Numerical Analysis of the Nanoparticle Dynamics in a Viscous Liquid: Deterministic Approach

We study the deterministic dynamics of single-domain ferromagnetic nanoparticles in a viscous liquid induced by joint action gradient and uniform magnetic fields. It is assumed that field depends on time harmonically has two components, perpendicular parallel to one. also assume anisotropy so strong nanoparticle magnetization lies along axis, i.e., vector "frozen" into particle body. With these assumptions neglecting inertial effects we derive torque force balance equations describe rotational translational motions particles. reduce set coupled for angle coordinate, solve them numerically wide range system parameters analyze role component field. shown, particular, perform only periodic if absent. In contrast, presence this becomes non-periodic, resulting drift motion (directed transport) nanoparticles. By analyzing short long-time dependencies coordinate show increase decreases both displacement fixed its average velocity each period