Finite-Size Effects in Critical Phenomena from Mean Field Approach with $\phi^4$ Model

TL;DR

This paper investigates how finite-size effects influence critical phenomena in thin films using a mean field $\

Contribution

It introduces a mean field $\

Findings

Scaling functions for free-energy and specific heat are derived.

Boundary conditions significantly affect critical properties.

Finite-size effects are characterized in the $\

Abstract

The finite-size effects in critical phenomena of a thin film system are studied from a mean field (MF) approach with $\phi^4$ model for second-order phase transition. The influence of boundary condition on the critical properties are emphasized. Scaling functions for relative free-energy and relative specific heat capacity are given.