First-order phase transitions in confined systems

Abstract

In a field-theoretical context, we consider the Euclidean $({\varphi }^4+{\varphi }^6{)}_D$ model compactified in one of the spatial dimensions. We are able to determine the dependence of the transition temperature ($T_c$)for a system described by this model, confined between two parallel planes, as a function of the distance($L$) separating them. We show that $T_c$ is a concave function of $L^{-1}$. We determine a minimal separation below which the transition is suppressed.

4 pages, 3 figures