Persistence of Brownian motion in a shear flow
Persistence of Brownian motion in a shear flow
复制标题
剪切流中布朗运动的持久性
DOI：
10.1103/physreve.88.062111
复制
发表时间：
2013
影响因子：
2.4
通讯作者：
Yoshinori Takikawa and Hiroshi Orihara
中科院分区：
文献类型：
--
作者：
Yuji Sasaki;Yoshinori Takikawa;V. S. R. Jampani;Hikaru Hoshikawa;Takafumi Seto;Christian Bahr;Stephan Herminghaus;Yoshiki Hidaka and Hiroshi Orihara;Tomoki Nosaka;Yoshinori Takikawa and Hiroshi Orihara
研究了剪切流中布朗粒子的持久性。持续概率，即粒子随时间不返回到其初始位置的概率，已知服从幂律。由于对流引起的粒子沿着流动方向的位移远大于布朗运动引起的位移，我们定义了一种替代位移，其中对流效应被去除。我们从理论上推导了这种位移的两次相关函数和持续指数θ。指数在短时间和长时间具有不同的值。将理论计算结果与实验结果进行了比较，两者吻合较好。
The persistence of a Brownian particle in a shear flow is investigated. The persistence probability, which is the probability that the particle does not return to its initial position up to time, is known to obey a power law. Since the displacement of a particle along the flow direction due to convection is much larger than that due to Brownian motion, we define an alternative displacement in which the convection effect is removed. We derive theoretically the two-time correlation function and the persistence exponent θ of this displacement. The exponent has different values at short and long times. The theoretical results are compared with experiment and a good agreement is found.