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Elastic interfaces display scale-invariant geometrical fluctuations at sufficiently large lengthscales. Their asymptotic static roughness then follows a power-law behavior, whose associated exponent provides a robust signature of the…

Disordered Systems and Neural Networks · Physics 2022-05-30 Nirvana Caballero , Thierry Giamarchi , Vivien Lecomte , Elisabeth Agoritsas

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…

Disordered Systems and Neural Networks · Physics 2013-05-14 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

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…

Disordered Systems and Neural Networks · Physics 2013-07-30 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…

Statistical Mechanics · Physics 2017-03-01 Elisabeth Agoritsas , Vivien Lecomte

We study numerically the depinning transition of driven elastic interfaces in a random-periodic medium with localized periodic-correlation peaks in the direction of motion. The analysis of the moving interface geometry reveals the existence…

Disordered Systems and Neural Networks · Physics 2010-10-20 S. Bustingorry , A. B. Kolton , T. Giamarchi

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…

Disordered Systems and Neural Networks · Physics 2012-06-29 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

Frictional properties of interfaces with dynamic chemical bonds have been the subject of intensive experimental investigation and modeling, as it provides important insights into the molecular origin of the empirical rate and state laws,…

Mesoscale and Nanoscale Physics · Physics 2020-01-24 Wengen Ouyang , Yao Cheng , Ming Ma , Michael Urbakh

We study the dynamics of a driven interface in a two-dimensional random-field Ising model close to the depinning transition at small but finite temperatures T using Glauber dynamics. A square lattice is considered with an interface…

Statistical Mechanics · Physics 2009-10-31 U. Nowak , K. D. Usadel

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 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

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 provide a theoretical framework to analyze the properties of frontal collisions of two growing interfaces considering different short range interactions between them. Due to their roughness, the collision events spread in time and form…

Statistical Mechanics · Physics 2019-02-05 Fabio D. A. Aarao Reis , Olivier Pierre-Louis

We consider two-dimensional ($d=2$) systems with short-ranged microscopic interactions, where interface unbinding (wetting) transitions occur in the limit of vanishing temperature $T$. For $T=0$ the transition is characterized by…

Statistical Mechanics · Physics 2015-06-23 Pawel Jakubczyk , Marek Napiórkowski , Federico Benitez

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.…

Disordered Systems and Neural Networks · Physics 2021-07-21 Sebastian Bustingorry , Jill Guyonnet , Patrycja Paruch , Elisabeth Agoritsas

We present an analysis of the relaxation dynamics of finite-size topological qubits in contact with a thermal bath. Using a continuous-time Monte Carlo method, we explicitly compute the low-temperature nonequilibrium dynamics of the toric…

Statistical Mechanics · Physics 2014-12-08 C. Daniel Freeman , C. M. Herdman , Dylan J Gorman , K. B. Whaley

We consider the static properties of periodic structures in weak random disorder. We apply a functional renormalization group approach (FRG) and a Gaussian variational method (GVM) to study their displacement correlations. We focus in…

Statistical Mechanics · Physics 2015-10-05 Laura Foini , Thierry Giamarchi

We analyze the finite-temperature effects on the phase diagram describing the insulating properties of interacting 1D bosons in a quasi-periodic lattice. We examine thermal effects by comparing experimental results to exact diagonalization…

Thermal scaling and relaxation of the interface width in an electrophoretic deposition of polymer chains is examined by a three-dimensional Monte Carlo simulation on a discrete lattice. Variation of the equilibrium interface width $W_r$…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , Ras B. Pandey

We analyze the depinning transition of a driven interface in the 3d random-field Ising model (RFIM) with quenched disorder by means of Monte Carlo simulations. The interface initially built into the system is perpendicular to the…

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

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…

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