关于布朗运动“记忆”效应的一个模型

布朗运动能够概括一大类物理现象,因此一直受到人们的重视。近年来,计算机模拟和实验的结果都表明,布朗运动具有“记忆”效应。本文试图对布朗运动“记忆”效应构造一个模型。在稳定情况下计算结果表明,微粒位移涨落的二次矩仍与时间间隔t成正比,“记忆”效应表现为流体的粘滞性加大。

A Model of Memory Effect of Brownian Motion

Much attention has been paid to the Brownian Motion summing up a classof physical phenomena. Recently, both computer simulations and experimentshave shown that a "memory effect" is attached to the Brownian motion. Amodel for describing this effect has been constructed in this paper. The resultsof the calculations in steady case have shown that the second moment of thedisplacement fluctuation of micro particles is still proportional to the timeintervals, and this effect eventually expresses the increase in fluid viscosity.