Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-03-21
Phys. Rev. E, 67, 066205 (2003)
Nonlinear Sciences
Chaotic Dynamics
19 pages, 4 figures. Accepted for publication in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.67.066205
By extending the approach of Berry and Robnik, the limiting level spacing distribution of a system consisting of infinitely many independent components is investigated. The limiting level spacing distribution is characterized by a single monotonically increasing function $\bar{\mu}(S)$ of the level spacing $S$. Three cases are distinguished: (i) Poissonian if $\bar{\mu}(+\infty)=0$, (ii) Poissonian for large $S$, but possibly not for small $S$ if $0<\bar{\mu}(+\infty)< 1$, and (iii) sub-Poissonian if $\bar{\mu}(+\infty)=1$. This implies that, even when energy-level distributions of individual components are statistically independent, non-Poissonian level spacing distributions are possible.
Makino Hiroki
Tasaki Shuichi
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