In a recent paper [M. Leo, R.A. Leo, P. Tempesta, C. Tsallis, Physical Review E 85 (2012) 031149], the existence of quasi-stationary states for the Fermi-Pasta-Ulam β system has been shown numerically, by analyzing the stability properties of the N/4-mode exact nonlinear solution. Here we study the energy distribution of the modes N/4, N/3 and N/2, when they are unstable, as a function of N and of the initial excitation energy. We observe that the classical Boltzmann weight is repaced by a different weight, expressed by a q-exponential function.
A non-Boltzmannian behaviour of the energy distribution for quasi-stationary regimes of the Fermi-Pasta-Ulam β system
LEO, Mario;LEO, Rosario Antonio;
2013-01-01
Abstract
In a recent paper [M. Leo, R.A. Leo, P. Tempesta, C. Tsallis, Physical Review E 85 (2012) 031149], the existence of quasi-stationary states for the Fermi-Pasta-Ulam β system has been shown numerically, by analyzing the stability properties of the N/4-mode exact nonlinear solution. Here we study the energy distribution of the modes N/4, N/3 and N/2, when they are unstable, as a function of N and of the initial excitation energy. We observe that the classical Boltzmann weight is repaced by a different weight, expressed by a q-exponential function.File in questo prodotto:
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