Stability of paramagnetic spheroid in precessing field

TL;DR

This paper analyzes the stability and dynamics of paramagnetic spheroidal particles in precessing magnetic fields, providing analytical models and experimental validation of their rotational behavior.

Contribution

It introduces an analytical stability and dynamics model for paramagnetic spheroids in precessing fields, validated by experiments, advancing understanding of their rotational behavior.

Findings

Analytical bifurcation diagram depending on field frequency and precession angle.

Calculated particle orientation in synchronous regime.

Experimental results agree with theoretical predictions.

Abstract

Stability analysis of paramagnetic prolate and oblate spheroidal particle in precessing magnetic field is studied. Bifurcation diagram is calculated analytically in dependence of magnetic field frequency and precession angle. The direction of particle in synchronous regime is calculated. Rotational dynamics and mean rotational frequency in asynchronous regime is found. Obtained theoretical model gives possibility to calculate analytically dynamics of the particle in limiting case (when motion is periodic). Theoretically obtained models were compared with experimental results of rod like particle dynamics in precessing magnetic field. Experimental results are in good agreement with proposed theory.