Anisotropic finite-size scaling of an elastic string at the depinning threshold in a random-periodic medium

IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY

Papers in Physics Pub Date : 2010-12-20 DOI:10.4279/pip.020008

S. Bustingorry, A. Kolton

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引用次数: 5

Abstract

We numerically study the geometry of a driven elastic string at its sample-dependent depinning threshold in random-periodic media. We find that the anisotropic finite-size scaling of the average square width and of its associated probability distribution are both controlled by the ratio , where is the random-manifold depinning roughness exponent, is the longitudinal size of the string and the transverse periodicity of the random medium. The rescaled average square width displays a non-trivial single minimum for a finite value of . We show that the initial decrease for small reflects the crossover at from the random-periodic to the random-manifold roughness. The increase for very large implies that the increasingly rare critical configurations, accompanying the crossover to Gumbel critical-force statistics, display anomalous roughness properties: a transverse-periodicity scaling in spite that , and subleading corrections to the standard random-manifold longitudinal-size scaling. Our results are relevant to understanding the dimensional crossover from interface to particle depinning. Received: 20 October 2010, Accepted: 1 December 2010; Edited by: A. Vindigni; Reviewed by: A. A. Fedorenko, CNRS-Lab. de Physique, ENS de Lyon, France; DOI: 10.4279/PIP.020008

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随机周期介质中弹性弦在脱羽阈值处的各向异性有限尺寸尺度

本文用数值方法研究了随机周期介质中受驱动弹性弦在样本依赖的脱紧阈值处的几何特性。我们发现平均平方宽度的各向异性有限尺度及其相关的概率分布都由比值控制，其中为随机流形脱孔粗糙度指数，为弦的纵向尺寸和随机介质的横向周期性。重新缩放的平均平方宽度显示有限值的非平凡单个最小值。结果表明，小的初始减小反映了从随机周期到随机流形粗糙度的交叉。非常大的增加意味着越来越罕见的临界构型，伴随着与Gumbel临界力统计的交叉，显示出异常的粗糙度特性:尽管如此，横向周期性标度，以及对标准随机流形纵向尺寸标度的次级修正。我们的结果与理解从界面到粒子脱屑的维度交叉有关。收稿日期:2010年10月20日，收稿日期:2010年12月1日;编辑:A. Vindigni;审稿人:A. A. Fedorenko, CNRS-Lab。de体质，里昂高等教育学院，法国;DOI: 10.4279 / PIP.020008

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来源期刊

Papers in Physics PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.90

自引率

0.00%

发文量

期刊介绍： Papers in Physics publishes original research in all areas of physics and its interface with other subjects. The scope includes, but is not limited to, physics of particles and fields, condensed matter, relativity and gravitation, nuclear physics, physics of fluids, biophysics, econophysics, chemical physics, statistical mechanics, soft condensed matter, materials science, mathematical physics and general physics. Contributions in the areas of foundations of physics, history of physics and physics education are not considered for publication. Articles published in Papers in Physics contain substantial new results and ideas that advance the state of physics in a non-trivial way. Articles are strictly reviewed by specialists prior to publication. Papers in Physics highlights outstanding articles published in the journal through the Editors'' choice section. Papers in Physics offers two distinct editorial treatments to articles from which authors can choose. In Traditional Review, manuscripts are submitted to anonymous reviewers seeking constructive criticism and editors make a decision on whether publication is appropriate. In Open Review, manuscripts are sent to reviewers. If the paper is considered original and technically sound, the article, the reviewer''s comments and the author''s reply are published alongside the names of all involved. This way, Papers in Physics promotes the open discussion of controversies among specialists that are of help to the reader and to the transparency of the editorial process. Moreover, our reviewers receive their due recognition by publishing a recorded citable report. Papers in Physics publishes Commentaries from the reviewer(s) if major disagreements remain after exchange with the authors or if a different insight proposed is considered valuable for the readers.