论文标题
刚体电偶极子在辐射反应下的旋转动力学
Rotary dynamics of the rigid body electric dipole under the radiation reaction
论文作者
论文摘要
考虑了在辐射反应扭矩下永久极化刚体的旋转。旋转顶部的动力学来自角动量的平衡条件。它导致角速度的不可积分的非线性2阶方程,然后导致降低的一阶Euler方程。与纵向偶极子的轴向对称顶部的示例精确求解,用横向偶极子进行定性和数值分析。物理解决方案描述了渐近幂律的放缓,以停止或指数漂移至残差旋转。这取决于初始条件和顶部的形状。
Rotation of a permanently polarized rigid body under the radiation reaction torque is considered. Dynamics of the spinning top is derived from a balance condition of the angular momentum. It leads to the non-integrable nonlinear 2nd-order equations for angular velocities, and then to the reduced 1st-order Euler equations. The example of an axially symmetric top with the longitudinal dipole is solved exactly, with the transverse dipole is analyzed qualitatively and numerically. Physical solutions describe the asymptotic power-law slowdown to stop or the exponential drift to a residual rotation; this depends on initial conditions and a shape of the top.