Open AccessSTUDY OF THE TWO-DIMENSIONAL NEXT-NEAREST-NEIG-HBOUR PERCOLATION MODEL
Author(s) -
Qu Shao-Hua,
Yao Kai-Lun,
Yu Bo-Ming
Publication year - 1991
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.40.169
Subject(s) - statistical physics , nearest neighbour , percolation critical exponents , renormalization group , square lattice , percolation threshold , directed percolation , monte carlo method , percolation (cognitive psychology) , critical exponent , universality (dynamical systems) , continuum percolation theory , lattice (music) , physics , condensed matter physics , computer science , mathematics , phase transition , mathematical physics , quantum mechanics , statistics , artificial intelligence , ising model , electrical resistivity and conductivity , neuroscience , acoustics , biology
In this paper, we use the renormalisation group approach and Monte-Carlo simulation to treat the problem of percolation on a two-dimensional square lattice with next-nearest-neighbour interactions. The critical probability pc and the critical exponents α,β,γ and so forth are obtained. It is shown that the two-dimensional percolation problem with next-nearest-neighbour interactions belongs to different universality class from that only with nearest-neighbour interactions.