Scaling properties of Lyapunov spectra for the band random matrix model
Anno: 1996
Autori: Kottos T., Politi A., Izrailev FM., Ruffo S.
Affiliazione autori: Department of Physics, University of Crete, P.O. Box 2208, 71003 Heraklion-Crete, Greece;
Research Center of Crete, P.O. Box 2208, 71003 Heraklion-Crete, Greece
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto Nazionale di Fisica della Materia – Forum, Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Firenze, Italy;
Budker Institute of Nuclear Physics, Novosibirsk, Russia;
Dipartimento di Energetica, Università di Firenze, Firenze, Italy
Abstract: The transfer-matrix method is applied to quasi-one-dimensional disordered media described by a one-dimensional tight-binding Hamiltonian with long-range random interactions. We investigate the scaling properties of the whole Lyapunov spectrum in the limit of the interaction range b tending to infinity. Two different energy dependencies are found around the maximum and the minimum Lyapunov exponents. Moreover, a singular behavior in the lower part of the Lyapunov spectrum is found at the band edge. Finally, scaling properties of the fluctuations are also analyzed.
Giornale/Rivista: PHYSICAL REVIEW E
Volume: 53 (6) Da Pagina: R5553 A: R5556
Parole chiavi: Inverse Participation Ratio; Disordered-systems; Localization; Limit; ChaosDOI: 10.1103/PhysRevE.53.R5553Citazioni: 14dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui
