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原文連結
論文資訊
- 類型：已發表論文
- 日期：2016-03-29
摘要
We analyze the distribution that extremizes a linear combination of the Boltzmann-Gibbs 熵 and the nonadditive q-熵. We show that this distribution can be expressed in terms of a Lambert function. Both the entropic functional and the extremizing distribution can be associated with a 非線性 Fokker-Planck equation obtained from a master equation with 非線性 transition rates. Also, we evaluate the 熵 extremized by a linear combination of a Gaussian distribution (which extremizes the Boltzmann-Gibbs 熵) and a q-Gaussian distribution (which extremizes the q-熵). We give its explicit expression for q = 0, and discuss the other cases numerically. The 熵 that we obtain can be expressed, for q = 0, in terms of Lambert functions, and exhibits a discontinuity in the second derivative for all values of q < 1. The
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