A Simple Model of Superconducting Vortex Avalanches
Statistical Mechanics
2016-08-31 v2 adap-org
Disordered Systems and Neural Networks
Superconductivity
Adaptation and Self-Organizing Systems
Abstract
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.
Keywords
Cite
@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}
}
Comments
4 pages, 4 postscript figures included, minor revisions