THE POTTS MODEL

 

Chromatic Polynomials and mod-l Flows on directed graphs and their applications, D. K. Arrowsmith and J.W.Essam, CRM Proceedings and Lecture Notes 23 1-20 (1999)

"Study of Crystalline Random Copolymers using a Potts model on the Bethe Lattice", J.W.Essam, J-C Lin and P.L. Taylor, Phys. Rev. E 52 44-52 (1995)

"Restricted Colourings and Flows on Graphs and Directed Percolation", D. K. Arrowsmith and J. W. Essam, Trends in Statistical Physics, 1, 143-52 (1994) published by "Research Trends, Council of Scientific Information, India ".

"Reciprocity and Polynomial Properties for Even Flows and Potentials on Directed Graphs", D. K. Arrowsmith and J.W. Essam, Combinatorics, Probability and Computing 3, 1-11 (1994)

"Chromatic and Flow Polynomials for Directed Graphs", D. K. Arrowsmith and J. W. Essam, J. Comb. Theory B 62 (1994)

Duality relation for Potts multispin correlation functions, A.C.N. Magalhães, J.W. Essam and F.Y. Wu, J. Phys. A 23 2651-63(1990)

"Extension of the Kastelyn-Fortuin Formulas to Directed Percolation" D.K. Arrowmith and J. W. Essam, Phys. Rev. Letters 65, 3068-71 (1990)

The Potts Model and Flows: III. " Standard and subgraph break-collapse methods", A.C.N. Magalhães and J.W. Essam, J. Phys. A 21, 473-500 (1988)

The Potts Model and Flows: II. "Many-spin correlation functions", A.C.N. Magalhães and J.W. Essam, J. Phys. A 19, 1655-79 (1986)

The Potts Model and Flows: I. "The pair correlation function", J.W. Essam and C. Tsallis, J. Phys. A 19, 409-422 (1986)

Potts Models, percolation and duality, J.W. Essam, J. Math. Phys.,20, 1769-73 (1979)

The Z(q) model and flows:" subgraph break-collapse method", A.C.N. Magalhães and J.W. Essam., J. Phys. A 22, 2549-56 (1989)

"The n-component cubic model and flows: subgraph break-collapse method", A.C.N. Magalhães and J.W. Essam. J. Stat. Phys. 58, 1059-82 (1990)

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