2010
DOI: 10.4401/ag-4372
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Some new approaches to the study of the Earth's magnetic field reversals

Abstract: Paleomagnetic studies clearly show that the polarity of the magnetic fi eld has been subject to reversals. It is generally assumed that polarity intervals are exponentially distributed. Here, the geomagnetic polarity reversal record, for the past 166 Ma, is analysed and a new approach to the study of the reversals is presented. In detail, the occurrence of 1/ƒ-noise in the Power Spectral Density (PSD), relative to geomagnetic fi eld reversals, the existence of a Zipf's law behaviour for the cumulative distribu… Show more

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Cited by 3 publications
(2 citation statements)
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“…While the asymmetry of reversals is rather well understood in terms of the field dynamics in the vicinity of an exceptional point of the spectrum, the physical reason of the clustering property is less obvious. In [20,26], we had speculated that the appearance of clusters, which can be visualized as a 'devil's staircase' of reversal events [36], is a typical sign of 'punctuated equilibrium' [37] and self-organized criticality [38]. In this respect, it is also interesting to note the tendency of the clustering property to increase with the degree of supercriticality [20].…”
Section: The Functionals To Be Minimized and The Inversion Methodsmentioning
confidence: 97%
“…While the asymmetry of reversals is rather well understood in terms of the field dynamics in the vicinity of an exceptional point of the spectrum, the physical reason of the clustering property is less obvious. In [20,26], we had speculated that the appearance of clusters, which can be visualized as a 'devil's staircase' of reversal events [36], is a typical sign of 'punctuated equilibrium' [37] and self-organized criticality [38]. In this respect, it is also interesting to note the tendency of the clustering property to increase with the degree of supercriticality [20].…”
Section: The Functionals To Be Minimized and The Inversion Methodsmentioning
confidence: 97%
“…The Devil's Staircase is a fractal property of complex dynamic systems and can be constructed from the Cantor set. The Devil's Staircase is commonly found in nature, including depositional sequences and the reversal of Earth's magnetic field (Bak, 1996;De Michelis & Consolini, 2003;Simkin & Roychowdhury, 2014;. A fractal property is scale invariant.…”
Section: Temporal Patterns Of Large Earthquakes: Devil's Staircasementioning
confidence: 99%