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Relaxation to different stationary states in the Fermi-Pasta-Ulam model

Livi, R.
•
Pettini, M.
•
Ruffo, S.
altro
Vulpiani, A.
1983
  • journal article

Periodico
PHYSICAL REVIEW A, GENERAL PHYSICS
Abstract
The Fermi-Pasta-Ulam model has been studied following the time evolution of the space Fourier spectrum through the numerical integration of the equations of motion for a system of 128 non-linearly coupled oscillators. One-mode and multimode excitations have been considered as initial conditions; in the former case, an approximate analytic technique has been applied to describe the "short-time" behavior of the system, which fits well the experiment. The main result in both cases is the presence of different stationary states towards which the system is evolving: a 1/k2 spectrum (corresponding to the equipartition of energy) or an exponential spectrum can be reached, depending on the value of some parameter, which takes into account the relative weight of the nonlinear to the linear term of the equations of motion.
DOI
10.1103/PhysRevA.28.3544
WOS
WOS:A1983RT60900041
SCOPUS
2-s2.0-0000701062
Archivio
http://hdl.handle.net/20.500.11767/17160
Diritti
metadata only access
Soggetti
  • Settore FIS/03 - Fisi...

Scopus© citazioni
69
Data di acquisizione
Jun 7, 2022
Vedi dettagli
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