Bond percolation and the Yang-Lee edge singularity problems in three dimensions
Bond percolation and the Yang-Lee edge singularity problems in three dimensions
复制标题
三维键渗流和 Yang-Lee 边缘奇点问题
DOI：
10.1088/0305-4470/15/9/015
复制
发表时间：
1982
期刊：
影响因子：
--
通讯作者：
J. Reeve
中科院分区：
文献类型：
--
作者：
J. Reeve
本文用三线性相互作用场论来描述临界状态下的三维随机键渗流问题和Yang-Lee边奇异性问题。重正化群函数被计算为四阶指数eta，omega和beta函数，以及五阶其余的临界指数。临界耦合常数和渗流理论的指数的估计发现通过求和保角变换的Borel变换系列。
Field theories with a trilinear interaction are used to describe both the random bond percolation problem and the Yang-Lee edge singularity problems in three dimensions at criticality. Renormalisation group functions are calculated to order four for the exponents eta , omega and the beta function, and to order five for the remaining critical exponents. Estimations of the critical coupling constant and the exponents for percolation theory are found by summing conformal transformations of the Borel transformed series.