Phase boundaries near critical end points. III. Corrections to scaling and spherical models

Abstract

Thermodynamics in the vicinity of a criticai end point is studied. Phenomenologicai arguments are used to show the presence of further criticai nonanaiyticities beyond the leading-order singularities found in papers I and 11. These contributions are related to the universal correction-to-scaling features of the bulk thermodynamics on the criticai Á line. The predictions are checked on exactly soluble sphericai models with short- and long-range interactions.