A Simple Model of Superconducting Vortex Avalanches
统计力学
2016-08-31 v2 adap-org
无序系统与神经网络
超导电性
适应与自组织系统
摘要
We introduce a simple lattice model of superconducting vortices driven by repulsive interactions through a random pinning potential. The model describes the behavior at the scale of the London length lambda or larger. It self-organizes to a critical state, characterized by a constant flux density gradient, where the activity takes place in terms of avalanches spanning all length scales up to the system size. We determine scaling relations as well as four universal critical exponents for avalanche moments and durations: tau = 1.63 +/- 0.02, D = 2.7 +/- 0.1, z = 1.5 +/- 0.1, and tau_t = 2.13 +/- 0.14, for the system driven at the boundary.
引用
@article{arxiv.cond-mat/9804249,
title = {A Simple Model of Superconducting Vortex Avalanches},
author = {Kevin E. Bassler and Maya Paczuski},
journal= {arXiv preprint arXiv:cond-mat/9804249},
year = {2016}
}
备注
4 pages, 4 postscript figures included, minor revisions