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Scaling laws for all Liapunov exponents: Models and measurements

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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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Authors and Affiliations

  1. Centre de Physique Théorique (Laboratoire Propre, Centre National de la Recherche Scientifique, LP 7061), CNRS-Luminy, Marseille 09, France

    Ricardo Lima & Stefano Ruffo

  2. INFN, Sezione di Firenze, Lg. E. Fermi, 2, 50125, Firenze, Italy

    Stefano Ruffo

  3. Facoltá di Scienze, MFN, Universitá della Basilicata Potenza, Italy

    Stefano Ruffo

Authors
  1. Ricardo Lima
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  2. Stefano Ruffo
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Lima, R., Ruffo, S. Scaling laws for all Liapunov exponents: Models and measurements. J Stat Phys 52, 259–265 (1988). https://doi.org/10.1007/BF01016413

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  • DOI: https://doi.org/10.1007/BF01016413

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