Temperature effects on drift of suspended single-domain particles induced by the Magnus force

TL;DR

This paper investigates how temperature influences the drift velocity of single-domain ferromagnetic particles caused by the Magnus force, combining analytical solutions and numerical simulations to understand the role of thermal fluctuations.

Contribution

It provides a comprehensive analysis of temperature effects on particle drift, including analytical solutions for magnetization dynamics and numerical simulations for arbitrary fluctuations.

Findings

Out-of-plane magnetization fluctuations significantly affect drift velocity.

Analytical solutions are derived for strong thermal fluctuations.

Numerical simulations reveal temperature dependence of drift velocity.

Abstract

We study the temperature dependence of the drift velocity of single-domain ferromagnetic particles induced by the Magnus force in a dilute suspension. A set of stochastic equations describing the translational and rotational dynamics of particles is derived, and the particle drift velocity that depends on components of the average particle magnetization is introduced. The Fokker-Planck equation for the probability density of magnetization orientations is solved analytically in the limit of strong thermal fluctuations for both the planar rotor and general models. Using these solutions, we calculate the drift velocity and show that the out-of-plane fluctuations of magnetization, which are not accounted for in the planar rotor model, play an important role. In the general case of arbitrary fluctuations, we investigate the temperature dependence of the drift velocity by numerically simulating a set of effective stochastic differential equations for the magnetization dynamics.