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Thermal fluctuations in non-equilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations in turn experience fluctuation induced forces. We compute these…

Statistical Mechanics · Physics 2015-01-07 Avi Aminov , Yariv Kafri , Mehran Kardar

We present exact derivations of the effective capillary wave fluctuation induced forces resulting from pinning of an interface between two coexisting phases at two points separated by a distance r. In two dimensions the Ising ferromagnet…

Statistical Mechanics · Physics 2007-05-23 D. B. Abraham , F. H. L. Essler , A. Maciolek , ;

We describe and implement a technique for extracting forces from the relaxation of an overdamped thermal system with normal modes. At sufficiently short time intervals, the evolution of a normal mode is well described by a one-dimensional…

Soft Condensed Matter · Physics 2009-11-13 Sunil K. Sainis , Vincent Germain , Eric R. Dufresne

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…

Soft Condensed Matter · Physics 2024-10-28 Elisa El Sergany , Matthieu Wyart , Tom W. J. de Geus

With Monte Carlo simulations, the nonsteady dynamics properties of a domain wall have been systematically investigated for the thermally activated creep state under an alternating driving field. Taking the driven random-field Ising model in…

Statistical Mechanics · Physics 2014-07-11 N. J. Zhou , B. Zheng

We study avalanche dynamics and local activity of forced-flow imbibition fronts in disordered media. We focus on the front dynamics as the mean velocity $\bar{v}$ of the interface is decreased and the pinning state is approached. Scaling…

Statistical Mechanics · Physics 2010-03-05 Marc Pradas , Juan M. López , A. Hernández-Machado

Numerous laboratory experiments have demonstrated the dependence of the friction coefficient on the interfacial slip rate and the contact history, a behavior generically called rate and state friction. Although numerical models have been…

Geophysics · Physics 2020-06-24 Roozbeh Rezakhani , Fabian Barras , Michael Brun , Jean-Francois Molinari

We study the critical behavior of a driven interface in a medium with random pinning forces by analyzing spatial and temporal correlations in a lattice model recently proposed by Sneppen [Phys. Rev. Lett. {\bf 69}, 3539 (1992)]. The static…

Condensed Matter · Physics 2009-10-22 Heiko Leschhorn , Lei-Han Tang

Yield stress fluids display complex dynamics, in particular when driven into the transient regime between the solid and the flowing state. Inspired by creep experiments on dense amorphous materials, we implement mesocale elasto-plastic…

Soft Condensed Matter · Physics 2018-10-01 Chen Liu , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

The dynamics of a "peeling front" or an elastic line is studied under creep (constant load) conditions. Our experiments show an exponential dependence of the creep velocity on the inverse force (mass) applied. In particular, the dynamical…

Materials Science · Physics 2008-11-28 Jari Rosti , Juha Koivisto , Paola Traversa , Xavier Illa , Jean-Robert Grasso , Mikko J. Alava

We investigate experimentally and theoretically the dynamics of a crack front during the micro-instabilities taking place in heterogeneous materials between two successive equilibrium positions. We focus specifically on the spatio-temporal…

Soft Condensed Matter · Physics 2018-12-12 Chopin Julien , Bhaskar Aditya , Jog Atharv , Ponson Laurent

We study the influence of disorder strength on the interface roughening process in a phase-field model with locally conserved dynamics. We consider two cases where the mobility coefficient multiplying the locally conserved current is either…

Disordered Systems and Neural Networks · Physics 2009-11-13 T. Laurila , M. Pradas , A. Hernandez-Machado , T. Ala-Nissila

Active materials form a class of far-from-equilibrium systems that are driven internally and exhibit self-organization which can be harnessed to perform mechanical work. Inspired by experiments on synthetic active networks we examine limits…

Soft Condensed Matter · Physics 2024-05-02 Shahriar Shadkhoo , Matt Thomson

We study the distribution of threshold forces at the depinning transition for an elastic system of finite size, driven by an external force in a disordered medium at zero temperature. Using the functional renormalization group (FRG)…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andrei A. Fedorenko , Pierre Le Doussal , Kay Joerg Wiese

We study the steady state of a phase-separated driven Ising lattice gas in three dimensions using computer simulations with Kawasaki dynamics. An external force field F(z) acts in the x direction parallel to the interface, creating a…

Statistical Mechanics · Physics 2015-05-19 Thomas H. R. Smith , Oleg Vasilyev , Anna Maciołek , Matthias Schmidt

We study the relation between a threshold-force based model at the microscopic scale and mode I fracture at the macroscopic scale in a system of discrete interacting springs. Specifically, we idealize the contact between two surfaces as…

Soft Condensed Matter · Physics 2016-06-13 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

We study erratically moving spatial structures that are found in a driven interface in a random medium at the depinning threshold. We introduce a bond-disordered variant of the Sneppen model and study the effect of extremal dynamics on the…

Statistical Mechanics · Physics 2009-10-31 Supriya Krishnamurthy , Mustansir Barma

We have studied the propagation of a crack front along the heterogeneous weak plane of a transparent poly(methyl methacrylate) (PMMA) block using two different loading conditions: imposed constant velocity and creep relaxation. We have…

Disordered Systems and Neural Networks · Physics 2012-05-29 Ken Tore Tallakstad , Renaud Toussaint , Stéphane Santucci , Jean Schmittbuhl , Knut Jørgen Måløy

We conduct molecular dynamics simulations of athermal systems undergoing boundary-driven planar shear flow in two and three spatial dimensions. We find that these systems possess nonlinear mean velocity profiles when the velocity $u$ of the…

Soft Condensed Matter · Physics 2009-11-10 Ning Xu , Corey S. O'Hern , Lou Kondic

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

Analysis of PDEs · Mathematics 2014-07-29 A. Braides , G. Scilla