$\text{eps}$ expansion analysis of very weak first-order transitions in the cubic anisotropy model: Part I

Abstract

The cubic anisotropy model provides a simple example of a system with an arbitrarily weak first-order phase transition. We present an analysis of this model using $\text{eps}$-expansion techniques with results up to next-to-next-to-leading order in $\text{eps}$. Specifically, we compute the relative discontinuity of various physical quantities across the transition in the limit that the transition becomes arbitrarily weakly first-order. This provides a useful test-bed for the application of the $\text{eps}$ expansion in weakly first-order transitions.

Comments: 37 pages, Latex, uses revtex, epsf macro packages