聖塔非研究所

摘要 The probability distributions and associated Fokk

2014-05-23 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The probability distributions and associated Fokker Planck equation of the recently postulated entropic form, S q,S delta, are investigated. This 熵 was proposed as an unification of the w…

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  • 類型:已發表論文
  • 日期:2014-05-23

摘要

The probability distributions and associated Fokker-Planck equation of the recently postulated entropic form, S-q,S-delta, are investigated. This 熵 was proposed as an unification of the well-known S-q of nonextensive-統計 mechanics and S-delta, which appeared lately as a possibly appropriate candidate for the black-hole 熵. The connection between S-q,S- delta and a 非線性 Fokker-Planck equation, such as to satisfy an H-theorem, is explored. The stationary-state probability distribution follows a transcendental equation, which is solved numerically for typical values of q and delta. The same transcendental equation is obtained through the maximum-熵 principle, showing that the two procedures are equivalent.

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