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At finite temperature and in presence of disorder, a one-dimensional elastic interface displays different scaling regimes at small and large lengthscales. Using a replica approach and a Gaussian Variational Method (GVM), we explore the…

无序系统与神经网络 · 物理学 2010-11-30 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

We study the scaling properties of a one-dimensional interface at equilibrium, at finite temperature and in a disordered environment with a finite disorder correlation length. We focus our approach on the scalings of its geometrical…

统计力学 · 物理学 2017-03-01 Elisabeth Agoritsas , Vivien Lecomte

We briefly introduce the generic framework of Disordered Elastic Systems (DES), giving a short `recipe' of a DES modeling and presenting the quantities of interest in order to probe the static and dynamical disorder-induced properties of…

无序系统与神经网络 · 物理学 2012-06-29 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

Self-affine rough interfaces are ubiquitous in experimental systems, and display characteristic scaling properties as a signature of the nature of disorder in their supporting medium, i.e. of the statistical features of its heterogeneities.…

无序系统与神经网络 · 物理学 2021-07-21 Sebastian Bustingorry , Jill Guyonnet , Patrycja Paruch , Elisabeth Agoritsas

We study numerically the geometrical and free-energy fluctuations of a static one-dimensional (1D) interface with a short-range elasticity, submitted to a quenched random-bond Gaussian disorder of finite correlation length $\xi>0$, and at…

无序系统与神经网络 · 物理学 2013-07-30 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

We study the finite size fluctuations at the depinning transition for a one-dimensional elastic interface of size $L$ displacing in a disordered medium of transverse size $M=k L^\zeta$ with periodic boundary conditions, where $\zeta$ is the…

统计力学 · 物理学 2013-12-09 A. B. Kolton , S. Bustingorry , E. E. Ferrero , A. Rosso

We employ a functional renormalization group to study interfaces in the presence of a pinning potential in $d=4-\epsilon$ dimensions. In contrast to a previous approach [D.S. Fisher, Phys. Rev. Lett. {\bf 56}, 1964 (1986)] we use a…

无序系统与神经网络 · 物理学 2007-05-23 Stefan Scheidl , Yusuf Dincer

Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent $\zeta$. We show that at the depinning threshold, due to symmetry breaking caused by the direction of the…

统计力学 · 物理学 2022-10-20 Esko Toivonen , Matti Molkkari , Esa Räsänen , Lasse Laurson

We analyze intermittence and roughening of an elastic interface or domain wall pinned in a periodic potential, in the presence of random-bond disorder in (1+1) and (2+1) dimensions. Though the ensemble average behavior is smooth, the…

统计力学 · 物理学 2009-10-31 E. T. Seppälä , M. J. Alava , P. M. Duxbury

Experimental realizations of a 1D interface always exhibit a finite microscopic width $\xi>0$; its influence is erased by thermal fluctuations at sufficiently high temperatures, but turns out to be a crucial ingredient for the description…

无序系统与神经网络 · 物理学 2013-05-14 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

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…

We study the dynamics of elastic interfaces-membranes-immersed in thermally excited fluids. The work contains three components: the development of a numerical method, a purely theoretical approach, and numerical simulation. In developing a…

软凝聚态物质 · 物理学 2009-10-31 Davide Stelitano , Daniel H. Rothman

The effect of thermal fluctuations near a contact line of a liquid interface partially wetting an impenetrable substrate is studied analytically and numerically. Promoting both the interface profile and the contact line position to random…

软凝聚态物质 · 物理学 2016-11-15 D. Belardinelli , M. Sbragaglia , M. Gross , B. Andreotti

A dry frictional interface loaded in shear often displays stick-slip. The amplitude of this cycle depends on the probability that a microscopic event nucleates a rupture and on the rate at which microscopic events are triggered. The latter…

软凝聚态物质 · 物理学 2024-10-28 Elisa El Sergany , Matthieu Wyart , Tom W. J. de Geus

What happens when the time evolution of a fluctuating interface is interrupted with resetting to a given initial configuration after random time intervals $\tau$ distributed as a power-law $\sim \tau^{-(1+\alpha)};~\alpha > 0$? For an…

统计力学 · 物理学 2016-11-03 Shamik Gupta , Apoorva Nagar

We investigate growing interfaces of topological-defect turbulence in the electroconvection of nematic liquid crystals. The interfaces exhibit self-affine roughening characterized by both spatial and temporal scaling laws of the…

统计力学 · 物理学 2010-06-15 Kazumasa A. Takeuchi , Masaki Sano

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…

统计力学 · 物理学 2013-06-03 Ezequiel E. Ferrero , Sebastián Bustingorry , Alejandro B. Kolton

We analyse by numerical simulations and scaling arguments the avalanche statistics of 1-dimensional elastic interfaces in random media driven at a single point. Both global and local avalanche sizes are power-law distributed, with universal…

无序系统与神经网络 · 物理学 2016-01-28 L. E. Aragón , A. B. Kolton , P. Le Doussal , K. J. Wiese , E. A. Jagla

We study the roughening of $d$-dimensional directed elastic interfaces subject to quenched random forces. As in the Larkin model, random forces are considered constant in the displacement direction and uncorrelated in the perpendicular…

无序系统与神经网络 · 物理学 2019-03-07 V. H. Purrello , J. L. Iguain , A. B. Kolton

Using stability arguments, this Brief Report suggests that a term that enhances the surface tension in the presence of large height fluctuations should be included in the Kardar-Parisi-Zhang equation. A one-loop renormalization group…

统计力学 · 物理学 2009-10-28 Barbara Drossel
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