布朗运动研究方法错误及纠正

Error and Correction of Brownian Motion Research Method

文章对布朗运动理论中出现的“布朗粒子位移服从正态分布”“布朗粒子位移与时间的平方根成正比”和“布朗粒子瞬时速度无穷大”等一系列与经验事实不符的反常问题进行了分析,指出概率分析方法假定布朗粒子在某一时刻的位移服从某种概率分布,无形中将研究对象从一个布朗粒子改变为大量布朗粒子的集合,并用描述大量布朗粒子集体行为的统计规律来刻画一个布朗粒子的个体行为,这是导致布朗运动理论出现一系列反常问题的根本原因。本文将布朗粒子位移与时间之间的数量关系还原为时间函数,提出了“布朗运动瞬时速度等于白噪声”的布朗运动定律,给出了可正确描述布朗运动现象、特征及规律的布朗粒子运动学方程。

This paper in the theory of Brownian motion,"brown particle displacement is normal distribution","brown particle displacement is proportional with the square root of time"and"Brownian particles instantaneous speed infinity"and a series of experience and the facts of the abnormal problems are analyzed,and points out that the probability method assumes that Brownian particles at some point displacement obey certain probability distribution,The fundamental reason for a series of abnormal problems in Brownian motion theory is to change the object of study from a Brownian particle to a collection of Brownian particles and to describe the individual behavior of a Brownian particle by using the statistical law describing the collective behavior of a large number of Brownian particles.In this paper,the quantitative relation between the displacement of Brownian particles and time is reduced to a time function,Brownian law of motion that"the instantaneous velocity of Brownian motion is equal to white noise"is proposed,and the kinematics equation of Brownian particles which can correctly describe the phenomenon,characteristics and law of Brownian motion is given.