论文标题
具有坐标依赖性扩散的棕色粒子的热平衡:比较玻尔兹曼和改良的玻尔兹曼分布与实验结果
Thermal equilibrium of a Brownian particle with coordinate dependent diffusion: comparison of Boltzmann and modified Boltzmann distributions with experimental results
论文作者
论文摘要
在本文中,我们将Boltzmann分布与修饰的玻尔兹曼分布进行了比较,这是由ITôProcess考虑的,考虑到现有实验的辅导依赖性扩散的Brownian粒子的热平衡。 Faucheux和Libchaber在1994年报告了该实验。该实验利用了直接跟踪壁附近的布朗颗粒的扩散。该实验的结果使我们能够比较玻尔兹曼和修改的玻尔兹曼分布,而无需使用任何可调节参数。对这两个分布与实验结果的比较使支持布朗粒子的热力学平衡,并具有坐标依赖性扩散为ITôProcess。
In this paper we compare the Boltzmann distribution with a modified Boltzmann distribution, that results from an Itô-process considering thermal equilibrium of a Brownian particle with coordinate dependent diffusion, in the light of an existing experiment. The experiment was reported in 1994 by Faucheux and Libchaber. The experiment made use of direct tracking of diffusion of Brownian particles near a wall. Results of this experiment allows us to compare the Boltzmann and the modified Boltzmann distribution without making use of any adjustable parameter. A comparison of these two distributions with the experimental results lends support to the consideration of thermodynamic equilibrium of a Brownian particle with coordinate-dependent diffusion to be an Itô-process.