Information Horizon of Solar Active Regions

Information theory is used to characterize the solar active region periodicities and memories from the Carrington map images 1974–2021. The active regions typically evolve and move from one map to the next. In order to track these active region structures in sequences of images, an innovative method...

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Main Authors: Jay R. Johnson, Simon Wing, Carson O’ffill, Bishwa Neupane
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:The Astrophysical Journal Letters
Subjects:
Online Access:https://doi.org/10.3847/2041-8213/acc58e
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author Jay R. Johnson
Simon Wing
Carson O’ffill
Bishwa Neupane
author_facet Jay R. Johnson
Simon Wing
Carson O’ffill
Bishwa Neupane
author_sort Jay R. Johnson
collection DOAJ
description Information theory is used to characterize the solar active region periodicities and memories from the Carrington map images 1974–2021. The active regions typically evolve and move from one map to the next. In order to track these active region structures in sequences of images, an innovative method based on information theory is developed. Image entropy provides a measure of the organization of structures in the images. The entropy can also be used as a filter to identify structures and partition the active regions, which are then registered for each image. The partitions are used to compute the mutual information and measure the information flow from the active regions from one image to the next. Finally, conditional mutual information is used to give a measure of the information flow from one image to another given the third image. The results suggest the following: (1) there is a long-term memory of two cycles or more; (2) the coherence time of the active regions is ∼2 yr; and (3) the average active region structure scale size carrying the most information is approximately 118 × 10 ^3 –236 × 10 ^3 Mm ^2 . The study has implications to the short- and long-term predictability of active regions and sunspots as well as the nature of flux transport at the Sun. Finally, our innovative method can be similarly applied to stellar data to determine the dynamics of the active regions of stars.
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spelling doaj.art-df8f5d0853c34a9cab9b7ee7c62217192023-09-03T09:55:31ZengIOP PublishingThe Astrophysical Journal Letters2041-82052023-01-019471L810.3847/2041-8213/acc58eInformation Horizon of Solar Active RegionsJay R. Johnson0https://orcid.org/0000-0002-9562-1103Simon Wing1https://orcid.org/0000-0001-9342-1813Carson O’ffill2Bishwa Neupane3https://orcid.org/0000-0002-1464-3635Andrews University Berrien Springs , Michigan, USAJohns Hopkins University Laurel , Maryland, USA ; simon.wing@jhuapl.eduAndrews University Berrien Springs , Michigan, USAAndrews University Berrien Springs , Michigan, USAInformation theory is used to characterize the solar active region periodicities and memories from the Carrington map images 1974–2021. The active regions typically evolve and move from one map to the next. In order to track these active region structures in sequences of images, an innovative method based on information theory is developed. Image entropy provides a measure of the organization of structures in the images. The entropy can also be used as a filter to identify structures and partition the active regions, which are then registered for each image. The partitions are used to compute the mutual information and measure the information flow from the active regions from one image to the next. Finally, conditional mutual information is used to give a measure of the information flow from one image to another given the third image. The results suggest the following: (1) there is a long-term memory of two cycles or more; (2) the coherence time of the active regions is ∼2 yr; and (3) the average active region structure scale size carrying the most information is approximately 118 × 10 ^3 –236 × 10 ^3 Mm ^2 . The study has implications to the short- and long-term predictability of active regions and sunspots as well as the nature of flux transport at the Sun. Finally, our innovative method can be similarly applied to stellar data to determine the dynamics of the active regions of stars.https://doi.org/10.3847/2041-8213/acc58eSolar active regionsSolar cycleSunspotsSolar dynamoSolar magnetic bright pointsMagnetogram
spellingShingle Jay R. Johnson
Simon Wing
Carson O’ffill
Bishwa Neupane
Information Horizon of Solar Active Regions
The Astrophysical Journal Letters
Solar active regions
Solar cycle
Sunspots
Solar dynamo
Solar magnetic bright points
Magnetogram
title Information Horizon of Solar Active Regions
title_full Information Horizon of Solar Active Regions
title_fullStr Information Horizon of Solar Active Regions
title_full_unstemmed Information Horizon of Solar Active Regions
title_short Information Horizon of Solar Active Regions
title_sort information horizon of solar active regions
topic Solar active regions
Solar cycle
Sunspots
Solar dynamo
Solar magnetic bright points
Magnetogram
url https://doi.org/10.3847/2041-8213/acc58e
work_keys_str_mv AT jayrjohnson informationhorizonofsolaractiveregions
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AT carsonoffill informationhorizonofsolaractiveregions
AT bishwaneupane informationhorizonofsolaractiveregions