DIFFUSION IN ONE DIMENSIONAL RANDOM MEDIUM AND HYPERBOLIC BROWNIAN MOTION
凝聚态物理
2016-08-31 v1
摘要
Classical diffusion in a random medium involves an exponential functional of Brownian motion. This functional also appears in the study of Brownian diffusion on a Riemann surface of constant negative curvature. We analyse in detail this relationship and study various distributions using stochastic calculus and functional integration.
引用
@article{arxiv.cond-mat/9506024,
title = {DIFFUSION IN ONE DIMENSIONAL RANDOM MEDIUM AND HYPERBOLIC BROWNIAN MOTION},
author = {Alain COMTET and Cecile MONTHUS},
journal= {arXiv preprint arXiv:cond-mat/9506024},
year = {2016}
}
备注
18 pages