Data di Pubblicazione:
2008
Citazione:
On the fractal dimension of orbits compatible with the Tsallis statistics / A. Carati. - In: PHYSICA. A. - ISSN 0378-4371. - 387:7(2008 Mar), pp. 1491-1503.
Abstract:
In a previous paper [A. Carati, Physica A 348 (2005) 110-120] it was shown how, for a dynamical system, the probability distribution function of 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, the p.d.f. of the sojourn-times corresponding to a Tsallis ensemble is obtained (this, by the way, requires the solution of a problem of a general character, disregarded in paper [A. Carati, Physica A 348 (2005) 110-120]). In particular some qualitative properties, such as the fractal dimension, of the dynamical orbits compatible with the Tsallis ensembles are indicated.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Non-equilibrium thermodynamics; Time-averages; Tsallis distributions
Elenco autori:
A. Carati
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