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Regardless of model and platform details, the critical phenomena exhibit universal behaviors that are remarkably consistent across various experiments and theories, resulting in a significant scientific success of condensed matter physics.…

介观与纳米尺度物理 · 物理学 2026-03-18 Qiwei Wan , Yi Zhang

We study the roughening of interfaces in phase-separated active suspensions on substrates. At both large length and timescales, we show that the interfacial dynamics belongs to the |q|KPZ universality class discussed in Besse et al. Phys.…

软凝聚态物质 · 物理学 2025-03-25 Fernando Caballero , Ananyo Maitra , Cesare Nardini

The 'Cavity-Mean-Field' approximation developed for the Random Transverse Field Ising Model on the Cayley tree [L. Ioffe and M. M\'ezard, PRL 105, 037001 (2010)] has been found to reproduce the known exact result for the surface…

无序系统与神经网络 · 物理学 2012-01-18 Cecile Monthus , Thomas Garel

The equilibrium statistical mechanics of a d dimensional ``oriented'' manifold in an N+d dimensional random medium are analyzed in d=4-epsilon dimensions. For N=1, this problem describes an interface pinned by impurities. For d=1, the model…

凝聚态物理 · 物理学 2009-10-22 Leon Balents , Daniel S. Fisher

Dynamical processes exhibiting absorbing states are essential in the modeling of a large variety of situations from material science to epidemiology and social sciences. Such processes exhibit the possibility of avalanching behavior upon…

We model the isotropic depinning transition of a domain-wall using a two dimensional Ginzburg-Landau scalar field instead of a directed elastic string in a random media. An exact algorithm accurately targets both the critical depinning…

无序系统与神经网络 · 物理学 2023-11-10 Alejandro B. Kolton , Ezequiel E. Ferrero , Alberto Rosso

The response of spatially extended systems to a force leading their steady state out of equilibrium is strongly affected by the presence of disorder. We focus on the mean velocity induced by a constant force applied on one-dimensional…

We consider an open, bounded, simply connected (Lipschitz) domain in $\mathbb{R}^d$, which contains a closed polyhedral surface or polygonal contour, referred to as the interface. From this interface, forces are exerted in the normal…

数值分析 · 数学 2026-05-15 Sabia Asghar , Qiyao Peng , Etelvina Javierre , Fred J. Vermolen

The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, with the structure…

无序系统与神经网络 · 物理学 2009-10-31 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

In modern transport systems, passengers' comfort is greatly influenced by flow-induced noise. In this study we investigate a generic deep cavity with an overhanging lip, mimicking a door gap in a vehicle, that is overflowed by air at two…

流体动力学 · 物理学 2020-06-08 Stefan Schoder , Ivan Lazarov , Manfred Kaltenbacher

We perform large scale simulations of a two dimensional lattice model for amorphous plasticity with random local yield stresses and long-range quadrupolar elastic interactions. We show that as the external stress increases towards the…

软凝聚态物质 · 物理学 2013-12-12 Zoe Budrikis , Stefano Zapperi

We report studies of the behaviour of a single driven domain wall in the 2-dimensional non-equilibrium zero temperature random-field Ising model, closely above the depinning threshold. It is found that even for very weak disorder, the…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Karin Dahmen

We study the statistical properties of the yielding transition in model amorphous solids in the limit of slow, athermal deformation. Plastic flow occurs via alternating phases of elastic loading punctuated by rapid dissipative events in the…

软凝聚态物质 · 物理学 2021-05-04 Céline Ruscher , Jörg Rottler

We study a system of $N$ non-intersecting $(1+1)$-dimensional fluctuating elastic interfaces (`vicious bridges') at thermal equilibrium, each subject to periodic boundary condition in the longitudinal direction and in presence of a…

统计力学 · 物理学 2015-05-13 Céline Nadal , Satya N. Majumdar

We study a model of ``organized'' criticality, where a single avalanche propagates through an \textit{a priori} static (i.e., organized) sandpile configuration. The latter is chosen according to an i.i.d. distribution from a Borel…

The avalanche properties of models that exhibit 'self-organized criticality' (SOC) are still mostly awaiting theoretical explanations. A recent mapping (Europhys. Lett.~53, 569) of many sandpile models to interface depinning is presented…

统计力学 · 物理学 2009-11-07 Mikko Alava

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

We consider the dynamics and kinetic roughening of wetting fronts in the case of forced wetting driven by a constant mass flux into a 2D disordered medium. We employ a coarse-grained phase field model with local conservation of density,…

无序系统与神经网络 · 物理学 2009-11-11 T. Laurila , C. Tong , I. Huopaniemi , S. Majaniemi , T. Ala-Nissila

We investigate the breakdown of disordered networks under the action of an increasing external---mechanical or electrical---force. We perform a mean-field analysis and estimate scaling exponents for the approach to the instability. By…

统计力学 · 物理学 2009-10-31 Stefano Zapperi , Purusattam Ray , H. Eugene Stanley , Alessandro Vespignani

We study the invasion of an unstable state by a propagating front in a peculiar but generic situation where the invasion process exhibits a remnant instability. Here, remnant instability refers to the fact that the spatially constant…

偏微分方程分析 · 数学 2020-09-07 Gregory Faye , Matt Holzer , Arnd Scheel , Lars Siemer