Abstract
This chapter consists of two separate sections: (1) Integral Equation Method for Pair Correlation Functions and (2) Pair Correlation Function in the Subcritical Regimes. The two sections discuss pair correlation functions on quite different aspects.
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Notes
- 1.
In fact, from the viewpoint of the Yang–Lee theory of condensation [21], which examines the grand partition function \(\Xi \) in the complex absolute activity (z) plane the zeros of complex roots in the z plane approach points \(t_{s}\) (\(s=1,2,\ldots ,\) finite) on real axis as \(V\rightarrow \infty \), so that every neighborhood, however small, of some points on the real axis contains zero of \(\Xi \) and consequently \(\ln \Xi \) is not an analytic function. This nonanalyticity manifests itself in phase transition.
- 2.
This is the version used by Baxter [19].
- 3.
This gauge may be called the thermodynamic consistency gauge.
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Eu, B.C. (2016). Equilibrium Pair Correlation Functions. In: Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-41147-7_11
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