摘要
Based on the q-exponential distribution which has been observed in more and more physical systems, the uncertainty measure of such an abnormal distribution can be derived by employing a variational relationship which can be traced from the first and second thermodynamic laws. The uncertainty measure obtained here can be considered as the entropic form for the abnormal physical systems having observable q-exponential distribution. This entropy will tend to the Boltzmann-Gibbs entropy when the nonextensive parameter tends to unity. It is very important to find that this entropic form is always concave and the systemic entropy is maximizable.
Based on the q-exponential distribution which has been observed in more and more physical systems, the uncertainty measure of such an abnormal distribution can be derived by employing a variational relationship which can be traced from the first and se- cond thermodynamic laws. The uncertainty measure obtained here can be considered as the entropic form for the abnormal physi- cal systems having observable q-exponential distribution. This entropy will tend to the Boltzmann-Gibbs entropy when the non- extensive parameter tends to unity. It is very important to find that this entropic form is always concave and the systemic entropy is maximizable.
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
Fundamental Research Funds for the Central Universities (JB-SJ1005)
Programme of Introducing Talents of Discipline to Universities (B08033)
