布朗运动路径概率的研究
统计力学
2012-02-09 v3
摘要
本工作是对保守哈密顿系统或弱阻尼布朗粒子随机运动的数值实验。目的是证明路径概率的存在性并计算其值。通过观察大量粒子在高斯噪声和保守力作用下从一点运动到另一点，确定了路径概率沿路径随作用量呈指数递减。
引用
@article{arxiv.1104.0381,
title = {Study of the path probability of a Brownian motion},
author = {Lin Tongling and Pujos Cyril and Ou Congjie and Bi Wenping and Calvayrac Florent and Wang Qiuping A},
journal= {arXiv preprint arXiv:1104.0381},
year = {2012}
}
备注
This paper has been withdrawn by the authors since the same results have been confirmed under more general conditions with more precision and have been reported in arXiv:1202.0924