STUDY OF THE TWO-DIMENSIONAL NEXT-NEAREST-NEIG-HBOUR PERCOLATION MODEL | Zendy

QU Shao-hua | Zendy; Yao Kai-Lun | Zendy; Boming Yu | Zendy

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STUDY OF THE TWO-DIMENSIONAL NEXT-NEAREST-NEIG-HBOUR PERCOLATION MODEL

Author(s) -

QU Shao-hua,

Yao Kai-Lun,

Boming Yu

Publication year - 1991

Publication title -

acta physica sinica

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.

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