标题： 非均匀空间中布朗粒子的平衡随机动力学：一种替代模型的推导 显示英文标题

标题： Equilibrium stochastic dynamics of a Brownian particle in inhomogeneous space: derivation of an alternative model

摘要： 一种用于非均匀空间中布朗粒子的替代平衡随机动力学被推导出来。 这种动力学可以模拟复杂分子在其构象空间中与均匀热浴处于平衡状态时的运动。 推导是通过对Zwanzig提出的均匀热浴中布朗粒子公式的简单推广完成的。 我们表明，如果系统在不同构象下耦合不同数量的热浴自由度，则可以推导出替代模型。 我们讨论了Faucheux和Libchaber的一项实验结果，该结果可能已经表明了玻尔兹曼分布作为非均匀空间中布朗粒子平衡分布的可能局限性，并提出了使用类似方法对当前理论进行实验验证的建议。 显示英文摘要

摘要： An alternative equilibrium stochastic dynamics for a Brownian particle in inhomogeneous space is derived. Such a dynamics can model the motion of a complex molecule in its conformation space when in equilibrium with a uniform heat bath. The derivation is done by a simple generalization of the formulation due to Zwanzig for a Brownian particle in homogeneous heat bath. We show that if the system couples to different number of bath degrees of freedom at different conformations then the alternative model is derived. We discuss results of an experiment by Faucheux and Libchaber which probably has indicated possible limitation of the Boltzmann distribution as equilibrium distribution of a Brownian particle in inhomogeneous space and propose experimental verification of the present theory using similar methods.