Spectral Statistics: From Disordered to Chaotic Systems

Details Spectral Statistics: From Disordered to Chaotic Systems Spectral Statistics: From Disordered to Chaotic Systems

1995-09-17

arxiv.org/abs/cond-mat/9509102v1

Physics

Condensed Matter

uuencoded file with 1 eps figure, 4 pages

Scientific paper

10.1103/PhysRevLett.75.4389

The relation between disordered and chaotic systems is investigated. It is obtained by identifying the diffusion operator of the disordered systems with the Perron-Frobenius operator in the general case. This association enables us to extend results obtained in the diffusive regime to general chaotic systems. In particular, the two--point level density correlator and the structure factor for general chaotic systems are calculated and characterized. The behavior of the structure factor around the Heisenberg time is quantitatively described in terms of short periodic orbits.

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