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Disordered systems under applied loading display slow creep flows at finite temperature, which can lead to the material rupture. Renormalization group arguments predicted that creep proceeds via thermal avalanches of activated events.…

Disordered Systems and Neural Networks · Physics 2024-01-19 Tom W. J. de Geus , Alberto Rosso , Matthieu Wyart

Sliding at a quasi-statically loaded frictional interface can occur via macroscopic slip events, which nucleate locally before propagating as rupture fronts very similar to fracture. We introduce a novel microscopic model of a frictional…

Disordered Systems and Neural Networks · Physics 2019-12-23 Tom W. J. de Geus , Marko Popović , Wencheng Ji , Alberto Rosso , Matthieu Wyart

We theoretically study the creep of vortex matter in superconductors. The low temperatures experimental phenomenology, previously interpreted in terms of ``quantum tunnelling'' of vortices, is reproduced by Monte Carlo simulations of a…

Condensed Matter · Physics 2009-10-31 Mario Nicodemi , Henrik Jeldtoft Jensen

We report experimental evidences of anomalous kinetic roughening in the stable displacement of an oil-air interface in a Hele-Shaw cell with strong quenched disorder. The disorder consists on a random modulation of the gap spacing…

Disordered Systems and Neural Networks · Physics 2016-08-16 Jordi Soriano , Jordi Ortín , A. Hernández-Machado

We study the physics of turbulent/non-turbulent interface of an isolated turbulent region in dilute polymer solutions and Newtonian fluid. The performance of a FENE-P model with a localized homogeneous forcing is verified using the…

Predicting the future behaviour of complex systems exhibiting critical-like dynamics is often considered to be an intrinsically hard task. Here, we study the predictability of the depinning dynamics of elastic interfaces in random media…

Statistical Mechanics · Physics 2026-02-03 Valtteri Haavisto , Marcin Mińkowski , Lasse Laurson

This paper introduces for the first time the concepts of non-coherent interfaces and microstructure-driven interface forces in the framework of micromorphic elasticity. It is shown that such concepts are of paramount importance when…

Classical Physics · Physics 2024-01-30 L. A. Perez Ramirez , F. Erel-Demore , G. Rizzi , J. Voss , A. Madeo

We investigate the dynamics of interacting magnetic flux lines driven by an external current in the presence of linear pinning centers, arranged either in a periodic square lattice or placed randomly in space, by means of three-dimensional…

Superconductivity · Physics 2007-05-23 Thomas J. Bullard , Jayajit Das , Uwe C. Tauber

Ferroic domain walls are known to display the characteristic scaling properties of self-affine rough interfaces. Different methods have been used to extract roughness information in ferroelectric and ferromagnetic materials. Here, we review…

Disordered Systems and Neural Networks · Physics 2021-07-22 J. Guyonnet , E. Agoritsas , P. Paruch , S. Bustingorry

We study the steady state structure and dynamics of a 2-d Ising interface placed in an inhomogeneous external field with a sigmoidal profile which moves with velocity $v_{e}$. In the strong coupling limit the problem maps onto an…

Soft Condensed Matter · Physics 2007-07-17 Abhishek Chaudhuri , Surajit Sengupta

We study the dynamic structure factor of fluctuating elastic thin sheets subject to conservative (athermal) random forcing. In Steinbock, Katzav & Boudaoud, Phys. Rev. Research 4, 033096 (2022), the static structure factor of such a sheet…

Soft Condensed Matter · Physics 2023-02-09 Chanania Steinbock , Eytan Katzav

We investigate the depinning transition for driven interfaces in the random-field Ising model for various dimensions. We consider the order parameter as a function of the control parameter (driving field) and examine the effect of thermal…

Statistical Mechanics · Physics 2009-11-07 L. Roters , S. Lubeck , K. D. Usadel

The appropriate boundary condition between an unconfined incompressible viscous fluid and a porous medium is given by the law of Beavers and Joseph. The latter has been justified both experimentally and mathematically, using the method of…

Mathematical Physics · Physics 2015-04-23 Sören Dobberschütz

We study the motion of discrete interfaces driven by ferromagnetic interactions in a two-dimensional low-contrast periodic environment, by coupling the minimizing movements approach by Almgren, Taylor and Wang and a discrete-to-continuum…

Differential Geometry · Mathematics 2014-07-28 G. Scilla

We establish a quantitative homogenization result for an interface moving through a field of sufficiently sparse but possibly impenetrable random obstacles. From a physical viewpoint, such problems arise e.g. in the context of the motion of…

Analysis of PDEs · Mathematics 2026-03-13 Julian Fischer , Jonas Ingmanns

The onset of frictional motion at the interface between two distinct bodies in contact is characterized by the propagation of dynamic rupture fronts. We combine friction experiments and numerical simulations to study the properties of these…

Geophysics · Physics 2020-02-03 Ilya Svetlizky , Gabriele Albertini , Gil Cohen , David S. Kammer , Jay Fineberg

The steady state properties of an interface in a stationary Couette flow are addressed within the framework of fluctuating hydrodynamics. Our study reveals that thermal fluctuations are driven out of equilibrium by an effective shear rate…

Soft Condensed Matter · Physics 2010-04-26 Marine Thiébaud , Thomas Bickel

The dynamics of an elastic interface profile h(x,t) under a driving force increasing at rate c, a restored force -epsilon h, and disorder is investigated. Using perturbation theory and functional renormalization group the phase diagram and…

Condensed Matter · Physics 2007-05-23 Alexei Vazquez , Oscar Sotolongo-Costa

According to a model of the turbulent boundary layer proposed by the authors, in the absence of external turbulence the intermediate region between the viscous sublayer and the external flow consists of two sharply separated self-similar…

Mathematical Physics · Physics 2009-11-07 G. I. Barenblatt , A. J. Chorin , V. M. Prostokishin

We study the high-dimensional properties of an invading front in a disordered medium with random pinning forces. We concentrate on interfaces described by bounded slope models belonging to the quenched KPZ universality class. We find a…

Statistical Mechanics · Physics 2009-10-30 Omri Gat , Zeev Olami