2023/10/23 by M. Belovs, Belovs, M., Rūdolfs Livanovičs +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Geomagnetism and Paleomagnetism Studies #Characterization and Applications of Magnetic Nanoparticles #Gas Dynamics and Kinetic Theory
paper · pdf · doi:10.48550/arxiv.2310.14674
We derive equations of motion for paramagnetic and ferromagnetic particles fully accounting for gyromagnetic effects. Considering the Einstein-de Haas effect for an ellipsoidal paramagnetic particle we find that starting from a quiescent non-magnetized state, after the field is switched on a rotation along the short axis is established. This is confirmed by the stability analysis of the fixed points of the corresponding ordinary differential equations. In the case of a ferromagnetic particle we integrate the equations of motion in the dissipationless case by finding the integrals of motion. We also reformulate the equations in a Hamiltonian framework in this case and find a period of small nutation oscillations.