Magnetization and susceptibility of ferrofluids

TL;DR

This paper develops analytical expressions for the magnetization and free energy of ferrofluids using a Taylor series expansion, validated by Monte Carlo simulations, enhancing understanding of their magnetic and phase properties.

Contribution

It introduces a second-order Taylor series expansion approach for modeling ferrofluid magnetization, incorporating dipolar Yukawa interactions and validated against simulation data.

Findings

Analytical expressions match Monte Carlo results quantitatively.

Magnetic and phase equilibrium properties are accurately predicted.

Modeling approach improves understanding of ferrofluid behavior.

Abstract

A second-order Taylor series expansion of the free energy functional provides analytical expressions for the magnetic field dependence of the free energy and of the magnetization of ferrofluids, here modelled by dipolar Yukawa interaction potentials. The corresponding hard core dipolar Yukawa reference fluid is studied within the framework of the mean spherical approximation. Our findings for the magnetic and phase equilibrium properties are in quantitative agreement with previously published and new Monte Carlo simulation data.