Crossover from Selberg's type to Ruelle's type Zeta function in classical kinetics

1997/12/15 by Daniel L. Miller, Miller, Daniel L.
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #chao-dyn #cond-mat.stat-mech #nlin.CD

paper · pdf · doi:10.48550/arxiv.cond-mat/9712156

4 pages, multicol.sty, references added

arxiv created 1998/03/02 · arxiv updated 2009/11/30

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

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