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Identity of the universal repulsive-core singularity with Yang-Lee edge criticality

Youngah Park·Michael E. Fisher
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Abstract

Lattice and continuum fluid models with repulsive-core interactions typically display a dominant, critical-type singularity on the real, negative activity axis. Lai and Fisher recently suggested, mainly on numerical grounds, that this repulsive-core singularity is universal and in the same class as the Yang-Lee edge singularities, which arise above criticality at complex activities with positive real part. A general analytic demonstration of this identification is presented here using a field-theory approach with separate representation of the repulsive and attractive parts of the pair interactions.

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Youngah Park, Michael E. Fisher. 1999-07-27. Identity of the universal repulsive-core singularity with Yang-Lee edge criticality. https://doi.org/10.1103/physreve.60.6323

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