A mechanical model for the Brownian motion of a convex body
A mechanical model for the Brownian motion of a convex body
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凸体布朗运动的力学模型
DOI：
10.1007/bf00534196
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发表时间：
1983
期刊：
影响因子：
--
通讯作者：
J. Lebowitz
中科院分区：
文献类型：
--
作者：
D. Dürr;S. Goldstein;J. Lebowitz
在适当的条件下，流体中的大质量（布朗）粒子的运动可以用朗之万方程很好地描述，即一个Ornstein-Uhlenbeck过程，其中流体对运动的影响被考虑为摩擦力和波动力。以前给出了一个力学模型，用于描述理想气体中球体在布朗极限下的平移运动。在此，该描述被扩展到还包括大质量凸体的旋转运动。唯一的概率假设涉及气体的初始分布;凸体-理想气体系统的时间演化是完全确定的。
SummaryUnder suitable conditions the motion of a massive (Brownian) particle in a fluid is well described by a Langevin equation, i.e. an Ornstein-Uhlenbeck process in which the influence of the fluid on the motion is taken into account by frictional and fluctuating forces. A mechanical model for such a description was previously given for the translational motion of a sphere in an ideal gas in the “Brownian limit”. Here that description is extended to include also the rotational motion of a massive convex body. The only probabilistic assumptions concern the initial distribution of the gas; the time evolution of the convex body-ideal gas system is entirely deterministic.