摘要
将传统的阶乘矩统计方法推广到分割数或相空间元胞大小连续变化的情形，发现以往元胞大小分立变化的随机级联α模型存在＂链条效应＂，没有连续的标度率．考虑到实验过程及实际测量情况，对模型进行了切合实际的改进，让相空间的大小和位置随机起伏．这样得到的分形体，在相空间范围的起伏足够大时，有较好的标度不变性．能达到这一要求的相空间范围起伏的临界值，对模型参数α不敏感．用ＭｏｎｔｅＣａｒｌｏ模拟证明了，相空间范围的起伏对模型的反常标度指数影响不大．
The traditional method of calculating factorial moments with discretely diminishingscale is generalized to the case of continuously varying scale. It is shown that the random cascading model currently used has a 'Chain effect' With continuouslydiminishing scale. Taking the actual processes of experiment into account, a revisedmodel is proposed which can give good scaling property also for continuously varyingscale when the volume and location of phase space region in consideration arefluctuating randomly. The fluctuation parameter of phase space region meeting thiscondition is insensitive to the model parameter α. This kind of fluctuation of phasespace is proved via Monte Carlo simulation to have no big influence upon the anomalous scale index.
出处
《高能物理与核物理》
CSCD
北大核心
1996年第8期715-722,共8页
High Energy Physics and Nuclear Physics
基金
国家自然科学基金
国家教委优秀年轻教师基金
武汉市青年科技晨光计划资助
关键词
高能碰撞
间歇现象
标度不变性
分形
high energy collision, intermittency, anomalous scaling, fractal,random cascading model, Monte Carlo simulation.
