Sumy State University, 2 Rimsky-Korsakov Street, UA-40007 Sumy, Ukraine.
Phys Rev E. 2018 Mar;97(3-1):032608. doi: 10.1103/PhysRevE.97.032608.
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.
我们研究了在稀悬浮液中 Magnus 力诱导的单畴铁磁粒子的漂移速度对温度的依赖性。推导出了一组描述粒子平移和旋转动力学的随机方程，并引入了依赖于平均粒子磁化强度分量的粒子漂移速度。在强热涨落极限下，针对平面转子和一般模型，解析地求解了磁化取向概率密度的福克-普朗克方程。利用这些解，我们计算了漂移速度，并表明在平面转子模型中未考虑的磁化的出平面涨落起着重要作用。在任意涨落的一般情况下，我们通过数值模拟一组有效的用于磁化动力学的随机微分方程来研究漂移速度对温度的依赖性。
