Generalized entropies under different probability normalization conditions

• 来源期刊: 科学通报(英文版)
• 学科: 物理学
• 年，卷（期）: 2011,（34）
• 页码范围: 3649-3653
• 页数: 5页
• 分类号: O414.11
• 语种: 中文

摘要

Tsallis entropy and incomplete entropy are proven to have equivalent mathematical structure except for one nonextensive factor q through variable replacements on the basis of their forms. However, employing the Lagrange multiplier method, it is judged that neither yields the q-exponential distributions that have been observed for many physical systems. Consequently, two generalized entropies under complete and incomplete probability normalization conditions are proposed to meet the experimental observations. These two entropic forms are Lesche stable, which means that both vary continuously with probability distribution functions and are thus physically meaningful.