Scaling laws for all Liapunov exponents: Models and measurements |
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| Authors: | Ricardo Lima Stefano Ruffo |
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| Affiliation: | (1) Centre de Physique Théorique (Laboratoire Propre, Centre National de la Recherche Scientifique, LP 7061), CNRS-Luminy, Marseille 09, France;(2) INFN, Sezione di Firenze, Lg. E. Fermi, 2, 50125 Firenze, Italy;(3) Facoltá di Scienze, MFN, Universitá della Basilicata Potenza, Italy |
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| Abstract: | We introduce simple diamond models of random symplectic matrices in order to study the scaling laws of all Liapunov exponents. These universal properties appear in physical problems that are modeled by transfer matrices: dynamical systems, random potentials, random fields, etc. Numerical experiments for the general case are in agreement with the results derived from the models. |
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| Keywords: | Random matrices Liapunov exponents symplectic maps diamond model |
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