Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-10-24
Physics
Condensed Matter
Statistical Mechanics
11 pages
Scientific paper
For a random variable we can define a variational relationship with practical physical meaning as dI=dbar(x)-bar(dx), where I is called as uncertainty measurement. With the help of a generalized definition of expectation, bar(x)=sum_(i)g(p_i)x_i, and the expression of dI, we can find the concrete forms of the maximizable entropies for any given probability distribution function, where g(p_i) may have different forms for different statistics which includes the extensive and nonextensive statistics.
Chen Jincan
Kaabouchi Aziz El
Mehaute Alain Le
Ou Congjie
Wang Qiuping A.
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