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We study the rescaled probability distribution of the critical depinning force of an elastic system in a random medium. We put in evidence the underlying connection between the critical properties of the depinning transition and the extreme…

无序系统与神经网络 · 物理学 2007-05-23 C. J. Bolech , Alberto 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…

凝聚态物理 · 物理学 2009-11-10 Damien Vandembroucq , Rune Skoe , Stephane Roux

We study the depinning transitions of elastic strings in disordered media in two different cases. We consider the elastic forces to be of infinite range in one case, where the magnitude is proportional to the extension of the string. The…

统计力学 · 物理学 2011-08-09 Soumyajyoti Biswas , Bikas K. Chakrabarti

We compute numerically the sequence of successive pinned configurations of an elastic line pulled quasi-statically by a spring in a random bond (RB) and random field (RF) potential. Measuring the fluctuations of the center of mass of the…

无序系统与神经网络 · 物理学 2009-11-11 Alberto Rosso , Pierre Le Doussal , Kay Joerg Wiese

Elastic interfaces in quenched random media driven by external forces exhibit a continuous depinning phase transition between pinned and moving phases at a critical external force. Recent work [Phys. Rev. Lett. 129, 175701 (2022)] has shown…

统计力学 · 物理学 2026-02-03 Tuuli Sillanpää , Sanni Nousiainen , Lasse Laurson

We study the effect of quenched random field disorder on a driven elastic interface close to the depinning transition at the upper critical dimension d_{c}=4 using the functional renormalization group. We have found that the displacement…

无序系统与神经网络 · 物理学 2009-11-07 Andrei A. Fedorenko , Semjon Stepanow

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…

材料科学 · 物理学 2007-05-23 Stefano Zapperi , Michael Zaiser

We show that the functional renormalization group (FRG) allows for the calculation of the probability distribution function of the sum of strongly correlated random variables. On the example of the three-dimensional Ising model at…

统计力学 · 物理学 2023-01-11 I. Balog , A. Rançon , B. Delamotte

Many seemingly different macroscopic systems (magnets, ferroelectrics, CDW, vortices,..) can be described as generic disordered elastic systems. Understanding their static and dynamics thus poses challenging problems both from the point of…

无序系统与神经网络 · 物理学 2009-11-13 S. Bustingorry , A. B. Kolton , A. Rosso , W. Krauth , T. Giamarchi

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…

无序系统与神经网络 · 物理学 2009-11-07 Rune Skoe , Damien Vandembroucq , Stephane Roux

We study the non-stationary dynamics of an elastic interface in a disordered medium at the depinning transition. We compute the two-time response and correlation functions, found to be universal and characterized by two independent critical…

无序系统与神经网络 · 物理学 2009-10-16 Alejandro B. Kolton , Gregory Schehr , Pierre Le Doussal

An infinite-range model of an elastic manifold pulled through a random potential by an applied force $F$ is analyzed focusing on inertial effects. When the inertial parameter, $M$, is small, there is a continuous depinning transition from a…

无序系统与神经网络 · 物理学 2009-10-31 J. M. Schwarz , Daniel S. Fisher

Elastic systems driven in a disordered medium exhibit a depinning transition at zero temperature and a creep regime at finite temperature and slow drive $f$. We derive functional renormalization group equations which allow to describe in…

无序系统与神经网络 · 物理学 2009-10-31 Pascal Chauve , Thierry Giamarchi , Pierre Le Doussal

Loops undergoing thermal fluctuations are prevalent in nature. Ring-like or cross-linked polymers, cyclic macromolecules, and protein-mediated DNA loops all belong to this category. Stability of these molecules are generally described in…

计算物理 · 物理学 2016-04-27 James T. Waters , Harold D. Kim

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be…

凝聚态物理 · 物理学 2009-10-22 Heiko Leschhorn

We compute the probability distribution of the interface width at the depinning threshold, using recent powerful algorithms. It confirms the universality classes found previously. In all cases, the distribution is surprisingly well…

凝聚态物理 · 物理学 2009-11-10 Alberto Rosso , Werner Krauth , Pierre Le Doussal , Jean Vannimenus , Kay Joerg Wiese

We report on systematic measurements of the distribution of normal forces exerted by granular material under uniaxial compression onto the interior surfaces of a confining vessel. Our experiments on three-dimensional, random packings of…

材料科学 · 物理学 2009-10-31 Daniel M. Mueth , Heinrich M. Jaeger , Sidney R. Nagel

A polymer chain pinned in space exerts a fluctuating force on the pin point in thermal equilibrium. The average of such fluctuating force is well understood from statistical mechanics as an entropic force, but little is known about the…

统计力学 · 物理学 2015-07-22 James T. Waters , Harold D. Kim

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…

统计力学 · 物理学 2007-05-23 J. Vannimenus , B. Derrida

We study the steady-state low-temperature dynamics of an elastic line in a disordered medium below the depinning threshold. Analogously to the equilibrium dynamics, in the limit T->0, the steady state is dominated by a single configuration…

无序系统与神经网络 · 物理学 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Thierry Giamarchi , Werner Krauth
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