Spectral Form Factor for Chaotic Dynamics in a Weak Magnetic Field

Details Spectral Form Factor for Chaotic Dynamics in a Weak Magnetic Field Spectral Form Factor for Chaotic Dynamics in a Weak Magnetic Field

2005-05-26

arxiv.org/abs/nlin/0505055v3

Physics Letters A, vol. 352, 380 (2006)

Nonlinear Sciences

Chaotic Dynamics

13 pages, 3 figures

Scientific paper

10.1016/j.physleta.2005.12.027

Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian Orthogonal Ensemble) and the GUE (Gaussian Unitary Ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.

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