CAJ | 학술논문

讨论关于自组织临界性的Bak-Sneppen模型中的涨落与关联.通过引入系统的平均适应性,从涨落中发现了系综平均后的适应性对格点大小的依赖性,并利用这种依赖性得到了间距方程的解及临界指数.讨论了演化过程中最小适应值的位置的跳变.在演化中,跳变的距离的分布在零值处越来越突出,这表明相邻两次更新中的最小适应值的位置间的关联越来越强.将最小适应值位置的跳变与一种时空关联联系起来,并得到了一个关联函数的简单表达式.
토론관우자조직림계성적Bak-Sneppen모형중적창락여관련.통과인입계통적평균괄응성,종창락중발현료계종평균후적괄응성대격점대소적의뢰성,병이용저충의뢰성득도료간거방정적해급림계지수.토론료연화과정중최소괄응치적위치적도변.재연화중,도변적거리적분포재령치처월래월돌출,저표명상린량차경신중적최소괄응치적위치간적관련월래월강.장최소괄응치위치적도변여일충시공관련련계기래,병득도료일개관련함수적간단표체식.
The fluctuations and correlations in the Bak-Sneppen model for self-organized criticality are discussed. By introducing the mean fitness of the system, one can discover the lattice size dependence of the ensemble-averaged fitness from the fluctuations. From the size dependence one can find a solution of the gap-equation and then get the exponents for the model. We also investigate the flying of the minimum site in the updating process. The distribution of the fly distance becomes more and more sharp at 0, which shows the increase of the correlation between the minimum sites at two successive updates. We link a spatial-temporal correlation function with the flying and get a simple expression for the correlation function.