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論文資訊
- 類型：已發表論文
- 日期：2022-11-25
摘要
Several generalizations or extensions of the Boltzmann–Gibbs thermostatistics, based on non-standard entropies, have been the focus of considerable research activity in recent years. Among these, the power-law, non-additive entropies ?? ≡ ?1−∑?????−1 (? ∈ ℝ; ?1 = ??? ≡ −? ∑? ?? ln ??) features of the ?? thermostatistics, therefore, are worthy of close scrutiny. In the present work, we analyze one of these features, according to which the q-logarithm function ln? ? ≡ ?1 − ? − 11 −? (ln1 ? = ln?) associated with the ?? 熵 is linked, via a duality relation, to the q-exponential function characterizing the maximum-熵 probability distributions. We enquire into which entropic functionals lead to this or similar structures, and investigate the co
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