Crossover from Selberg's type to Ruelle's type Zeta function in classical kinetics
Statistical Mechanics
2007-05-23 v3 chao-dyn
Chaotic Dynamics
Abstract
The decay rates of the density-density correlation function are computed for a chaotic billiard with some amount of disorder inside. In the case of the clean system the rates are zeros of Ruelle's Zeta function and in the limit of strong disorder they are roots of Selberg's Zeta function. We constructed the interpolation formula between two limiting Zeta functions by analogy with the case of the integrable billiards. The almost clean limit is discussed in some detail. PACS numbers: 05.20.Dd, 05.45.+b, 51.10.+y
Keywords
Cite
@article{arxiv.cond-mat/9712156,
title = {Crossover from Selberg's type to Ruelle's type Zeta function in classical kinetics},
author = {Daniel L. Miller},
journal= {arXiv preprint arXiv:cond-mat/9712156},
year = {2007}
}
Comments
4 pages, multicol.sty, references added