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Related papers: Interface Motion in Random Media at Finite Tempera…

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We review in these notes some dynamical properties of interfaces in random media submitted to an external force. We focuss in particular to the response to a very small force (so called creep motion) and discuss various theoretical aspects…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Giamarchi , A. B. Kolton , A. Rosso

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

An elastic string embedded in 3D space and subject to a short-range correlated random potential exhibits marginal pinning at high temperatures, with the pinning length $L_c(T)$ becoming exponentially sensitive to temperature. Using a…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. A. Gorokhov , G. Blatter

Long linear polymers in a depinned interfaces environment have been studied for a long time, for instance in \cite{Caravenna2009depinning} when the temperature is constant. In this paper, we study an extension of this model by making the…

Probability · Mathematics 2024-10-10 Angot Elric

We study the depinning transition for models representative of each of the two universality classes of interface roughening with quenched disorder. For one of the universality classes, the roughness exponent changes value at the transition,…

Condensed Matter · Physics 2009-10-22 Hernan A. Makse , Luis A. Nunes Amaral

High velocity impact between crystalline surfaces is important for a range of material phenomena, yet a fundamental understanding of the effect of surface structure, energetics and kinetics on the underlying thermo-mechanical response…

Materials Science · Physics 2015-10-14 Zhenqi Yang , Sinan Muftu , Moneesh Upmanyu

We study several probability distributions relevant to the avalanche dynamics of elastic interfaces driven on a random substrate: The distribution of size, duration, lateral extension or area, as well as velocities. Results from the…

Disordered Systems and Neural Networks · Physics 2019-10-18 Alejandro B. Kolton , Pierre Le Doussal , Kay Joerg Wiese

We study the finite-temperature dynamics of thin elastic sheets in a single-clamped cantilever configuration. This system is known to exhibit a tilt transition at which the preferred mean plane of the sheet shifts from horizontal to a plane…

Soft Condensed Matter · Physics 2023-12-27 Roberto Abril Valenzuela , Paul Z. Hanakata , Mark J. Bowick

The theory of the depinning transition of elastic manifolds in random media provides a framework for the statistical dynamics of dislocation systems at yield. We consider the case of a single flexible dislocation gliding through a random…

Materials Science · Physics 2007-05-23 Stefano Zapperi , Michael Zaiser

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 investigate the role of relaxation mechanisms in the driven response of elastic disordered interfaces in finite dimensions, focusing on the interplay between dimensionality and interaction range. Through extensive numerical simulations,…

Disordered Systems and Neural Networks · Physics 2025-08-14 Giuseppe Petrillo , Eduardo Jagla , Eugenio Lippiello , Alberto Rosso

We investigate interface motion in disordered ferromagnets by means of Monte Carlo simulations. For small temperatures and driving fields a so-called creep regime is found and the interface velocity obeys an Arrhenius law. We analyze the…

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

The kinetic roughening of a driven interface between three dimensional spin-up and spin-down domains in a model with non-conserved scalar order parameter and quenched disorder is studied numerically within a discrete time dynamics at zero…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Jost , K. D. Usadel

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

The influence of temperature on interfacial fluid slip, as measured by molecular-dynamics simulations of a Couette flow comprising a Lennard-Jones fluid and rigid crystalline walls, is examined as a function of the fluid-solid interaction…

Fluid Dynamics · Physics 2021-06-30 Thiago F. Viscondi , Adriano Grigolo , Iberê L. Caldas , Julio R. Meneghini

Extensive Monte Carlo study of two-dimensional Ising model is done to investigate the statistical behavior of spin clusters and interfaces as a function of temperature, $T$. We use a \emph{tie-breaking} rule to define interfaces of spin…

Statistical Mechanics · Physics 2009-07-17 A. A. Saberi

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

In this paper we consider a model which describes a polymer chain interacting with an infinity of equi-spaced linear interfaces. The distance between two consecutive interfaces is denoted by T = T_N and is allowed to grow with the size N of…

Probability · Mathematics 2009-01-20 Francesco Caravenna , Nicolas Pétrélis

A set of interacting vortices in $2D$ in the presence of a substrate with square symmetry and at filling ratio $1$ can display a low temperature solid phase where only one of the reciprocal lattice vectors of the substrate is…

Soft Condensed Matter · Physics 2020-08-14 Toby Joseph

Using numerical simulations, we perform an extensive finite-size analysis of the transverse diffusion coefficient in a sheared 2D amorphous solid, over a broad range of strain rates, at temperatures up to the supercooled liquid regime. We…

Materials Science · Physics 2015-05-27 Joyjit Chattoraj , Christiane Caroli , Anaël Lemaître