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原文連結
論文資訊
- 類型：已發表論文
- 日期：2013-11-06
摘要
Under the assumption that the physically appropriate 熵 of generic 複雜系統s satisfies 熱力學 extensivity, we investigate the recently introduced 熵 S-delta (which recovers the usual Boltzmann-Gibbs form for delta = 1) and establish the microcanonical and canonical extremizing distributions. Using a generalized version of the H theorem, we find the 非線性 Fokker-Planck equation associated with that entropic functional and calculate the stationary-state probability distributions. We demonstrate that both approaches yield one and the same equation, which in turn uniquely determines the probability distribution. We show that the equilibrium distributions asymptotically behave like stretched exponentials, and that, in appropriate probability-energy variables, an interesting return occurs at delta = 4/3. A
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