Stochastic equation for a jumping process with long-time correlations
统计力学
2015-07-20 v1
摘要
A jumping process, defined in terms of jump size distribution and waiting time distribution, is presented. The jumping rate depends on the process value. The process, which is Markovian and stationary, relaxes to an equilibrium and is characterized by the power-law autocorrelation function. Therefore, it can serve as a model of the 1/f noise as well as a model of the stochastic force in the generalized Langevin equation. This equation is solved for the noise correlations 1/t; the resulting velocity distribution has sharply falling tails. The system preserves the memory about the initial condition for a very long time.
引用
@article{arxiv.cond-mat/0405249,
title = {Stochastic equation for a jumping process with long-time correlations},
author = {T. Srokowski and A. Kaminska},
journal= {arXiv preprint arXiv:cond-mat/0405249},
year = {2015}
}
备注
7 pages, 5 Postscript figures