Critical Casimir effects in 2D Ising model with curved defect lines

TL;DR

This study investigates how critical Casimir forces influence the energetic behavior of curved defect lines in the 2D Ising model, revealing energy dependence on temperature and curvature with implications for protein folding.

Contribution

It introduces analysis of critical Casimir effects on curved defect lines in the 2D Ising model, including energy dependence on temperature and curvature, with potential applications in protein folding.

Findings

Collapse of defect lines is exothermic with energy depending on temperature.

Critical Casimir energy is proportional to the curvature of the defect line.

Results suggest Casimir forces influence radius reduction in curved defect structures.

Abstract

This work is aimed at studying the influence of critical Casimir effects on energetic properties of curved defect lines in the frame of 2D Ising model. Two types of defect curves were investigated. We start with a simple task of globule formation from four-defect line. It was proved that an exothermic reaction of collapse occurs and the dependence of energy release on temperature was observed. Critical Casimir energy of extensive line of constant curvature was also examined. It was shown that its critical Casimir energy is proportional to curvature that leads to the tendency to radius decreasing under Casimir forces. The results obtained can be applied to proteins folding problem in polarized liquid.