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APS » Journals » Phys. Rev. Lett. » Volume 74 » Issue 3
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Phys. Rev. Lett. 74, 375–378 (1995)

Gaussian Model for Chaotic Instability of Hamiltonian Flows

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Lapo Casetti*
Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

Roberto Livi†
Dipartimento di Fisica, Università di Bologna, Via Irnerio 46, 40126 Bologna, Italy

Marco Pettini‡
Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, 50125 Firenze, Italy

Received 2 November 1993; published in the issue dated 16 January 1995

A general method to describe Hamiltonian chaos in the thermodynamic limit is presented which is based on a model equation independent of the dynamics. This equation is derived from a geometric approach to Hamiltonian chaos recently proposed, and provides an analytic estimate of the largest Lyapunov exponent λ. The particular case of the Fermi-Pasta-Ulam β-model Hamiltonian is considered, showing an excellent agreement between the values of λ predicted by the model and those obtained with computer simulations of the tangent dynamics.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.74.375
DOI:
10.1103/PhysRevLett.74.375
PACS:
05.45.+b, 03.20.+i, 05.20.-y

*Also at I.N.F.N., Sezione di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy. Electronic address: casetti@sns.it

†Also at I.N.F.N., Sezione di Bologna, Via Irnerio 46, 40126 Bologna, Italy, and I.N.F.M., Sezione di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy. Electronic address: livi@bo.infn.it

‡Also at I.N.F.N., Sezione di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy, and I.N.F.M., Sezione di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy. Electronic address: pettini@arcetri.astro.it

 
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