Please use this identifier to cite or link to this item:
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.
ISSN: 1539-3755
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

Files in This Item:
File Description SizeFormat 
Fulltext.pdf233.47 kBAdobe PDFView/Open

Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.