用修正后的主方程计算BA模型度分布的探讨

Calculation for Degree Distribution of the Model BA by Amendment of Master Equation

提出了对原始的Master方程进行修正,加入了节点增长机制,修正后的Master方程具有离散性,能够更精确、更有效地计算真实复杂网络的度分布演化规律.用修正的Master方程分析BA模型度分布的解析式并计算,由此得出BA模型度分布对数图.把离散性的Master方程与连续性的平均场理论进行对比分析,并在同一坐标系下分别作出用2种理论计算的BA模型度分布的对数图.

An amendment to the original Master equation and add a mechanism for node increases is be put forward.The modified Master equation is of discreteness,which is more accurate,more efficient to calculate the evolution law of degree distribution of real complex network.The analysis formula of degree distribution of model BA and its calculation by the modified Master equation is discussed.From this we get the logarithmic figure of degree distribution of model BA.Then we make a compassion between the discrete Master equation and mean-field theory,and get logarithmic figure of degree distribution of model BA with two kinds calculative theory in the same coordinate system.