Strong and weak field criticality of 2D liquid gas transition

TL;DR

This paper adapts the numerical flowgram method to accurately determine the coexistence line and critical point in 2D liquid gas transitions, overcoming challenges posed by the absence of broken symmetry.

Contribution

It introduces a controlled NF-based approach for analyzing criticality in systems without broken symmetry, providing precise critical indices measurement.

Findings

Critical indices measured within 1-2% error

NF method effectively determines coexistence line and critical point

First step towards analyzing isolated and multicritical points

Abstract

Finite size scaling (FSS) analysis of the liquid gas criticality is complicated by the absence of any broken symmetry. This, in particular, does not allow a straightforward finding of the coexistence line and the critical point. The numerical flowgram (NF) method is adapted for a controlled determination of the coexistence line and the critical point, with the critical indices $\mu,\, \nu$ measured within 1-2% of the total error. The approach based on the NF for measuring the non-analytical corrections to the diameter - the mean density of the liquid and gas phases along the coexistence line - is outlined. Our analysis is a first step toward a general evaluation of isolated critical and multicritical points.