期刊论文

中文

中国物理C

1674-1137

1996

20

1

65-75

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；

本校为第一机构

对二维相空间的自仿射α模型,进行详细的讨论,导出了Hurst指数H=0.5的自仿射分形按自相似统计的归一化几率矩C~2_N和C~3_N的解析表达式.通过解析计算模型基元几率的各阶矩以及相关矩,得到在自相似统计下的Levy稳定性指数,并将它和原模型的Levy指数进行比较.用Monte Carlo模拟验算解析计算的结果,发现两者一致,同时也定性地解释了NA22实验相关于二维相空间的最新实验数据.

The self-affine α-model in 2-dimensional phase space is discussed in some detail.The analytic expression of the normalized probability moments,and,are deduced for the self-similar analysis of a self-affine fractal object with Hurst index equal to 0.5.The Levy stability indices for both the self-similar and the self-affine analyses of 2-D self-affine model are calculated. The result of Monte Carlo simulation is shown to be consistent with that of analytic calculation.The recent experiment...