One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
Disordered Systems and Neural Networks
2010-04-28 v1 Statistical Mechanics
Adaptation and Self-Organizing Systems
Abstract
We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scaling law. Our approach opens a new way to investigate the interplay of Anderson localization and nonlinearity based on the powerful ideas of scaling theory.
Cite
@article{arxiv.1003.1959,
title = {One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems},
author = {Joshua D. Bodyfelt and Tsampikos Kottos and Boris Shapiro},
journal= {arXiv preprint arXiv:1003.1959},
year = {2010}
}
Comments
5 pages, 3 figures submitted to Physical Review Letters