Dolinsky Yu, Elperin T
The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Feb;75(2 Pt 2):026611. doi: 10.1103/PhysRevE.75.026611. Epub 2007 Feb 22.
We study the rotation of a weakly conducting particle around its axis of symmetry under the action of the external electric field, which spins in the plane normal to the axis of symmetry of the particle. The particle is embedded in a homogeneous stationary medium with finite electric conductivity permittivity that are different from the corresponding parameters of the particle. We determined the dependence of the particle angular velocity upon the amplitude angular velocity of the electric field. It is shown that depending upon the ratios of the particle electric conductivity permittivity to the corresponding parameters of the host medium the direction of rotation of the particle can be identical or opposite to the direction of rotation of the external electric field. We determined the amplitude-dependent critical angular velocity of the external electric field that separates the domains with two possible regimes of rotation of the particle. In the first domain the particle rotates only in one direction, while in the second domain the particle may rotate in two directions. We investigated also the stability of different regimes of rotation of the particle.
我们研究了在外部电场作用下，一个弱导电粒子绕其对称轴的旋转情况，该粒子在垂直于其对称轴的平面内自旋。粒子嵌入在具有有限电导率和介电常数的均匀静止介质中，这些参数与粒子的相应参数不同。我们确定了粒子角速度与电场振幅角速度的依赖关系。结果表明，根据粒子的电导率和介电常数与主体介质相应参数的比值，粒子的旋转方向可以与外部电场的旋转方向相同或相反。我们确定了外部电场的振幅相关临界角速度，它将粒子具有两种可能旋转模式的区域分开。在第一个区域中，粒子仅沿一个方向旋转，而在第二个区域中，粒子可能沿两个方向旋转。我们还研究了粒子不同旋转模式的稳定性。
