三维各向异性渗流模型研究  

Study of the Three-dimensional Anisotropy Percolation Model

作　　者：屈少华[1] 

机构地区：[1]襄樊学院物理系,湖北襄樊441053

出　　处：《襄樊学院学报》2001年第5期25-28,共4页Journal of Xiangfan University

摘　　要：采用位置空间重整化群和蒙特─卡罗模拟方法,研究了三维各向异性渗流模型. 分别计算出其临界值pc和临界指数a、b、g、d、n、h、D等值. 结果表明:三维次近邻各向异性渗流问题与最近邻各向同性的渗流问题属于不同的普适类;临界指数仅与格点内部的联接方式有关.The renormalization group approach and Monte-Carlo simulation are used to treat the problem of percolation on a three-dimensional anisotropy percolation. the critical probability Pc and the critical exponents a` b` g` d` n and so forth are obtained. The results are shown: [1] The Three-dimensional anisotropy percolation problem belongs to different universality class from that only of nearest-neighbor interaction. [2] The critical exponents relative to link way of lattices inside only.

关 键 词：三维各向异性渗流 临界值 临界指数 位置空间重整化群 蒙特-卡罗模拟 渗流理论 

分 类 号：O357.3[理学—流体力学]