2010/03/29 by M. Leo, R. A. Leo, P. Tempesta · 1 citation
Physics and Astronomy · #nlin.CD
paper · pdf · doi:10.1088/1742-5468/2010/04/p04021
15 pages, 5 figures
arxiv created 2010/03/29 · arxiv updated 2015/05/18
We consider a π-mode solution of the Fermi-Pasta-Ulam β system. By perturbing it, we study the system as a function of the energy density from a regime where the solution is stable to a regime, where is unstable, first weakly and then strongly chaotic. We introduce, as indicator of stochasticity, the ratio ρ (when is defined) between the second and the first moment of a given probability distribution. We will show numerically that the transition between weak and strong chaos can be interpreted as the symmetry breaking of a set of suitable dynamical variables. Moreover, we show that in the region of weak chaos there is numerical evidence that the thermostatistic is governed by the Tsallis distribution.