00 5 v 1 3 1 M ay 1 99 9 FINITE TIMES TO EQUIPARTITION IN THE THERMODYNAMIC LIMIT

We study the time scale T to equipartition in a 1D lattice of N masses coupled by quartic nonlinear (hard) springs (the Fermi-Pasta-Ulam β model). We take the initial energy to be either in a single mode γ or in a package of low frequency modes centered at γ and of width δγ, with both γ and δγ proportional to N. These initial conditions both give, for… CONTINUE READING