Thermal Operators in Ising 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.

17 pages, 2 figures. Improved version. Major changes in the text and in the notations. A missing term added in the specific heat representation

References in corpus (5)

• Quantum anti-Zeno effect
• Percolation transition and the onset of non exponential relaxation in fully frustrated models
• Precursor phenomena in frustrated systems
• Cluster formulation of spin glasses and the frustrated percolation model: statics and dynamics
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Cited by in corpus (5)

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• Some universal properties of the string breaking