论文标题
部分可观测时空混沌系统的无模型预测
Asymptotic Theory for Directed Transport of Suspended Ferromagnetic Nanoparticles
论文作者
论文摘要
使用刚性偶极模型，我们研究了在存在与时间无关的均匀磁场的情况下，在由谐波振荡的梯度磁场引起的稀释悬浮液中，单域铁磁性纳米颗粒的平移和旋转运动。我们的方法是基于一组一组一阶微分方程，这些方程描述了粒子坐标和磁循环角度的时间依赖关系。我们在小和大时段发现了这组方程的渐近溶液，并通过在离散时间应用匹配的渐近扩展，从而为平均年龄粒子坐标和速度提供了分析表达式。
Using the rigid dipole model, we study the translational and rotational motions of single-domain fer-romagnetic nanoparticles in a dilute suspension induced by the harmonically oscillating gradient magnetic field in the presence of a time-independent uniform magnetic field. Our approach is based on a set of the first-order differential equations that describe the time dependencies of the particle coordinate and mag-netization angle. We find the asymptotic solutions of this set of equations at small and large times and, by applying the matched asymptotic expansions for discrete times, derive analytical expressions for the aver-age particle coordinate and velocity.
