Thermal Operators in Ising Percolation
M.Caselle, F.Gliozzi
TL;DR
This paper introduces a novel cluster representation linking thermal properties of the Ising model to the topology of FK clusters, enabling new exact relations for arbitrary graphs.
Contribution
It presents a new cluster representation for internal energy and specific heat in the Ising model based on percolation mapping, applicable to arbitrary graphs.
Findings
New exact relations for thermal operators and FK cluster topology.
Representation applicable to arbitrary graph structures.
Enhanced understanding of Ising model thermodynamics via percolation.
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.
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