A non-extensive approach to the time evolution of Lyapunov coefficients

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dc.creatorIgnaccolo, Massimiliano
dc.creatorGrigolini, Paolo
dc.date2000-04-10
dc.date.accessioned2026-07-07T02:37:20Z
dc.date.available2026-07-07T02:37:20Z
dc.descriptionWe study sporadic randomness by means of a non-extensive form of Lyapunov coefficient. We recover from a different perspective the same conclusion as that of an earlier work, namely, that the ordinary Pesin theorem applies (P.Gaspard and X.-J. Wang, Proc. Natl. Acad. Sci. USA {\bf85}, 4591 (1988)). However, our theoretical analysis allows us to organize the numerical calculations so as to reveal the slow transition from a temporary form of non-extensive thermodynamics, corresponding to the prediction of a recent paper (M. Buiatti, P. Grigolini, A. Montagnini, Phys. Rev. Lett {\bf 82}, 3383 (1999)), to the ordinary extensive thermodynamics. We show that the transition takes place with a slow decay corresponding to the regression from a non-equilibrium initial condition to equilibrium condition.
dc.description10 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0004155
dc.identifierhttp://arxiv.org/abs/cond-mat/0004155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16248
dc.subjectStatistical Mechanics
dc.titleA non-extensive approach to the time evolution of Lyapunov coefficients
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