 2023-01-23 Roland Willa , Vadim B. Geshkenbein , Gianni Blatter

We examine vortex flow states in periodic square pinning arrays with one row and one column of pinning sites removed to create an easy flow crossed channel geometry. When a drive is simultaneously applied along both major symmetry axes of…

Superconductivity · Physics 2015-05-13 C. J. Olson Reichhardt , C. Reichhardt

We investigate the dynamic behavior of spin reversal events in the dilute Ising model, focusing on the influence of static disorder introduced by pinned spins. Our Monte Carlo simulations reveal that in a homogeneous, defect-free system,…

Statistical Mechanics · Physics 2025-03-07 Federico Ettori , Timothy J. Sluckin , Paolo Biscari

Recently it was discovered that the non-uniform Meissner current flowing around the pinning sites in the type-II superconductor induces the unconventional vortex-antivortex pairs with the non-quantized magnetic flux [J.-Y. Ge, et al., Nat.…

Superconductivity · Physics 2016-06-06 S. Mironov , Zh. Devizorova , A. Clergerie , A. Buzdin

The distribution function of local amplitudes of single-particle states in disordered conductors is calculated on the basis of the supersymmetric $\sigma$-model approach using a saddle-point solution of its reduced version. Although the…

Condensed Matter · Physics 2009-10-28 Vladimir I. Fal'ko , K. Efetov

We study the pinning transition in a (1+1)-dimensional lattice model of a fluctuating interface interacting with a corrugated impenetrable wall. The interface is modeled as an $N$-step directed one-dimensional random walk on the half-line…

Statistical Mechanics · Physics 2026-01-06 Ruijie Xu , Sergei Nechaev

Order-disorder transitions take place in many physical systems, but observing them in detail in real materials is difficult. In two- or quasi-two-dimensional systems, the transition has been studied by computer simulations and…

Superconductivity · Physics 2015-04-14 M. Zehetmayer

The effect of morphologic factors on magnetic flux dynamics and critical currents in percolative superconducting structures is considered. The superconductor contains the fractal clusters of a normal phase, which act as pinning centers. The…

Superconductivity · Physics 2009-11-07 Yuriy I. Kuzmin

We determine analytically the distribution of conductances of quasi one-dimensional disordered electron systems, neglecting electron-electron interaction, for all strengths of disorder. We find that in the crossover region between the…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 P. Woelfle , K. A. Muttalib