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Prog. Theor. Phys. Vol. 63 No. 6 (1980) pp. 1917-1930

Dualities for Extended Potts Models Induced from the Percolation Problems of Block Elements

Yasuhiro Kasai, Takehiko Takano and Itiro Syozi

Department of Applied Physics, Faculty of Engineering, Osaka University, Suita 565

(Received December 27, 1979)

Abstract:

The Potts model is extended to include the case of block type many-body interaction. The dilute ferromagnet on the block lattice is discussed as an extended Potts model with layers of lattice by using the real replica method. As a new type of self-dual lattice, the overlap-block lattice consisting of a block lattice and its dual lattice, is shown to have a Potts model structure. The dualities for those extended Potts models are proved on the basis of equivalences of the models to the percolation problems.

URL : http://ptp.ipap.jp/link?PTP/63/1917/
DOI : 10.1143/PTP.63.1917

[ Full Text PDF : FREE ACCESS (922K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 65 No. 1 (1981) pp. 140-153 :

   Application of Real Replica Method to Syozi Model

   Yasuhiro Kasai, Ayao Okiji and Itiro Syozi

2. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1561-1573 :

   Ising Replicated System of ±J Model

   Yasuhiro Kasai, Ayao Okiji and Itiro Syozi

3. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1076-1086 :

   Percolation Problem of Frozen-Bonds in Quenched ±J Ising Spin System

   Yasuhiro Kasai and Ayao Okiji

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