Nonextensive entropies derived from form invariance of pseudoadditivity.
Nonextensive entropies derived from form invariance of pseudoadditivity.
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由伪可加性的形式不变性导出的非广延熵。
DOI：
10.1103/physreve.65.066118
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
H. Suyari
中科院分区：
文献类型：
--
作者：
H. Suyari
证明了伪可加性的形式不变性决定了非广延熵的结构。非广延熵定义为非广延信息量的适当期望值，类似于香农熵的定义。用伪可加性代替通常的可加性，从广义公理出发，得到了非广延系统的信息量。满足非广延熵的伪可加性及其信息量的形式不变性要求非广延熵的归一化。所提出的原则需要与先前导出的相同的归一化[A.K. Rajagopal和S. Abe，Phys. Rev. Lett. 83，1711（1999）]，但更简单，并建立了一个基础的系统定义的各种熵在非广延系统。
The form invariance of pseudoadditivity is shown to determine the structure of nonextensive entropies. Nonextensive entropy is defined as the appropriate expectation value of nonextensive information content, similar to the definition of Shannon entropy. Information content in a nonextensive system is obtained uniquely from generalized axioms by replacing the usual additivity with pseudoadditivity. The satisfaction of the form invariance of the pseudoadditivity of nonextensive entropy and its information content is found to require the normalization of nonextensive entropies. The proposed principle requires the same normalization as that derived previously [A.K. Rajagopal and S. Abe, Phys. Rev. Lett. 83, 1711 (1999)], but is simpler and establishes a basis for the systematic definition of various entropies in nonextensive systems.