Magnetization of multicomponent ferrofluids

TL;DR

This paper develops an analytical density functional theory to predict the magnetization of multicomponent ferrofluids under external fields, validated by Monte Carlo simulations.

Contribution

It introduces a new DFT approach based on MSA for multicomponent ferrofluids that accounts for external magnetic fields, providing analytical magnetization expressions.

Findings

Quantitative agreement with Monte Carlo simulation data.

Analytical expression for magnetization dependence on external fields.

Effective DFT framework for multicomponent ferrofluid magnetic properties.

Abstract

The solution of the mean spherical approximation (MSA) integral equation for isotropic multicomponent dipolar hard sphere fluids without external fields is used to construct a density functional theory (DFT), which includes external fields, in order to obtain an analytical expression for the external field dependence of the magnetization of ferrofluidic mixtures. This DFT is based on a second-order Taylor series expansion of the free energy density functional of the anisotropic system around the corresponding isotropic MSA reference system. The ensuing results for the magnetic properties are in quantitative agreement with our canonical ensemble Monte Carlo simulation data presented here.