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Disordered systems submitted to a slowly increasing external stress often reacts with a jerky dynamics characterized by bursts of activity, called avalanches, which are the manifestation of an out-of-equilibrium phase transition. This…

统计力学 · 物理学 2021-03-16 Clément Le Priol

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,…

无序系统与神经网络 · 物理学 2025-08-14 Giuseppe Petrillo , Eduardo Jagla , Eugenio Lippiello , Alberto Rosso

A field-theoretical description of the behavior of compressible Ising systems with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions with the use of the Pade-Borel…

统计力学 · 物理学 2007-05-23 S. V. Belim

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

We discuss the role of the long-range elastic interaction between the contacts inside an inhomogeneous frictional interface. The interaction produces a characteristic elastic correlation length $\lambda_c = a^2 E / k_c$ (where $a$ is the…

统计力学 · 物理学 2012-01-25 Oleg Braun , Michel Peyrard , D. V. Stryzheus , Erio Tosatti

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…

凝聚态物理 · 物理学 2009-10-22 Heiko Leschhorn , Lei-Han Tang

Friction in static and sliding contact of rough surfaces is important in numerous physical phenomena. We seek to understand macroscopically observed static and sliding contact behavior as the collective response of a large number of…

软凝聚态物质 · 物理学 2018-11-12 Srivatsan Hulikal , Nadia Lapusta , Kaushik Bhattacharya

Motivated by recent experiments, we extend the Joanny-deGennes calculation of the elasticity of a contact line to an arbitrary contact angle and an arbitrary plate inclination in presence of gravity. This requires a diagonalization of the…

无序系统与神经网络 · 物理学 2015-05-14 Pierre Le Doussal , Kay Joerg Wiese

The effects of purely elastic collisions on the dynamics of heavy inertial particles is investigated in a three-dimensional random incompressible flow. It is shown that the statistical properties of inter-particle separations and relative…

流体动力学 · 物理学 2015-06-12 Jeremie Bec , Stefano Musacchio , Samriddhi Sankar Ray

Recent theoretical studies of statistical mechanical properties of systems with long range interactions are briefly reviewed. In these systems the interaction potential decays with a rate slower than 1/r^d at large distances r in d…

统计力学 · 物理学 2009-11-13 David Mukamel

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…

统计力学 · 物理学 2026-02-03 Valtteri Haavisto , Marcin Mińkowski , Lasse Laurson

When a elastic body is moved quasistatically back and forth over a surface, the friction of the interface is experimentally observed to circulate through a hysteretic loop. The asymptotic behaviour of the hysteresis loop is approached…

统计力学 · 物理学 2008-02-03 Lydéric Bocquet , Henrik Jeldtoft Jensen

The review is devoted to the theory of collective and it local pinning effects in various disordered non-linear driven systems. Although the emphasis is put on charge and spin density waves and magnetic domain walls, the theory has also…

统计力学 · 物理学 2009-11-10 Serguei Brazovskii , Thomas Nattermann

We propose a statistical model for static and sliding friction between rough surfaces. Approximating the contact between rough surfaces by the contact of an ensemble of one-dimensional viscoelastic elements with a rough rigid surface, we…

软凝聚态物质 · 物理学 2015-06-19 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

A field-theoretic description of critical behavior of Ising systems with long-range interactions is obtained in the two-loop approximation directly in the three-dimensional space. It is shown that long-range interactions affect the…

统计力学 · 物理学 2007-05-23 S. V. Belim

We study the coarsening dynamics of a two dimensional system via lattice Boltzmann numerical simulations. The system under consideration is a biphasic system consisting of domains of a dispersed phase closely packed together in a continuous…

软凝聚态物质 · 物理学 2020-10-07 Francesca Pelusi , Mauro Sbragaglia , Roberto Benzi

Avalanches are often defined as signals higher than some detection level in bursty systems. The choice of the detection threshold affects the number of avalanches, but it can also affect their temporal correlations. We simulated the…

统计力学 · 物理学 2022-06-02 Juha Savolainen , Lasse Laurson , Mikko Alava

The elastic interaction, induced by the lattice distortion due to the difference of the molecular size, causes an effective long-range interaction. In spin-crossover (SC) compounds, local bistable states, i.e., high-spin and low-spin states…

统计力学 · 物理学 2015-07-31 Masamichi Nishino , Seiji Miyashita

A field-theoretic approach is applied to describe behavior of three-dimensional, weakly disordered, elastically isotropic, compressible systems with long-range interactions at various values of a long-range interaction parameter.…

统计力学 · 物理学 2007-05-23 S. V. Belim

We study numerically the relaxation of a driven elastic string in a two dimensional pinning landscape. The relaxation of the string, initially flat, is governed by a growing length $L(t)$ separating the short steady-state equilibrated…

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