三体关联与次近邻两体关联下的渗流

本文用实空间重正群(RSRG)方法对二维三角格子的淬火体系,处理其在三体关联及最近邻与次近邻关联下的渗流问题。对于格点多体关联函数采用叠加近似,对于格点-空位多体关联是由几率守恒求出的。结果表明,引入三体关联或次近邻关联后,都并不改变临界现象的普适律。关键词：

PERCOLATION WITH 3-BODY OR NEXT NEAREST NEIGHBOR CORRELATIONS

The percolation problem for the 2-D triangular lattice of the quenched-correlated system is studied by using real-space renormalization group method. The many-body correlations for the occupied sites are considered by Kirkwood's superposition approximation approach and those for occupied and unoccupied sites by a procedure which holds the conservation of probability. The scheme is applied to the case including 3-body correlation and to that with next nearest neighboring correlations. Our conclusion is that, in either case the universality in critical phenomena of percolation ia unchanged, even some complicated correlations are involved.