<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 introd...<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.展开更多
基金the National Natural Science Foundation of China(No.60474069)
文摘<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.
