聖塔非研究所

q-三元組可能的代數基礎的推廣

2017-02-01 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 The so called q triplets were conjectured in 2004 [C. Tsallis, Physica A 340, 1 (2004)] and then found in nature in 2005 [L.F. Burlaga, A.F. Vinas, Physica A 356, 375 (2005)]. A relevant …

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論文資訊

  • 類型:已發表論文
  • 日期:2017-02-01

摘要

The so called q-triplets were conjectured in 2004 [C. Tsallis, Physica A 340, 1 (2004)] and then found in nature in 2005 [L.F. Burlaga, A.F. Vinas, Physica A 356, 375 (2005)]. A relevant further step was achieved in 2005 [C. Tsallis, M. Gell-Mann, Y. Sato, PNAS 102, 15377 (2005)] when the possibility was advanced that they could reflect an entire infinite algebra based on combinations of the self-dual relations q -> 2 - q (additive duality) and q -> 1/q (multiplicative duality). The entire algebra collapses into the single fixed point q = 1, corresponding to the Boltzmann-Gibbs 熵 and 統計 mechanics. For q not equal 1, an infinite set of indices q appears, corresponding in principle to an infinite number of physical properties of a given 複雜系統 describable in terms of the so called q-statistics

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