We study the depinning transition of the quenched Mullins-Herring equation by direct integration method. At critical force Fc, the average surface velocity v(t) follows a power-law behavior v(t) approximately t-delta as a function of time t with delta=0.160(5). The surface width has a scaling behavior with the roughness exponent alpha=1.50(6) and the growth exponent beta=0.841(5). Above the critical force, the steady state velocity v2 follows vs approximately (F - Fc)theta with theta=0.289(8). Finite size scalings of the velocity are also discussed.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.73.016140 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Magnetic Domain Wall Energy Landscape Engineering in a Ferrimagnet.
Nano Lett
January 2025
Tianjin Key Laboratory for Rare Earth Materials and Applications, Center for Rare Earth and Inorganic Functional Materials, School of Materials Science and Engineering, Nankai University, 300350 Tianjin, China.
Architectures based on a magnetic domain wall (DW) can store and process information at a high speed in a nonvolatile manner with ultra-low power consumption. Recently, transition-metal rare earth metal alloy-based ferrimagnets have attracted a considerable amount of attention for the ultrafast current-driven DW motion. However, the high-speed DW motion is subject to film inhomogeneity and device edge defects, causing challenges in controlling the DW motion and hindering practical application.
View Article and Find Full Text PDFCriticality of Interface Depinning and Origin of "Bump" in the Avalanche Distribution.
Phys Rev Lett
November 2024
Computational Physics Laboratory, Tampere University, P.O. Box 600, FI-33014 Tampere, Finland.
The depinning transition critical point is manifested as power-law distributed avalanches exhibited by slowly driven elastic interfaces in quenched random media. Here we show that since avalanches with different starting heights relative to the mean interface height or different initial local interface curvatures experience different excess driving forces due to elasticity, avalanches close to the "global" critical point of non-mean-field systems can be separated into populations of subcritical, critical, and supercritical ones. The asymmetric interface height distribution results in an excess of supercritical avalanches, manifested as a "bump" in the avalanche size distribution cutoff.
View Article and Find Full Text PDFPercolation versus depinning transition: The inherent role of damage hardening during quasibrittle failure.
Phys Rev E
September 2024
Institut Jean Le Rond D'Alembert (UMR 7190), Sorbonne Université & CNRS, Paris, France.
The intermittent damage evolution preceding the failure of heterogeneous brittle solids is well described by scaling laws. In deciphering its origins, failure is routinely interpreted as a critical transition. However at odds with expectations of universality, a large scatter in the value of the scaling exponents is reported during acoustic emission experiments.
View Article and Find Full Text PDFPeak effect and dynamics of stripe- and pattern-forming systems on a periodic one-dimensional substrate.
Phys Rev E
May 2024
Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
We examine the ordering, pinning, and dynamics of two-dimensional pattern-forming systems interacting with a periodic one-dimensional substrate. In the absence of the substrate, particles with competing long-range repulsion and short-range attraction form anisotropic crystal, stripe, and bubble states. When the system is tuned across the stripe transition in the presence of a substrate, we find that there is a peak effect in the critical depinning force when the stripes align and become commensurate with the substrate.
View Article and Find Full Text PDFPrediction of depinning transitions in interface models using Gini and Kolkata indices.
Phys Rev E
April 2024
Department of Physics, SRM University - AP, Andhra Pradesh 522240, India.
The intermittent dynamics of driven interfaces through disordered media and its subsequent depinning for large enough driving force is a common feature for a myriad of diverse systems, starting from mode-I fracture, vortex lines in superconductors, and magnetic domain walls to invading fluid in a porous medium, to name a few. In this work, we outline a framework that can give a precursory signal of the imminent depinning transition by monitoring the variations in sizes or the inequality of the intermittent responses of a system that are seen prior to the depinning point. In particular, we use measures traditionally used to quantify economic inequality, i.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!