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相关论文: Interface dynamics at the depinning transition

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We explore the critical dynamics of driven interfaces propagating through a two dimensional disordered medium with long range spatial correlations, modeled using fractional Brownian motion. Departing from conventional models with…

统计力学 · 物理学 2025-10-02 Neda Valizadeh , Morteza Nattagh Najafi

The dynamical critical behavior of a single directed line driven in a random medium near the depinning threshold is studied both analytically (by renormalization group) and numerically, in the context of a Flux Line in a Type-II…

凝聚态物理 · 物理学 2009-10-28 Deniz Ertas , Mehran Kardar

We note that in a system far from equilibrium the interface roughening may depend on the system size which plays the role of control parameter. To detect the size effect on the interface roughness, we study the scaling properties of rough…

统计力学 · 物理学 2009-11-11 Alexander S. Balankin , Daniel Morales Matamoros

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

无序系统与神经网络 · 物理学 2009-10-31 M. Dube , M. Rost , M. Alava

Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators…

统计力学 · 物理学 2009-11-07 A. Carpio , L. L. Bonilla , A. Luzon

The dynamics of driven interfaces through disordered media is a common framework for a myriad of diverse systems starting from mode-I fracture, vortex lines in superconductors, magnetic domain walls to invading fluid in a porous medium to…

统计力学 · 物理学 2023-10-06 Diksha , Gunnemeda Eswar , Soumyajyoti Biswas

The thermal rounding of the depinning transition of an elastic interface sliding on a washboard potential is studied through analytic arguments and very accurate numerical simulations. We confirm the standard view that well below the…

无序系统与神经网络 · 物理学 2020-11-23 A. B. Kolton , E. A. Jagla

The propagation of an adhesive crack through an anisotropic heterogeneous interface is considered. Tuning the local toughness distribution function and spatial correlation is numerically shown to induce a transition between weak to strong…

无序系统与神经网络 · 物理学 2014-02-18 Sylvain Patinet , Damien Vandembroucq , Stéphane Roux

This paper provides a rigorous study of the localization transition for a Gaussian free field on $\mathbb{Z}^d$ interacting with a quenched disordered substrate that acts on the interface when the interface height is close to zero. The…

概率论 · 数学 2015-07-23 Giambattista Giacomin , Hubert Lacoin

We show that time dependent couplings may lead to nontrivial scaling properties of the surface fluctuations of the asymptotic regime in non-equilibrium kinetic roughening models . Three typical situations are studied. In the case of a…

统计力学 · 物理学 2009-11-13 Marc Pradas , Juan M. López , A. Hernández-Machado

We study the high-dimensional properties of an invading front in a disordered medium with random pinning forces. We concentrate on interfaces described by bounded slope models belonging to the quenched KPZ universality class. We find a…

统计力学 · 物理学 2009-10-30 Omri Gat , Zeev Olami

We consider the dynamics and kinetic roughening of interfaces embedded in uniformly random media near percolation treshold. In particular, we study simple discrete ``forest fire'' lattice models through Monte Carlo simulations in two and…

统计力学 · 物理学 2009-10-31 M. -P. Kuittu , M. Haataja , N. Provatas , T. Ala-Nissila

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

统计力学 · 物理学 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

We study the roughening properties of the anharmonic elastic interface in the presence of temporally correlated noise. The model can be seen as a generalization of the anharmonic Larkin model, recently introduced by Purrello, Iguain, and…

统计力学 · 物理学 2021-10-13 Alejandro Alés , Juan M. López

Edwards--Wilkinson type models are studied in 1+1 dimensions and the time-dependent distribution, P_L(w^2,t), of the square of the width of an interface, w^2, is calculated for systems of size L. We find that, using a flat interface as an…

凝聚态物理 · 物理学 2009-10-28 T. Antal , Z. Racz

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…

统计力学 · 物理学 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…

统计力学 · 物理学 2010-03-05 Marc Pradas , Juan M. López , A. Hernández-Machado

We consider a model for the evolution of an interface in a heterogeneous environment governed by a parabolic equation. The heterogeneity is introduced as obstacles exerting a localized dry friction. Our main result establishes the emergence…

偏微分方程分析 · 数学 2019-09-12 Luca Courte , Patrick Dondl , Ulisse Stefanelli

We report experimental evidences of anomalous kinetic roughening in the stable displacement of an oil-air interface in a Hele-Shaw cell with strong quenched disorder. The disorder consists on a random modulation of the gap spacing…

无序系统与神经网络 · 物理学 2016-08-16 Jordi Soriano , Jordi Ortín , A. Hernández-Machado

We study the depinning transition of a driven chain-like system in the presence of frustration and quenched disorder. The analysis is motivated by recent transport experiments on artificial vortex-flow channels in superconducting thin…

超导电性 · 物理学 2009-11-07 T. Droese , R. Besseling , P. Kes , C. Morais Smith