# Clustering of polarity reversals of the geomagnetic field.

@article{Carbone2006ClusteringOP, title={Clustering of polarity reversals of the geomagnetic field.}, author={V. Carbone and L. Sorriso-Valvo and A. Vecchio and F. Lepreti and P. Veltri and P. Harabaglia and I. Guerra}, journal={Physical review letters}, year={2006}, volume={96 12}, pages={ 128501 } }

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… Expand

#### 41 Citations

Statistical analysis of magnetic field reversals in laboratory dynamo and in paleomagnetic measurements

- Physics
- 2009

Statistical properties of the temporal distribution of polarity reversals of the geomagnetic field are commonly assumed to be a realization of a renewal Poisson process with a variable rate. However,… Expand

Nonlinear Processes in Geophysics Statistical properties of earthquakes clustering

- Geology
- 2008

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… Expand

Inferring basic parameters of the geodynamo from sequences of polarity reversals

- Physics, Mathematics
- 2009

The asymmetric time dependence and various statistical properties of polarity reversals of the earth's magnetic field are utilized to infer some of the most essential parameters of the geodynamo;… Expand

The geodynamo as a random walker: A view on reversal statistics

- Geology
- 2012

[1] The sequence of durations of the geomagnetic polarity intervals is often described in terms of a nonhomogenous Poisson process with time-dependent reversal rate, reflecting the nonstationarity of… Expand

Statistical properties of earthquakes clustering

- Mathematics
- 2008

Often in nature the temporal distribution of inho- mogeneous stochastic point processes can be modeled as a realization of renewal Poisson processes with a variable rate. Here we investigate one of… Expand

Geomagnetic reversals at the edge of regularity

- Geology, Physics
- 2020

Geomagnetic field reversals remain as one of the most intriguing problems in geophysics and are regarded as chaotic processes resulting from a dynamo mechanism. In this article, we use the polarity… Expand

Statistical Study of Magnetic Field Reversals in Geodynamo Models and Paleomagnetic Data

- Physics
- 2015

The most striking features in the temporal evolution of the Earth's dipolar magnetic field are polarity reversals and excursions. Several hundred polarity switches have been documented for the last… Expand

Are geomagnetic field reversals controlled by turbulence within the Earth's core?

- Physics
- 2007

[1] We consider geomagnetic field reversal sequences from the last 160 Ma, and find the inter-reversal times to be well fit by a lognormal distribution. Such a distribution could arise from… Expand

A model for the geomagnetic field reversal rate and constraints on the heat flux variations at the core-mantle boundary

- Geology, Medicine
- Scientific Reports
- 2020

Data of geomagnetic reversal rates are investigated and it is shown that the transition towards periods where reversals do not occur for tens of million years can be described by a second-order phase transition that is interpreted to be driven by variations of the heat flux at the core-mantle boundary (CMB). Expand

Statistical analysis of geomagnetic field reversals and their consequences

- Mathematics
- 2013

In this paper we focus on the statistical distribution of time intervals between geomagnetic reversals. Recently the Tsallis distribution was pointed out as a possible alternative to previous… Expand

#### References

SHOWING 1-10 OF 59 REFERENCES

On rates of occurrence of geomagnetic reversals

- Mathematics
- 2000

Abstract The magnetostratigraphic time scale provides a record of the occurrence of geomagnetic reversals. The temporal distribution of reversals may be modelled as the realization of an… Expand

Geomagnetic reversals and the stochastic exit problem

- Physics
- 2004

We consider a dynamical system consisting of a fundamental mode (amplitude x, nonlinearly stable) and one stable periodic overtone, coupled by multiplicative noise. The problem emerges from attempts… Expand

Long-range dependence in the Cenozoic reversal record

- Geology
- 2003

The frequency distribution of intervals between Cenozoic geomagnetic reversals approximates a power law, while their occurrence over time shows temporal clustering of short and long intervals.… Expand

Magnetic field reversals and secular variation in a bistable geodynamo model

- Physics
- 2001

Abstract A method is described which enables the calculation of statistical properties of geodynamo models. The result is a Fokker–Planck equation for the probability distribution of the dipole… Expand

The stochastic excitation of reversals in simple dynamos

- Physics
- 1986

Abstract Several variations of the αω disc dynamo models are known to exhibit chaotic magnetic field behaviour typical of non-linear, dissipative systems. Although these models demonstrate that… Expand

Asymmetric polarity reversals, bimodal field distribution, and coherence resonance in a spherically symmetric mean-field dynamo model.

- Physics, Medicine
- Physical review letters
- 2005

Using a mean-field dynamo model with a spherically symmetric helical turbulence parameter alpha, the basic features of geomagnetic polarity reversals are shown to be generic consequences of the dynamo action in the vicinity of exceptional points of the spectrum. Expand

Marine Magnetic Anomalies, Geomagnetic Field Reversals, and Motions of the Ocean Floor and

- Geology
- 1968

This paper summarizes the results of the three previous papers in this series, which have shown the presence of a pattern of magnetic anomalies, bilaterally symmetric about the crest of the ridge in… Expand

A theoretical analysis of the observed variability of the geomagnetic dipole field

- Physics
- 2002

We present a detailed analysis of the Sint-800 virtual axial dipole moment (VADM) data in terms of an αΩ mean field model of the geodynamo that features a non-steady generation of poloidal from… Expand

Lower mantle convection and geomagnetism

- Geology
- 1984

The statistical properties of recent marine magnetic anomaly time scales, covering the period from 165 Ma to the present, are analyzed via the methods presented in the companion paper (McFadden, this… Expand

Geomagnetic dipole strength and reversal rate over the past two million years

- Geology, Medicine
- Nature
- 2005

It is shown that, at least during this period, the time-averaged field was higher during periods without reversals but the amplitude of the short-term oscillations remained the same, and few intervals of very low intensity are expected during periods with a strong average dipole moment, whereas more excursions and reversals areexpected during periods of weak field intensity. Expand