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Clustering of Polarity Reversals of the Geomagnetic Field

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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 long-range correlations in the underlying dynamo process.


Publication:

Physical Review Letters

Pub Date:
March 2006
DOI:

10.1103/PhysRevLett.96.128501

10.48550/arXiv.physics/0603086

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
E-Print:
4 pages, in press on PRL (31 march 2006?)