Universal fluctuations and extreme statistics of avalanches near the depinning transition

被引：56

作者：

LeBlanc, Michael ^{[1
]}

Angheluta, Luiza ^{[1
,2
]}

Dahmen, Karin ^{[1
]}

Goldenfeld, Nigel ^{[1
]}

机构：

[1] Univ Illinois, Dept Phys, Loomis Lab Phys, Urbana, IL 61801 USA

[2] Univ Oslo, Dept Phys, N-0316 Oslo, Norway

来源：

PHYSICAL REVIEW E | 2013年 / 87卷 / 02期

基金：

美国国家科学基金会;

关键词：

DISLOCATION AVALANCHES; DOMAIN-WALL; DYNAMICS; EXPONENTS; SYSTEMS; DEFORMATION; MAXIMUM; TERM; FLOW;

D O I：

10.1103/PhysRevE.87.022126

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We derive exact predictions for universal scaling exponents and scaling functions associated with the statistics of maximum velocities v(m) during avalanches described by the mean-field theory of the interface depinning transition. In particular, we find a robust power-law regime in the statistics of maximum events that can explain the observed distribution of the peak amplitudes in acoustic emission experiments of crystal plasticity. Our results are expected to be broadly applicable to a broad range of systems in the mean-field interface depinning universality class, ranging from magnets to earthquakes. DOI: 10.1103/PhysRevE.87.022126

引用

页数：13

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