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Related papers: Velocity-force characteristics of a driven interfa…

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We present analytical results and kinetic Monte Carlo simulations for the mobility and microscopic structure of solid-on-solid (SOS) interfaces driven far from equilibrium by an external force, such as an applied field or (electro)chemical…

Materials Science · Physics 2009-09-29 G. M. Buendia , P. A. Rikvold , M. Kolesik

We study the mean-field version of a model proposed by Leschhorn to describe the depinning transition of interfaces in random media. We show that evolution equations for the distribution of forces felt by the interface sites can be written…

Statistical Mechanics · Physics 2007-05-23 J. Vannimenus , B. Derrida

We establish the convergence of threshold dynamics-type approximation schemes to propagating fronts evolving according to an anisotropic mean curvature motion in the presence of a forcing term depending on both time and position, thus…

Analysis of PDEs · Mathematics 2025-07-17 Bohdan Bulanyi , Berardo Ruffini

We report a comparative study of magnetic field driven domain wall motion in thin films made of different magnetic materials for a wide range of field and temperature. The full thermally activated creep motion, observed below the depinning…

The slow motion of a crack line is studied via an experiment in which sheets of paper are split into two halves in a ``peel-in-nip'' (PIN) geometry under a constant load, in creep. The velocity-force relation is exponential. The dynamics of…

Statistical Mechanics · Physics 2009-11-13 J. Koivisto , J. Rosti , M. J. Alava

The depinning of an elastic line in a random medium is studied via an extremal model. The latter gives access to the instantaneous depinning force for each successive conformation of the line. Based on conditional statistics the universal…

Condensed Matter · Physics 2009-11-10 Damien Vandembroucq , Rune Skoe , Stephane Roux

We study effects of pinning on the dynamics of a vortex lattice in a type II superconductor in the strong-pinning situation and determine the force--velocity (or current--voltage) characteristic combining analytical and numerical methods.…

Superconductivity · Physics 2017-11-08 A. U. Thomann , V. B. Geshkenbein , G. Blatter

We study the effective forces acting between colloidal particles trapped at a fluid interface which itself is exposed to a pressure field. To this end we apply what we call the ``force approach'', which relies solely on the condition of…

Soft Condensed Matter · Physics 2008-03-31 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

We report the two typical models of normal heat conduction in one dimensional momentum-conserving systems. They show the Arrhenius and the non-Arrhenius temperature dependence. We construct the two corresponding phenomenologies,…

Statistical Mechanics · Physics 2016-07-20 Dye SK Sato

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…

Disordered Systems and Neural Networks · Physics 2016-01-28 L. E. Aragón , A. B. Kolton , P. Le Doussal , K. J. Wiese , E. A. Jagla

A general kind of Brownian vortexes are demonstrated by applying an external nonconservative force field to a colloidal particle bound by a conservative optical trapping force at a liquid-air interface. As the liquid medium is translated at…

Soft Condensed Matter · Physics 2011-05-09 Manas Khan , A. K. Sood

We consider a moving interface that is coupled to an elliptic equation in a heterogeneous medium. The problem is motivated by the study of displacive solid-solid phase transformations. We show that a nearly flat interface is given by the…

Analysis of PDEs · Mathematics 2012-06-13 Patrick W. Dondl , Kaushik Bhattacharya

Phenomena including friction and earthquakes are complicated by the joint presence of disorder and non-linear instabilites, such as those triggered by the presence of velocity weakening. In [de Geus and Wyart, Phys. Rev. E 106, 065001…

Disordered Systems and Neural Networks · Physics 2025-12-01 Tom W. J. de Geus , Matthieu Wyart

The motion of an elastic body over a rough surface is simulated in one dimension using Newtonian dynamics. We drive the body by prescribing a constant velocity. We extract the friction force from the work done by the applied force in order…

Condensed Matter · Physics 2008-02-03 Nathan A. Lindop , Henrik Jeldoft Jensen

We consider identical copies of spin glasses in finite dimension coupled at the boundaries. This allows to identify the spin glass analogous of twisted boundary conditions in ferromagnetic system and leads to the definition of an interface…

Disordered Systems and Neural Networks · Physics 2015-05-13 E. Brézin , S. Franz , G. Parisi

We investigate the propagation of a slip front in a visco-elastic body on a rigid substrate. The body is one-dimensional, and the loading stress is applied at one end. By employing a local friction law that has a quadratic form of the slip…

Fluid Dynamics · Physics 2019-11-01 Takehito Suzuki , Hiroshi Matsukawa

We study the spatial fluctuations of transient creep deformation of materials as a function of time, both by Digital Image Correlation (DIC) measurements of paper samples and by numerical simulations of a crystal plasticity or discrete…

Materials Science · Physics 2015-05-28 Lasse Laurson , Jari Rosti , Juha Koivisto , Amandine Miksic , Mikko J. Alava

The influence of a strong surface potential on the critical depinning of an elastic system driven in a random medium is considered. If the surface potential prevents depinning completely the elastic system shows a parabolic displacement…

Statistical Mechanics · Physics 2008-06-24 Andreas Glatz , Thomas Nattermann

We consider a model for the evolution of an interface in a heterogeneous environment governed by a parabolic equation. The heterogeneity is introduced as obstacles exerting a localized dry friction. Our main result establishes the emergence…

Analysis of PDEs · Mathematics 2019-09-12 Luca Courte , Patrick Dondl , Ulisse Stefanelli

The Weissenberg effect, or rod-climbing phenomenon, occurs in non-Newtonian fluids where the fluid interface ascends along a rotating rod. Despite its prominence, theoretical insights into this phenomenon remain limited. In earlier work,…

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