Thermal Operators in Ising Percolation

Preprint

27 August 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9905234

Abstract

We discuss a new cluster representation for the internal energy and the specific heat of the d-dimensional Ising model, obtained by studying the percolation mapping of an Ising model with an arbitrary set of antiferromagnetic links. Such a representation relates the thermal operators to the topological properties of the Fortuin-Kasteleyn clusters of Ising percolation and is a powerful tool to get new exact relations on the topological structure of FK clusters of the Ising model defined on an arbitrary graph.

Keywords

CLUSTER REPRESENTATION
ISING PERCOLATION
ANTIFERROMAGNETIC
THERMAL OPERATORS
REPRESENTATION
PERCOLATION
ISING MODEL
NEW CLUSTER
CLUSTERS

All Related Versions

Version 1, 1999-05-17, ArXiv
Version 2, 1999-08-27, ArXiv
Published version: Journal of Physics A: General Physics, 33 (12), 2333.

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