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http://bura.brunel.ac.uk/handle/2438/8908
Title: | Statistics of resonance states in open chaotic systems: A perturbative approach |
Authors: | Poli, C Savin, DV Legrand, O Mortessagne, F |
Keywords: | Open chaotic systems;Fluctuations;Oscillations;Perturbation theory;Resonance;Statistical mechanics |
Issue Date: | 2009 |
Publisher: | American Physical Society |
Citation: | Physical Review E, 80(4): Article no. 046203, 2009 |
Abstract: | We investigate the statistical properties of the complexness parameter which characterizes uniquely complexness (nonorthogonality) of resonance eigenstates of open chaotic systems. Specifying to the regime of weakly overlapping resonances, we apply the random matrix theory to the effective Hamiltonian formalism and derive analytically the probability distribution of the complexness parameter for two statistical ensembles describing the systems invariant under time reversal. For those with rigid spectra, we consider a Hamiltonian characterized by a picket-fence spectrum without spectral fluctuations. Then, in the more realistic case of a Hamiltonian described by the Gaussian orthogonal ensemble, we reveal and discuss the role of spectral fluctuations. |
Description: | Copyright © 2009 The American Physical Society. |
URI: | http://journals.aps.org/pre/abstract/10.1103/PhysRevE.80.046203 http://bura.brunel.ac.uk/handle/2438/8908 |
DOI: | http://dx.doi.org/10.1103/PhysRevE.80.046203 |
ISSN: | 1539-3755 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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