First-order phase transitions in confined systems

2003/08/18 by C. A. Linhares, Linhares, C. A., A. P. C. Malbouisson +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0308115

4 pages, 3 figures

arxiv created 2003/08/18 · openalex publication_date 2003/08/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a field-theoretical context, we consider the Euclidean (ϕ⁴+ϕ⁶)_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.

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