Anomalous diffusion in nonlinear oscillators with multiplicative noise
统计力学
2009-11-07 v1
摘要
The time-asymptotic behavior of undamped, nonlinear oscillators with a random frequency is investigated analytically and numerically. We find that averaged quantities of physical interest, such as the oscillator's mechanical energy, root-mean-square position and velocity, grow algebraically with time. The scaling exponents and associated generalized diffusion constants are calculated when the oscillator's potential energy grows as a power of its position. Correlated noise yields anomalous diffusion exponents equal to half the value found for white noise.
引用
@article{arxiv.cond-mat/0210105,
title = {Anomalous diffusion in nonlinear oscillators with multiplicative noise},
author = {Kirone Mallick and Philippe Marcq},
journal= {arXiv preprint arXiv:cond-mat/0210105},
year = {2009}
}
备注
22 pages, 20 figures, extended version of a paper to be published in Physical Review E