First-order phase transitions in confined systems

Linhares, C. A.; Malbouisson, A. P. C.; Roditi, I.

First-order phase transitions in confined systems

Authors

Linhares, C. A.

Malbouisson, A. P. C.

Roditi, I.

Description

In a field-theoretical context, we consider the Euclidean $(ϕ^4+ϕ^6)_D$ 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