Scale-Invariant Occupancy of Phase Space and Additivity of Nonextensive Entropy S_q  

作　　者：赵伟 伞冶 

机构地区：[1]Control and Simulation Center,Harbin Institute of Technology

出　　处：《Journal of Shanghai Jiaotong university(Science)》2010年第4期441-446,共6页上海交通大学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.60474069)

摘　　要：Phase space can be constructed for N equal and distinguishable binary subsystems which are correlated in a scale-invariant manner. In the paper, correlation coefficient and reduced probability are introduced to characterize the scale-invariant correlated binary subsystems. Probabilistic sets for the correlated binary subsystems satisfy Leibnitz triangle rule in the sense that the marginal probabilities of N-system are equal to the joint probabilities of the （N - 1）-system. For entropic index q ≠ 1, nonextensive entropy Sq is shown to be additive in the scale-invariant occupation of phase space.<Abstract>Phase space can be constructed for N equal and distinguishable binary subsystems which are correlated in a scale-invariant manner.In the paper,correlation coefficient and reduced probability are introduced to characterize the scale-invariant correlated binary subsystems.Probabilistic sets for the correlated binary subsys-tems satisfy Leibnitz triangle rule in the sense that the marginal probabilities of N-system are equal to the joint probabilities of the(N-1)-system.For entropic index q=1,nonextensive entropy Sq is shown to be additive in the scale-invariant occupation of phase space.

关 键 词：nonextensive entropy ADDITIVITY correlation SCALE-INVARIANCE 

分 类 号：O414.22[理学—理论物理]