Clustering of Polarity Reversals of the Geomagnetic Field
Abstract
Often in nature the temporal distribution of inhomogeneous stochastic point processes can be modeled as a realization of renewal Poisson processes with a variable rate. Here we investigate one of the classical examples, namely, the temporal distribution of polarity reversals of the geomagnetic field. In spite of the commonly used underlying hypothesis, we show that this process strongly departs from a Poisson statistics, the origin of this failure stemming from the presence of temporal clustering. We find that a Lévy statistics is able to reproduce paleomagnetic data, thus suggesting the presence of longrange correlations in the underlying dynamo process.
 Publication:

Physical Review Letters
 Pub Date:
 March 2006
 DOI:
 10.1103/PhysRevLett.96.128501
 arXiv:
 arXiv:physics/0603086
 Bibcode:
 2006PhRvL..96l8501C
 Keywords:

 91.25.Mf;
 02.50.r;
 91.25.Cw;
 Magnetic field reversals: process and timescale;
 Probability theory stochastic processes and statistics;
 Origins and models of the magnetic field;
 dynamo theories;
 Physics  Geophysics;
 Physics  Data Analysis;
 Statistics and Probability;
 Physics  Plasma Physics;
 Astrophysics;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 4 pages, in press on PRL (31 march 2006?)