HR: 1340h
AN: NG23B-0096    [Abstracts]
TI: Scaling Collapse and Structure Functions: Identifying Self-Affinity in Finite Length Time Series.
AU: Hnat, B
EM: B.Hnat@warwick.ac.uk
AF: Space and Astrophysics, University of Warwick, Coventry, CV4 7AL United Kingdom
AU: * Chapman, S C
EM: S.C.Chapman@warwick.ac.uk
AF: Space and Astrophysics, University of Warwick, Coventry, CV4 7AL United Kingdom
AU: Rowlands, G
EM: G.Rowlands@warwick.ac.uk
AF: Space and Astrophysics, University of Warwick, Coventry, CV4 7AL United Kingdom
AU: Watkins, N W
EM: nww@bas.ac.uk
AF: British Antarctic Survey (NERC), High Cross, Madingley Road, Cambridge, CB1 1UJ United Kingdom
AB: Empirical determination of the scaling properties and exponents of time series presents a formidable challenge in testing, and developing, a theoretical understanding of turbulence and other out-of-equilibrium phenomena. We discuss the special case of self affine time series which show statistical intermittency in the sense that the Probability Density Function of the differenced variable is heavy tailed. Structure functions can in principle be used to determine the scaling properties of the higher order moments of the PDF, but in practice there are statistical limitations presented by a finite length time series. We consider a method of conditioning the data that overcomes these to recovers the underlying self affine scaling in a finite length time series, and test its applicability using a Lévy flight, and geophysical time- series.
DE: 2149 MHD waves and turbulence (2752, 6050, 7836)
DE: 2159 Plasma waves and turbulence
DE: 3265 Stochastic processes (3235, 4468, 4475, 7857)
DE: 4490 Turbulence (3379, 4568, 7863)
DE: 6050 Plasma and MHD instabilities (2149, 2752, 7836)
SC: Nonlinear Geophysics [NG]
MN: Fall Meeting 2005