On the fractal dimension of orbits compatible with Tsallis statistics
نویسنده
چکیده
In a previous paper (1) it was shown how, for a dynamical system, the probability distribution function of the sojourn–times in phase–space, defined in terms of the dynamical orbits (up to a given observation time), induces unambiguously a statistical ensemble in phase–space. In the present paper it is shown which is the p.d.f. of the sojourn–times corresponding to a Tsallis ensemble (this, by the way, requires the solution of a problem of a general character, disregarded in paper (1)). In particular some qualitative properties, such as the fractal dimension, of the dynamical orbits compatible with the Tsallis ensembles are indicated. keyword Time–averages, non-equilibrium thermodynamics, Tsallis distributions
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