Renormalization-Group Approach to Percolation Problems | Zendy

A. B. Harris | Zendy; T. C. Lubensky | Zendy; W. K. Holcomb | Zendy; Chandan Dasgupta | Zendy

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Renormalization-Group Approach to Percolation Problems

Author(s) -

A. B. Harris,

T. C. Lubensky,

W. K. Holcomb,

Chandan Dasgupta

Publication year - 1975

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.35.327

Subject(s) - renormalization group , percolation critical exponents , percolation (cognitive psychology) , percolation threshold , potts model , cluster expansion , statistical physics , physics , lattice (music) , renormalization , directed percolation , group (periodic table) , hexagonal lattice , mathematical physics , condensed matter physics , mathematics , quantum mechanics , neuroscience , biology , antiferromagnetism , acoustics , ising model , electrical resistivity and conductivity

The relation between the s-state Ashkin-Teller-Potts (ATP) model and the percolation problem given by Fortuin and Kasteleyn is used to formulate a renormalization-group treatment of the percolation problem. Both an e expansion near 6 spatial dimensions and cluster approximations for the recursion relations of a triangular lattice are used. Series results for the ATP model are adapted to the percolation problem.

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