Particle transport by a vortex soliton
Particle transport by a vortex soliton
复制标题
DOI：
10.1017/s0022112004009383
复制
发表时间：
2003-11
影响因子：
3.7
通讯作者：
Y. Kimura;S. Koikari
中科院分区：
文献类型：
--
作者：
Y. Kimura;S. Koikari
研究了涡旋孤子对流体粒子的平流运动。在与涡旋孤子一起运动的参考系中，粒子的运动被限制在涡旋孤子环部附近的一个环面中，这三个参数的范围很广，这三个参数表征了涡旋孤子的形状和强度。作为这些参数的函数，用数值方法计算了输送体积。孤子的体积与平动速度的乘积就是输运速率。利用这个量，考虑了最大输运率下孤子的最佳形状。环面是由围绕周期轨迹的不变曲面群组成的。在不可积哈密顿系统的KAM环面中也观察到类似的现象。为了提取输运性质的基本机理，提出了一种常微分方程模型，并将其命名为“筷子模型”。该模型成功地解释了输运的定性特征。
Motions of fluid particles advected by a vortex soliton are studied. In a reference frame which moves with the vortex soliton, particle motions are confined in a torus near the loop part of the vortex soliton for a wide range of three parameters that characterize the shape and strength of the vortex soliton. The transported volume is calculated numerically as a function of these parameters. The product of the volume and the translational velocity of the soliton provides the rate of transport. Using this quantity, the optimized shape of the soliton for the maximum rate of transport is considered. The torus is composed of groups of invariant surfaces around periodic trajectories. Similar phenomena are observed with the KAM tori for non-integrable Hamiltonian systems. To extract the essential mechanism of the transport properties, an ordinary differential equation model is proposed, which is named the ‘chopsticks model’. This model successfully explains the qualitative features of the transport.