Amplitude Ratios and the Approach to Bulk Criticality in Parallel Plate Geometries

TL;DR

This paper investigates the behavior of specific heat and susceptibility amplitude ratios in parallel plate geometries, using field-theoretic methods to analyze their approach to bulk criticality, and compares these with other existing approaches.

Contribution

It introduces an analytical and numerical framework for studying amplitude ratios in confined geometries, highlighting the advantages and limitations of the field-theoretic approach.

Findings

Amplitude ratios approach bulk values in the limit

Field-theoretic methods effectively describe critical behavior

Comparison with other approaches reveals method strengths and weaknesses

Abstract

We present analytical and numerical results for the specific heat and susceptibility amplitude ratios in parallel plate geometries. The results are derived using field-theoretic techniques suitable to describe the system in the bulk limit. Advantages and drawbacks of our method are discussed on the light of other approaches previously reported in the literature.