1/f noise in the Two-Body Random Ensemble
Chaotic Dynamics
2008-12-18 v1 Mesoscale and Nanoscale Physics
Statistical Mechanics
Nuclear Theory
Abstract
We show that the spectral fluctuations of the Two-Body Random Ensemble (TBRE) exhibit 1/f noise. This result supports a recent conjecture stating that chaotic quantum systems are characterized by 1/f noise in their energy level fluctuations. After suitable individual averaging, we also study the distribution of the exponent \alpha in the 1/f^{\alpha} noise for the individual members of the ensemble. Almost all the exponents lie inside a narrow interval around \alpha=1 suggesting that also individual members exhibit 1/f noise, provided they are individually unfolded
Keywords
Cite
@article{arxiv.nlin/0405013,
title = {1/f noise in the Two-Body Random Ensemble},
author = {A. Relano and R. A. Molina and J. Retamosa},
journal= {arXiv preprint arXiv:nlin/0405013},
year = {2008}
}
Comments
4 pages, 3 figures, Accepted for publication in Phys. Rev. E