Self-avoiding walks on diluted networks | Zendy

Yigal Meir | Zendy; A. B. Harris | Zendy

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Self-avoiding walks on diluted networks

Author(s) -

Yigal Meir,

A. B. Harris

Publication year - 1989

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.63.2819

Subject(s) - renormalization group , fixed point , physics , phase diagram , percolation (cognitive psychology) , exponent , lattice (music) , percolation threshold , critical exponent , statistical physics , enumeration , renormalization , mathematical physics , combinatorics , condensed matter physics , phase transition , phase (matter) , mathematics , quantum mechanics , mathematical analysis , electrical resistivity and conductivity , linguistics , philosophy , neuroscience , acoustics , biology

It is shown that, contrary to recent suggestions, the exponent ν, characterizing self-avoiding walks in a diluted lattice at the percolation threshold is determined by a fixed point, different from the pure-lattice one. The full phase diagram of this system is obtained by a real-space renormalization-group treatment and five nontrivial fixed points are identified. A field-theoretical treatment yields ν=1/2+e/42, with e=6-d. All these results are supported by exact enumeration analysis.

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