Staggered Ladder Spectra
软凝聚态物质
2009-11-11 v1 混沌动力学
摘要
We exactly solve a Fokker-Planck equation by determining its eigenvalues and eigenfunctions: we construct nonlinear second-order differential operators which act as raising and lowering operators, generating ladder spectra for the odd and even parity states. These are staggered: the odd-even separation differs from even-odd. The Fokker-Planck equation describes, in the limit of weak damping, a generalised Ornstein-Uhlenbeck process where the random force depends upon position as well as time. Our exact solution exhibits anomalous diffusion at short times and a stationary non-Maxwellian momentum distribution.
引用
@article{arxiv.cond-mat/0510113,
title = {Staggered Ladder Spectra},
author = {E. Arvedson and M. Wilkinson and B. Mehlig and K. Nakamura},
journal= {arXiv preprint arXiv:cond-mat/0510113},
year = {2009}
}
备注
4 pages, 2 figures