Abstract
We present numerical experiments on Hamiltonian nonlinear chains at fixed specific energy in the stochastic domain with a growing number of degrees of freedom, up to N = 2048. Previous results on the rates of changes of action variables, with reference to translational invariance, are confirmed and specified. Furthermore, for models with other conserved quantities beside energy, an increasing number of degrees of freedom shows an increasing deviation from equipartition. Globally, the approach to equilibrium seems to be slower at larger N. This could cast a shadow over the effectiveness of stochasticity for systems with bounded spectrum and infinite degrees of freedom.
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