Distribution and spectrum of fluctuations of a Brownian particle in a potential well with reflecting walls
Distribution and spectrum of fluctuations of a Brownian particle in a potential well with reflecting walls
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反射壁势井中布朗粒子涨落分布及谱
DOI：
10.1007/bf01035295
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发表时间：
1987
影响因子：
0.8
通讯作者：
S. Soskin
中科院分区：
文献类型：
--
作者：
S. Soskin
研究了带反射壁方势阱中的布朗运动。得到了相应的Einstein-Fokker-Planck方程的精确解，并利用该解求出了显式的坐标关联函数。归一化为壁之间距离的平方的相关函数通常表现出相似性：其作为时间、摩擦、温度和壁分离的函数的行为减少为这四个量的一个简单组合的函数。详细研究了低摩擦和高摩擦的极限情况，并导出了谱的显式表达式。
The authors examine Brownian motion in a square well with reflecting walls. An exact solution is obtained for the corresponding Einstein-Fokker-Planck equation, which is used to find the coordinate correlation function in explicit form. The correlation function, normalized to the square of the distance between the walls, typically exhibits a similarity property: its behavior as a function of time, friction, temperature, and wall separation reduces to a function of one simple combination of those four quantities. The limiting cases of low and high friction are investigated in detail, with explicit expressions being derived for the spectrum.