In this paper we report and discuss some recent results obtained investigating with numerical methods the celebrated Fermi--Pasta--Ulam model, a chain of non--linearly coupled oscillators with identical masses. We are interested in the evolution towards equipartition when energy is initially given to one or a few modes. Using the spectral entropy as a numerical indicator there is a strong suggestion that the relaxation time to equipartition increases exponentially with an inverse power of the specific energy. Such a scaling appears to remain valid in the thermodynamic limit.
|Titolo:||Relaxation times to equilibrium in Fermi-Pasta-Ulam system|
PALEARI, SIMONE (Primo)
PENATI, TIZIANO (Ultimo)
|Data di pubblicazione:||2005|
|Tipologia:||Book Part (author)|
|Appare nelle tipologie:||03 - Contributo in volume|