A domino model for geomagnetic field reversals
We solve the equations of motion of a one-dimensional planar Heisenberg (or Vaks-Larkin) model consisting of a system of interacting macro-spins aligned along a ring. Each spin has unit length and is described by its angle with respect to the rotational axis. The orientation of the spins can vary in...
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ftdatacite:10.48550/arxiv.1110.5062 2023-05-15T16:19:40+02:00 A domino model for geomagnetic field reversals Mori, N. Schmitt, D. Ferriz-Mas, A. Wicht, J. Mouri, H. Nakamichi, A. Morikawa, M. 2011 https://dx.doi.org/10.48550/arxiv.1110.5062 https://arxiv.org/abs/1110.5062 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Earth and Planetary Astrophysics astro-ph.EP FOS Physical sciences Preprint Article article CreativeWork 2011 ftdatacite https://doi.org/10.48550/arxiv.1110.5062 2022-04-01T14:04:26Z We solve the equations of motion of a one-dimensional planar Heisenberg (or Vaks-Larkin) model consisting of a system of interacting macro-spins aligned along a ring. Each spin has unit length and is described by its angle with respect to the rotational axis. The orientation of the spins can vary in time due to random forcing and spin-spin interaction. We statistically describe the behaviour of the sum of all spins for different parameters. The term "domino model" in the title refers to the interaction among the spins. We compare the model results with geomagnetic field reversals and find strikingly similar behaviour. The aggregate of all spins keeps the same direction for a long time and, once in a while, begins flipping to change the orientation by almost 180 degrees (mimicking a geomagnetic reversal) or to move back to the original direction (mimicking an excursion). Most of the time the spins are aligned or anti-aligned and deviate only slightly with respect to the rotational axis (mimicking the secular variation of the geomagnetic pole with respect to the geographic pole). Reversals are fast compared to the times in between and they occur at random times, both in the model and in the case of the Earth's magnetic field. : accepted for Physical Review E, 18 December 2012 Report Geomagnetic Pole DataCite Metadata Store (German National Library of Science and Technology) |
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DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
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topic |
Earth and Planetary Astrophysics astro-ph.EP FOS Physical sciences |
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Earth and Planetary Astrophysics astro-ph.EP FOS Physical sciences Mori, N. Schmitt, D. Ferriz-Mas, A. Wicht, J. Mouri, H. Nakamichi, A. Morikawa, M. A domino model for geomagnetic field reversals |
topic_facet |
Earth and Planetary Astrophysics astro-ph.EP FOS Physical sciences |
description |
We solve the equations of motion of a one-dimensional planar Heisenberg (or Vaks-Larkin) model consisting of a system of interacting macro-spins aligned along a ring. Each spin has unit length and is described by its angle with respect to the rotational axis. The orientation of the spins can vary in time due to random forcing and spin-spin interaction. We statistically describe the behaviour of the sum of all spins for different parameters. The term "domino model" in the title refers to the interaction among the spins. We compare the model results with geomagnetic field reversals and find strikingly similar behaviour. The aggregate of all spins keeps the same direction for a long time and, once in a while, begins flipping to change the orientation by almost 180 degrees (mimicking a geomagnetic reversal) or to move back to the original direction (mimicking an excursion). Most of the time the spins are aligned or anti-aligned and deviate only slightly with respect to the rotational axis (mimicking the secular variation of the geomagnetic pole with respect to the geographic pole). Reversals are fast compared to the times in between and they occur at random times, both in the model and in the case of the Earth's magnetic field. : accepted for Physical Review E, 18 December 2012 |
format |
Report |
author |
Mori, N. Schmitt, D. Ferriz-Mas, A. Wicht, J. Mouri, H. Nakamichi, A. Morikawa, M. |
author_facet |
Mori, N. Schmitt, D. Ferriz-Mas, A. Wicht, J. Mouri, H. Nakamichi, A. Morikawa, M. |
author_sort |
Mori, N. |
title |
A domino model for geomagnetic field reversals |
title_short |
A domino model for geomagnetic field reversals |
title_full |
A domino model for geomagnetic field reversals |
title_fullStr |
A domino model for geomagnetic field reversals |
title_full_unstemmed |
A domino model for geomagnetic field reversals |
title_sort |
domino model for geomagnetic field reversals |
publisher |
arXiv |
publishDate |
2011 |
url |
https://dx.doi.org/10.48550/arxiv.1110.5062 https://arxiv.org/abs/1110.5062 |
genre |
Geomagnetic Pole |
genre_facet |
Geomagnetic Pole |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1110.5062 |
_version_ |
1766006069816983552 |