Scaling with System Size of the Lyapunov Exponents for the Hamiltonian Mean Field Model

DOI10.1080/00411450.2011.651035zbMath1257.82032arXiv1006.5341OpenAlexW2159555068WikidataQ61763137 ScholiaQ61763137MaRDI QIDQ4906397

Stefano Ruffo, Thanos Manos

Publication date: 11 February 2013

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5341

zbMATH Keywords

chaosLyapunov exponentsphase transitionlong-range interactionsVlasov equation

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (5)

Anomalous diffusion in single and coupled standard maps with extensive chaotic phase spaces ⋮ Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method ⋮ EFFICIENT INTEGRATION OF THE VARIATIONAL EQUATIONS OF MULTIDIMENSIONAL HAMILTONIAN SYSTEMS: APPLICATION TO THE FERMI–PASTA–ULAM LATTICE ⋮ PROBING THE LOCAL DYNAMICS OF PERIODIC ORBITS BY THE GENERALIZED ALIGNMENT INDEX (GALI) METHOD ⋮ Lyapunov exponent and criticality in the Hamiltonian mean field model

Cites Work

• Geometry and topology in Hamiltonian dynamics and statistical mechanics
• Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method
• Connectance and stability of nonlinear symplectic systems
• Application of the GALI method to localization dynamics in nonlinear systems
• Chaos and statistical mechanics in the Hamiltonian mean field model.
• Chaos suppression in the large size limit for long-range systems
• The accuracy of symplectic integrators
• Statistical-mechanical formulation of Lyapunov exponents
• Classical spin systems with long-range interactions: universal reduction of mixing
• Metastable states in a class of long-range Hamiltonian systems

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