论文标题
根据局部测量扩散的物理解释 - 分布
Physical interpretation of Itô--distribution on the basis of local measurement of diffusion
论文作者
论文摘要
在本文中，我们提供了对Itô-process的物理解释，从而导致了经历坐标依赖性扩散的布朗粒子的热平衡分布。由于诸如扩散率之类的局部数量将经历热平衡的大波动，因此需要考虑这些波动。我们确定局部扩散率的定义是一种必不可少的成分，可以有效地修改系统的哈密顿量，从而导致与ITô-Distripution相关的物理相关的Gibbs测量。
In this paper we provide a physical interpretation of Itô-process resulting in thermal equilibrium distribution of a Brownian particle experiencing coordinate dependent diffusion. Since the local quantities like diffusivity would go through large fluctuations in thermal equilibrium, one needs to take these fluctuation into account. We identify that the definition of local diffusivity is an essential ingredient that effectively modifies Hamiltonian of the system to result in a physically relevant Gibbs measure related to the Itô-distribution.
