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

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

1999-07-27

arxiv.org/abs/cond-mat/9907429v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures

Scientific paper

10.1103/PhysRevE.60.6323

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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