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arXiv 1209.3897cond-mat.softcond-mat.stat-mech
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剪切流中布朗粒子的时间相关和持续概率

Time correlations and persistence probability of a Brownian particle in a shear flow

D. Chakraborty

摘要:

本文给出了简单剪切流中自由布朗粒子和受简谐约束的布朗粒子的两次关联函数的结果。对于一个自由布朗粒子,沿剪切方向的运动表现出两种不同的动力学,与均方位移扩散在短期内,而在后期的时间尺度为$t^3$。相比之下,互相关$\la x(t) y(t) \ra $对于所有时间均二次缩放。在谐波捕获的布朗粒子的情况下,均方位移表现出由约束和剪切的强度确定的平台。此外,分析扩展到布朗粒子链通过谐波和弯曲势相互作用。最后,从两个时间的关联函数构造持续概率。

英文摘要:

In this article, results have been presented for the two-time correlation functions for a free and a harmonically confined Brownian particle in a simple shear flow. For a free Brownian particle, the motion along the direction of shear exhibit two distinct dynamics, with the mean-square-displacement being diffusive at short times while at late times scales as $t^3$. In contrast the cross-correlation $\la x(t) y(t) \ra $ scales quadratically for all times. In the case of a harmonically trapped Brownian particle, the mean-square-displacement exhibits a plateau determined by the strength of the confinement and the shear. Further, the analysis is extended to a chain of Brownian particles interacting via a harmonic and a bending potential. Finally, the persistence probability is constructed from the two-time correlation functions.

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。

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