Scaling laws for all Liapunov exponents: Models and measurements
Journal Article
·
· Journal of Statistical Physics; (USA)
- CNRS-Luminy, Marseille (France)
The authors 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.
- OSTI ID:
- 5504525
- Journal Information:
- Journal of Statistical Physics; (USA), Journal Name: Journal of Statistical Physics; (USA) Vol. 52:1-2; ISSN 0022-4715; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CARBON
CRYSTAL MODELS
DIAMONDS
ELEMENTAL MINERALS
ELEMENTS
HAMILTONIANS
LIE GROUPS
LYAPUNOV METHOD
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
MINERALS
NONMETALS
QUANTUM OPERATORS
RANDOMNESS
SCALING LAWS
SMOOTH MANIFOLDS
SP GROUPS
STATISTICAL MECHANICS
SYMMETRY GROUPS
TENSORS
TOPOLOGICAL MAPPING
TRANSFORMATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CARBON
CRYSTAL MODELS
DIAMONDS
ELEMENTAL MINERALS
ELEMENTS
HAMILTONIANS
LIE GROUPS
LYAPUNOV METHOD
MAPPING
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
MINERALS
NONMETALS
QUANTUM OPERATORS
RANDOMNESS
SCALING LAWS
SMOOTH MANIFOLDS
SP GROUPS
STATISTICAL MECHANICS
SYMMETRY GROUPS
TENSORS
TOPOLOGICAL MAPPING
TRANSFORMATIONS