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We study the relaxation of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the equilibrated…

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

We study the non--equilibrium motion of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro Kolton , Alberto Rosso , Thierry Giamarchi

We study the steady-state low-temperature dynamics of an elastic line in a disordered medium below the depinning threshold. Analogously to the equilibrium dynamics, in the limit T->0, the steady state is dominated by a single configuration…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Thierry Giamarchi , Werner Krauth

We investigate numerically the relaxation dynamics of an elastic string in two-dimensional random media by thermal fluctuations starting from a flat configuration. Measuring spatial fluctuations of its mean position, we find that the…

Statistical Mechanics · Physics 2015-05-14 Jae Dong Noh , Hyunggyu Park

We study the non-steady relaxation of a driven one-dimensional elastic interface at the depinning transition by extensive numerical simulations concurrently implemented on graphics processing units (GPUs). We compute the time-dependent…

Statistical Mechanics · Physics 2013-06-03 Ezequiel E. Ferrero , Sebastián Bustingorry , Alejandro B. Kolton

We study the depinning transitions of elastic strings in disordered media in two different cases. We consider the elastic forces to be of infinite range in one case, where the magnitude is proportional to the extension of the string. The…

Statistical Mechanics · Physics 2011-08-09 Soumyajyoti Biswas , Bikas K. Chakrabarti

We perform a high-precision calculation of the critical exponents for the long-range elastic string driven through quenched disorder at the depinning transition, at zero temperature. Large-scale simulations are used to avoid finite-size…

Disordered Systems and Neural Networks · Physics 2007-05-23 Olaf Duemmer , Werner Krauth

Large scale numerical simulations are used to study the elastic dynamics of two-dimensional vortex lattices driven on a disordered medium in the case of weak disorder. We investigate the so-called elastic depinning transition by decreasing…

Statistical Mechanics · Physics 2015-06-12 N. Di Scala , E. Olive , Y. Lansac , Y. Fily , J. C. Soret

We have studied numerically the dynamics of a directed elastic string in a two-dimensional array of quenched random impurities. The string is driven by a constant transverse force and thermal fluctuations are neglected. There is a…

Condensed Matter · Physics 2009-10-22 M. Dong , M. C. Marchetti , A. Alan Middleton , V. Vinokur

We study the evolution of an elastic string into the pinned state at driving forces slightly below the depinning threshold force $F_c$. We quantify the temporal evolution of the string by an {\it activity function} $A(t)$ representing the…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. K. Leaf , S. Obukhov , S. Scheidl , V. M. Vinokur

We study the transversal dynamics of a charged stripe (quantum string) and show that zero temperature quantum fluctuations are able to depin it from the lattice. If the hopping amplitude t is much smaller than the string tension J, the…

Soft Condensed Matter · Physics 2009-10-31 Y. A. Dimashko , C. Morais Smith , N. Hasselmann , A. O. Caldeira

An elastic string embedded in 3D space and subject to a short-range correlated random potential exhibits marginal pinning at high temperatures, with the pinning length $L_c(T)$ becoming exponentially sensitive to temperature. Using a…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. A. Gorokhov , G. Blatter

The pinning-depinning phase transitions of interfaces for two classes of discrete elastic-string models are investigated numerically. In the (1+1)-dimensions, we revisit these two elastic-string models with slight modification to growth…

Statistical Mechanics · Physics 2025-01-31 Yongxin Wu , Hui Xia

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

Statistical Mechanics · Physics 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

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

We study the effect of long-range elastic interactions in the dynamical behavior of an elastic chain driven quasi-statically in a quenched random pinning potential and in the strong pinning limit. This is a generic situation occuring in…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Tanguy , M. Gounelle , S. Roux

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 present work is essentially concerned with the development of statistical theory for the low temperature dislocation glide in concentrated solid solutions where atom-sized obstacles impede plastic flow. In connection with such a…

Statistical Mechanics · Physics 2015-05-13 Laurent Proville

We study the fluctuations of the two-time dependent global roughness of finite size elastic lines in a quenched random environment. We propose a scaling form for the roughness distribution function that accounts for the two-time,…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sebastian Bustingorry , Jose Luis Iguain , Claudio Chamon , Leticia F. Cugliandolo , Daniel Dominguez

We study the effect of rapid quench to zero temperature in a model with competing interactions, evolving through conserved spin dynamics. In a certain regime of model parameters, we find that the model belongs to the broader class of…

Soft Condensed Matter · Physics 2020-08-12 Vaibhav Gupta , Saroj Kumar Nandi , Mustansir Barma
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