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Artículo

Nonsteady relaxation and critical exponents at the depinning transition

Ferrero, Ezequiel E.Icon ; Bustingorry, SebastiánIcon ; Kolton, Alejandro BenedyktIcon
Fecha de publicación: 11/03/2013
Editorial: American Physical Society
Revista: Physical Review E: Statistical, Nonlinear and Soft Matter Physics
ISSN: 1539-3755
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Física de los Materiales Condensados

Resumen

We study the nonsteady relaxation of a driven one-dimensional elastic interface at the depinning transition by extensive numerical simulations concurrently implemented on graphics processing units. We compute the time-dependent velocity and roughness as the interface relaxes from a flat initial configuration at the thermodynamic random-manifold critical force. Above a first, nonuniversal microscopic time regime, we find a nontrivial long crossover towards the nonsteady macroscopic critical regime. This “mesoscopic” time regime is robust under changes of the microscopic disorder, including its random-bond or random-field character, and can be fairly described as power-law corrections to the asymptotic scaling forms, yielding the true critical exponents. In order to avoid fitting effective exponents with a systematic bias we implement a practical criterion of consistency and perform large-scale ( L ≃ 2 25 ) simulations for the nonsteady dynamics of the continuum displacement quenched Edwards-Wilkinson equation, getting accurate and consistent depinning exponents for this class: β = 0.245 ± 0.006 , z = 1.433 ± 0.007 , ζ = 1.250 ± 0.005 , and ν = 1.333 ± 0.007 . Our study may explain numerical discrepancies (as large as 30 % for the velocity exponent β ) found in the literature. It might also be relevant for the analysis of experimental protocols with driven interfaces keeping a long-term memory of the initial condition.
Palabras clave: Disorder , Depinning , Short Time Dynamics , Critical Exponents
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/21933
DOI: http://dx.doi.org/10.1103/PhysRevE.87.032122
URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.032122
URL: https://arxiv.org/abs/1211.7275
Colecciones
Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
Ferrero, Ezequiel E.; Bustingorry, Sebastián; Kolton, Alejandro Benedykt; Nonsteady relaxation and critical exponents at the depinning transition; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 87; 3; 11-3-2013; 1-14
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