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 Lagran...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.展开更多
基金supported by the National Natural Science Foundation of China (11005041)Natural Science Foundation of Fujian Province (2010J05007)Scientific Research Foundation for the Returned Overseas Chinese Scholars and Basic Science Research Foundation of Huaqiao University (JB-SJ1005)
文摘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.
