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We study the creep dynamics of a two-dimensional interface driven through a periodic potential using dynamical renormalization group methods. We find that the nature of weak-drive transport depends qualitatively on whether the temperature…

Statistical Mechanics · Physics 2009-11-07 A. M. Ettouhami , Leo Radzihovsky

The response of spatially extended systems to a force leading their steady state out of equilibrium is strongly affected by the presence of disorder. We focus on the mean velocity induced by a constant force applied on one-dimensional…

Elastic systems driven in a disordered medium exhibit a depinning transition at zero temperature and a creep regime at finite temperature and slow drive $f$. We derive functional renormalization group equations which allow to describe in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Pascal Chauve , Thierry Giamarchi , Pierre Le Doussal

The movement of a purely elastic interface driven on a disordered energy potential is characterized by a depinning transition: when the pulling force S is larger than some critical value S_1 the system is in a flowing regime and moves at a…

Statistical Mechanics · Physics 2015-06-17 E. A. Jagla

The dynamics of a driven interface in a medium with random pinning forces is analyzed. The interface undergoes a depinning transition where the order parameter is the interface velocity $v$, which increases as $v \sim (F-F_c)^\theta$ for…

Condensed Matter · Physics 2009-10-28 Heiko Leschhorn , Thomas Nattermann , Semjon Stepanow , Lei-Han Tang

The motion of driven interfaces in random media at finite temperature $T$ and small external force $F$ is usually described by a linear displacement $h_G(t) \sim V(F,T) t$ at large times, where the velocity vanishes according to the creep…

Disordered Systems and Neural Networks · Physics 2008-11-04 Cecile Monthus , Thomas Garel

We investigate interface motion in disordered ferromagnets by means of Monte Carlo simulations. For small temperatures and driving fields a so-called creep regime is found and the interface velocity obeys an Arrhenius law. We analyze the…

Statistical Mechanics · Physics 2009-11-07 L. Roters , S. Lubeck , K. D. Usadel

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be…

Condensed Matter · Physics 2009-10-22 Heiko Leschhorn

We analyze numerically a moving interface in the random-field Ising model which is driven by a magnetic field. Without thermal fluctuations the system displays a depinning phase transition, i.e., the interface is pinned below a certain…

Statistical Mechanics · Physics 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

We have studied numerically the dynamics of a driven elastic interface in a random medium, focusing on the thermal rounding of the depinning transition and on the behavior in the $T=0$ pinned phase. Thermal effects are quantitatively more…

Condensed Matter · Physics 2009-10-22 Lee-Wen Chen , M. Cristina Marchetti

Plenty of research on elastic interfaces has been done on systems where the interface is pushed with a constant force. We studied the average velocity of an interface under a sinusoidal driving in the creep region, considering both…

Statistical Mechanics · Physics 2023-03-28 Juha Savolainen , Mikko Alava

The thermally activated creep motion of an elastic interface weakly driven on a disordered landscape is one of the best examples of glassy universal dynamics. Its understanding has evolved over the last 30 years thanks to a fruitful…

Disordered Systems and Neural Networks · Physics 2021-03-15 Ezequiel E. Ferrero , Laura Foini , Thierry Giamarchi , Alejandro B. Kolton , Alberto Rosso

The dynamics of an elastic medium driven through a random medium by a small applied force is investigated in the low-temperature limit where quantum fluctuations dominate. The motion proceeds via tunneling of segments of the manifold…

Disordered Systems and Neural Networks · Physics 2009-11-07 Denis A. Gorokhov , Daniel S. Fisher , Gianni Blatter

We simulated the creep motions of flux lines subject to randomly distributed point-like pinning centers. It is found that at low temperatures, the pinning barrier $U$ defined in the Arrhenius-type $v-F$ characteristics increases with…

Superconductivity · Physics 2009-02-06 Meng-Bo Luo , Xiao Hu , Valerii Vinokur

We consider numerically the depinning transition in the random-field Ising model. Our analysis reveals that the three and four dimensional model displays a simple scaling behavior whereas the five dimensional scaling behavior is affected by…

Statistical Mechanics · Physics 2007-05-23 L. Roters , S. Lubeck , K. D. Usadel

We performed Langevin dynamics simulations for the \textit{ac} driven flux lines in a type II superconductor with random point-like pinning centers. Scaling properties of flux-line velocity with respect to instantaneous driving force of…

Superconductivity · Physics 2011-04-28 W. -P. Cao , M. -B. Luo , X. Hu

We review in these notes some dynamical properties of interfaces in random media submitted to an external force. We focuss in particular to the response to a very small force (so called creep motion) and discuss various theoretical aspects…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Giamarchi , A. B. Kolton , A. Rosso

We study the pinning-depinning phase transition of interfaces in the quenched Kardar-Parisi-Zhang model as the external driving force $F$ goes towards zero. For a fixed value of the driving force we induce depinning by increasing the…

Condensed Matter · Physics 2009-11-07 JJ Ramasco , JM Lopez , MA Rodriguez

We present a subcritical fracture growth model, coupled with the elastic redistribution of the acting mechanical stress along rugous rupture fronts. We show the ability of this model to quantitatively reproduce the intermittent dynamics of…

We study the steady state of driven elastic strings in disordered media below the depinning threshold. In the low-temperature limit, for a fixed sample, the steady state is dominated by a single configuration, which we determine exactly…

Disordered Systems and Neural Networks · Physics 2009-05-29 Alejandro B. Kolton , Alberto Rosso , Thierry Giamarchi , Werner Krauth
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