Abstract
We use the analogue of the cluster theory of Ursell and Mayer1 for a ferromagnetic Ising model in the presence of a magnetic field to describe the Ising singularity. In this cluster theory, the Ising model is described by a set of diagrams, which resemble branched polymers, characterized by the total number of bonds B and the total number of odd vertices V.
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References
J. E. Mayer and M. G. Mayer, Statistical Mechanics (John Wiley, NY, 1940).
P. D. Gujrati, Phys. Rev. B40, 5140 (1989).
D. Stauffer, Introduction to Percolation Theory (Taylor and Francis, London, 1985).
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© 1990 Kluwer Academic Publishers
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Gujrati, P.D. (1990). Geometrical Properties of Clusters, Percolation Transitions, & the Ising Singularity. In: Stanley, H.E., Ostrowsky, N. (eds) Correlations and Connectivity. NATO ASI Series, vol 188. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2157-3_36
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DOI: https://doi.org/10.1007/978-94-009-2157-3_36
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-1011-2
Online ISBN: 978-94-009-2157-3
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