Relaxation of classical many-body Hamiltonians in one dimension
Author:
- 1 December 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 58 (6) , 7165-7171
Abstract
The relaxation of Fourier modes of Hamiltonian chains close to equilibrium is studied in the framework of a simple mode-coupling theory. Explicit estimates of the dependence of relevant time scales on the energy density (or temperature) and on the wave number of the initial excitation are given. They are in agreement with previous numerical findings on the approach to equilibrium and turn out to be also useful in the qualitative interpretation of them. The theory is compared with molecular dynamics results in the case of the quartic Fermi-Pasta-Ulam potential.Keywords
All Related Versions
This publication has 16 references indexed in Scilit:
- On the approach to equilibrium of a Hamiltonian chain of anharmonic oscillatorsEurophysics Letters, 1997
- Low-energy chaos in the Fermi - Pasta - Ulam problemNonlinearity, 1997
- Heat Conduction in Chains of Nonlinear OscillatorsPhysical Review Letters, 1997
- Energy diffusion due to nonlinear perturbation on linear HamiltoniansPhysical Review E, 1996
- Nearly separable behavior of Fermi-Pasta-Ulam chains through the stochasticity thresholdJournal of Statistical Physics, 1995
- Energy transitions and time scales to equipartition in the Fermi-Pasta-Ulam oscillator chainPhysical Review E, 1995
- Equipartition thresholds in chains of anharmonic oscillatorsJournal of Statistical Physics, 1994
- Ergodicity and Time-Scales for Statistical Equilibrium in Classical Dynamical SystemsProgress of Theoretical Physics Supplement, 1994
- Strong stochasticity threshold in nonlinear large Hamiltonian systems: Effect on mixing timesPhysical Review A, 1991
- Time dependent correlation functions and mode-mode coupling theoriesPhysics Reports, 1975