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論文資訊
- 類型：已發表論文
- 日期：2023-07-24
摘要
For strongly chaotic classical systems, a basic 統計-mechanical connection is provided by the averaged Pesin-like identity (the production rate of the Boltzmann-Gibbs 熵 SBG = -∑i=1Wpi lnpi equals the sum of the positive 李雅普諾夫 exponents). In contrast, at a generic edge of 混沌 (vanishing maximal 李雅普諾夫 exponent) we have a subexponential divergence with time of initially close orbits. This typically occurs in complex natural, artificial and 社會 systems and, for a wide class of them, the appropriate 熵 is the nonadditive one Sqe = 1 -∑i=1W piqe/qe - 1 (S1 =SBG) with qe ≤ 1 . For such weakly chaotic systems, power-law divergences emerge involving a set of microscopic indices {qk } 's and the associated generalized 李雅普諾夫 coefficients. We establish the connection between these quantities and (qe ,Kqe)
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