Tricritical universality in a two-dimensional spin fluid

TL;DR

This paper uses Monte Carlo simulations to study the tricritical point in a 2D spin fluid, confirming its universality class with the 2D Blume-Capel model through scaling analysis and comparing results with mean-field calculations.

Contribution

It demonstrates that the 2D spin fluid shares the same tricritical universality class as the Blume-Capel model using detailed finite-size scaling and operator distribution analysis.

Findings

Matching tricritical exponents with the 2D Blume-Capel model

Quantitative agreement of scaling operator distributions

Comparison of simulation results with mean-field calculations

Abstract

Monte Carlo simulations are used to investigate the tricritical point properties of a 2d spin fluid. Measurements of the scaling operator distributions are employed in conjunction with a finite-size scaling analysis to locate the tricritical point and determine the directions of the relevant scaling fields and their associated tricritical exponents. The scaling operator distributions and exponents are shown to match quantitatively those of the 2d Blume-Capel model, confirming that both models belong to the same universality class. Mean-field calculations of the tricritical point properties are also compared with the simulation measurements.