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原文連結
論文資訊
- 類型：已發表論文
- 日期：2014-09-04
摘要
We show that size-rank distributions with power-law decay (often only over a limited extent) observed in a vast number of instances in a widespread family of systems obey Tsallis statistics. The theoretical framework for these distributions is analogous to that of a 非線性 iterated map near a tangent 分岔 for which the 李雅普諾夫 exponent is negligible or vanishes. The relevant 統計-mechanical expressions associated with these distributions are derived from a maximum 熵 principle with the use of two different constraints, and the resulting duality of 熵 indexes is seen to portray physically relevant 資訊. Whereas the value of the index a fixes the distribution's power-law exponent, that for the dual index 2 - alpha ensures the extensivity of the deformed 熵.
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