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原文連結
論文資訊
- 類型：已發表論文
- 日期：2008
摘要
The standard central limit theorem plays a fundamental role in Boltzmann-Gibbs 統計 mechanics. This important physical theory has been generalized [1] in 1988 by using the 熵 S-q = 1-Sigma(i)p(i)(q)/q-1 (with q is an element of R) instead of its particular BG case S-1 = S-BG = - Sigma(i)p(i)lnp(i). The theory which emerges is usually referred to as nonextensive 統計 mechanics and recovers the standard theory for q = 1. During the last two decades, this q-generalized 統計 mechanics has been successfully applied to a considerable amount of physically interesting complex phenomena. A conjecture[ 2] and numerical indications available in the literature have been, for a few years, suggesting the possibility of q- versions of the standard central limit theorem by allowing the random variables that are
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