强永久剪切随机流中惯性颗粒的动力学
Dynamics of inertial particles in a random flow with strong permanent shear
摘要：
我们考虑小惯性粒子的平流由一个随机的流体流与一个强大的稳定的剪切分量。众所周知，即使流动是不可压缩的，悬浮在随机流动中的惯性颗粒也可以表现出团簇化。我们通过两个粒子之间的分离矢量的统计特性来研究这一现象。在随机流中，粒子之间的距离矩通常呈指数增长。我们使用路径积分形式主义中的鞍点近似来计算这种增长的速率。我们还计算了修正的李雅普诺夫指数，由于小的惯性扰动理论的扩展。
英文摘要：
We consider advection of small inertial particles by a random fluid flow with a strong steady shear component. It is known that inertial particles suspended in a random flow can exhibit clusterization even if the flow is incompressible. We study this phenomenon through statistical characteristics of a separation vector between two particles. As usual in a random flow, moments of distance between particles grow exponentially. We calculate the rates of this growth using the saddle-point approximation in the path-integral formalism. We also calculate correction to the Lyapunov exponent due to small inertia by a perturbation theory expansion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
