LONG-RANGE CORRELATION-PROPERTIES OF AREA-PRESERVING CHAOTIC SYSTEMS

This article shows numerically that the variance of the stretching exp onents for two-dimensional chaotic area-preserving systems grows asymp totically as a linear function of time, although an intermediate anoma lous power-law scaling may occur. This implies that the autocorrelatio n function of the stretching exponents is integrable. This result is a generic property of 2-d mixing systems generated by diffeomorphisms. The physical significance of the non-persistent anomalous behavior in the decay of fluctuations is briefly addressed. (C) 1998 Elsevier Scie nce B.V. All rights reserved.