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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

In this paper, we perform a detailed study of the scaling properties of a ferromagnetic thin film model. Recently, interest has increased in the scaling properties of the magnetic domain wall (MDW) motion in disordered media when an…

Disordered Systems and Neural Networks · Physics 2015-10-20 Marcos F. Torres , Rubén C. Buceta

Many complex systems respond to a continuous input of energy by an accumulation of stress over time, interrupted by sudden energy releases called avalanches. Recently, it has been pointed out that several basic features of avalanche…

Statistical Mechanics · Physics 2015-08-17 Francois P. Landes

Front propagation in a random environment is studied close to the depinning threshold. At zero temperature we show that the depinning force distribution exhibits a universal behavior. This property is used to estimate the velocity of the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Rune Skoe , Damien Vandembroucq , Stephane Roux

We consider the dynamics and kinetic roughening of wetting fronts in the case of forced wetting driven by a constant mass flux into a 2D disordered medium. We employ a coarse-grained phase field model with local conservation of density,…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Laurila , C. Tong , I. Huopaniemi , S. Majaniemi , T. Ala-Nissila

Using time-dependent linear perturbation theory, we evaluate the dynamical friction force on a massive perturber M_p traveling at velocity V through a uniform gaseous medium of density rho_0 and sound speed c_s. This drag force acts in the…

Astrophysics · Physics 2009-10-31 Eve C. Ostriker

The dynamical critical behavior of a single directed line driven in a random medium near the depinning threshold is studied both analytically (by renormalization group) and numerically, in the context of a Flux Line in a Type-II…

Condensed Matter · Physics 2009-10-28 Deniz Ertas , Mehran Kardar

We study the pinning phase transition for discrete surface dynamics in random environments. A renormalization procedure is devised to prove that the interface moves with positive velocity under a finite size condition. This condition is…

Probability · Mathematics 2019-12-06 Thierry Bodineau , Augusto Teixeira

A perturbed system relaxes towards an equilibrium given by a minimum in the potential energy landscape. This often occurs by thermally activated jumps over metastable states. The corresponding dynamics is named creep and follows Arrhenius'…

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…

Soft Condensed Matter · Physics 2016-11-15 D. Belardinelli , M. Sbragaglia , M. Gross , B. Andreotti

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…

Disordered Systems and Neural Networks · Physics 2010-11-30 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

We study the forced fluid invasion of an air-filled model porous medium at constant flow rate, in 1+1 dimensions, both experimentally and theoretically. We focus on the non-local character of the interface dynamics, due to liquid…

Condensed Matter · Physics 2009-11-07 A. Hernandez-Machado , J. Soriano , A. M. Lacasta , M. A. Rodriguez , L. Ramirez-Piscina , J. Ortin

Frictional interfaces are abundant in natural and manmade systems and their dynamics still pose challenges of fundamental and technological importance. A recent extensive compilation of multiple-source experimental data has revealed that…

Materials Science · Physics 2015-01-20 Yohai Bar-Sinai , Robert Spatschek , Efim A. Brener , Eran Bouchbinder

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , M. Alava

We review our studies of elastic lattices driven by an external force $F$ in the presence of random disorder, which correspond to the case of vortices in superconducting thin films driven by external currents. Above a critical force $F_c$…

Superconductivity · Physics 2016-08-16 Alejandro B. Kolton , Daniel Domínguez

In this thesis I discuss analytical approaches to disordered systems using field theory. Disordered systems are characterized by a random energy landscape due to heterogeneities, which remains fixed on the time scales of the phenomena…

Disordered Systems and Neural Networks · Physics 2013-12-30 Alexander Dobrinevski

The thermal rounding of the depinning transition of an elastic interface sliding on a washboard potential is studied through analytic arguments and very accurate numerical simulations. We confirm the standard view that well below the…

Disordered Systems and Neural Networks · Physics 2020-11-23 A. B. Kolton , E. A. Jagla

We present a comparative analysis of the velocity dependence of atomic-scale friction for the Tomlinson model, at zero and finite temperatures, in 1D and 2D, and for different values of the damping. Combining analytical arguments with…

Other Condensed Matter · Physics 2009-11-11 C. Fusco , A. Fasolino

The ultra-low kinetic friction F_k of 2D structurally superlubric interfaces, connected with the fast motion of the incommensurate moir\'e pattern, is often invoked for its linear increase with velocity v_0 and area A, but never seriously…

Materials Science · Physics 2023-12-18 Jin Wang , Ming Ma , Erio Tosatti

We analyze the continuum limit of a thresholding algorithm for motion by mean curvature of one dimensional interfaces in various space-time discrete regimes. The algorithm can be viewed as a time-splitting scheme for the Allen-Cahn equation…

Analysis of PDEs · Mathematics 2014-11-04 Oleksandr Misiats , Nung Kwan Yip