XY Spin Fluid in an External Magnetic Field

TL;DR

This paper introduces an integral equation method to analyze inhomogeneous XY spin fluids in magnetic fields, simplifying calculations while accurately reproducing complex phase diagrams previously obtained by computationally intensive simulations.

Contribution

It develops a new integral equation approach for inhomogeneous spin fluids in external fields, making analysis more straightforward and comparable in complexity to homogeneous liquids.

Findings

Accurately reproduces complex phase diagrams.

Simplifies calculations for inhomogeneous spin fluids.

Aligns well with results from advanced simulation techniques.

Abstract

A method of integral equations is developed to study inhomogeneous fluids with planar spins in an external field. As a result, the calculations for these systems appear to be no more difficult than those for ordinary homogeneous liquids. The approach proposed is applied to the ferromagnetic XY spin fluid in a magnetic field using a soft mean spherical closure and the Born-Green-Yvon equation. This provides an accurate reproduction of the complicated phase diagram behavior obtained by cumbersome Gibbs ensemble simulation and multiple histogram reweighting techniques.