The Potts model and flows: II. Many-spin correlation function
- 21 June 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (9) , 1655-1679
- https://doi.org/10.1088/0305-4470/19/9/037
Abstract
For pt.I see ibid. vol.19 p.411 (1985). A graph theoretic analysis is made of the m-spin correlation functions of the lambda -state Potts model. In paper I, the correlation functions for m=2 were expressed in terms of rooted mod- lambda flow polynomials. The authors introduce a more general type of polynomial, the partitioned m-rooted flow polynomial, which plays a fundamental role in the calculation of the multispin correlation functions. The m-rooted equivalent transmissivities of Tsallis and Levy (1981) are interpreted in terms of percolation theory and are expressed as linear combinations of the above correlation functions.Keywords
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