Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-02-18
Physics
Condensed Matter
Statistical Mechanics
Proceedings of: 31st Workshop of the International School of Solid State Physics, Complexity, Metastability and Nonextensivity
Scientific paper
First, we analyze trajectories inside the Feigenbaum attractor and obtain the atypical weak sensitivity to initial conditions and loss of information associated to their dynamics. We identify the Mori singularities in its Lyapunov spectrum with the appearance of a special value for the entropic index q of the Tsallis statistics. Secondly, the dynamics of iterates at the noise-perturbed transition to chaos is shown to exhibit the characteristic elements of the glass transition, e.g. two-step relaxation, aging, subdiffusion and arrest. The properties of the bifurcation gap induced by the noise are seen to be comparable to those of a supercooled liquid above a glass transition temperature.
Baldovin Fulvio
Mayoral E.
Robledo Alberto
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