Periodic orbit theory in fractal drum
Disordered Systems and Neural Networks
2009-11-11 v1 Statistical Mechanics
Abstract
The level statistics of pseudointegrable fractal drums is studied numerically using periodic orbit theory. We find that the spectral rigidity , which is a measure for the correlations between the eigenvalues, decreases to quite small values (as compared to systems with only small boundary roughness), thereby approaching the behavior of chaotic systems. The periodic orbit results are in good agreement with direct calculations of from the eigenvalues.
Keywords
Cite
@article{arxiv.cond-mat/0502059,
title = {Periodic orbit theory in fractal drum},
author = {Stefanie Russ and Jesper Mellenthin},
journal= {arXiv preprint arXiv:cond-mat/0502059},
year = {2009}
}
Comments
to appear in Physica A