The Modified Form of the Gutenberg-Richter Law in Solar Flare Complex Network : Approach of Genetic Algorithm on the Thresholded Power-Law Behavior
The hybrid model approach is adopted to construct the solar flare complex network. The modified form of Gutenberg-Richter law is obtained as the frequency-magnitude distribution of the empirical data. The frequency-magnitude distributions of positive-definite data are sometimes observed to follow a...
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Damghan university
2020-04-01
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| Series: | Iranian Journal of Astronomy and Astrophysics |
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| Online Access: | https://ijaa.du.ac.ir/article_185_79109eb4339eafb758eb2998f703bb5e.pdf |
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| author | Amin Najafi |
| author_facet | Amin Najafi |
| author_sort | Amin Najafi |
| collection | DOAJ |
| description | The hybrid model approach is adopted to construct the solar flare complex network. The modified form of Gutenberg-Richter law is obtained as the frequency-magnitude distribution of the empirical data. The frequency-magnitude distributions of positive-definite data are sometimes observed to follow a power-law over several orders of size. There are reasons to the deviation of the frequency-magnitude distribution from an ideal power distribution. Among many alternative forms of the power-law function, we found that the threshold power-law is well fitted with solar empirical data at small values. A statistical method based on optimization of the $chi^{2}$-test by application of the genetic algorithm have been developed.Here, the analytical details of a method based on genetic algorithm is presented to calculate the parameters of the frequency-Magnitude distribution of the empirical data sets. This method estimates the best parameters of the threshold power-law function as the frequency-magnitude distribution of the empirical data, as well. |
| format | Article |
| id | doaj-art-19563bd3c46a4fb79788a4fc4582cd6b |
| institution | Kabale University |
| issn | 2322-4924 2383-403X |
| language | English |
| publishDate | 2020-04-01 |
| publisher | Damghan university |
| record_format | Article |
| series | Iranian Journal of Astronomy and Astrophysics |
| spelling | doaj-art-19563bd3c46a4fb79788a4fc4582cd6b2025-01-12T10:10:46ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2020-04-0171475610.22128/ijaa.2020.423.1087185The Modified Form of the Gutenberg-Richter Law in Solar Flare Complex Network : Approach of Genetic Algorithm on the Thresholded Power-Law BehaviorAmin Najafi0Department of Physics, Technical and Vocational University (TVU), Tehran, Iran.The hybrid model approach is adopted to construct the solar flare complex network. The modified form of Gutenberg-Richter law is obtained as the frequency-magnitude distribution of the empirical data. The frequency-magnitude distributions of positive-definite data are sometimes observed to follow a power-law over several orders of size. There are reasons to the deviation of the frequency-magnitude distribution from an ideal power distribution. Among many alternative forms of the power-law function, we found that the threshold power-law is well fitted with solar empirical data at small values. A statistical method based on optimization of the $chi^{2}$-test by application of the genetic algorithm have been developed.Here, the analytical details of a method based on genetic algorithm is presented to calculate the parameters of the frequency-Magnitude distribution of the empirical data sets. This method estimates the best parameters of the threshold power-law function as the frequency-magnitude distribution of the empirical data, as well.https://ijaa.du.ac.ir/article_185_79109eb4339eafb758eb2998f703bb5e.pdf solar flare complex networkthe gutenberg-richter lawgenetic algorithmfrequency-magnitude distributionthresholded power-law behavior&lrm |
| spellingShingle | Amin Najafi The Modified Form of the Gutenberg-Richter Law in Solar Flare Complex Network : Approach of Genetic Algorithm on the Thresholded Power-Law Behavior Iranian Journal of Astronomy and Astrophysics solar flare complex network the gutenberg-richter law genetic algorithm frequency-magnitude distribution thresholded power-law behavior&lrm |
| title | The Modified Form of the Gutenberg-Richter Law in Solar Flare Complex Network : Approach of Genetic Algorithm on the Thresholded Power-Law Behavior |
| title_full | The Modified Form of the Gutenberg-Richter Law in Solar Flare Complex Network : Approach of Genetic Algorithm on the Thresholded Power-Law Behavior |
| title_fullStr | The Modified Form of the Gutenberg-Richter Law in Solar Flare Complex Network : Approach of Genetic Algorithm on the Thresholded Power-Law Behavior |
| title_full_unstemmed | The Modified Form of the Gutenberg-Richter Law in Solar Flare Complex Network : Approach of Genetic Algorithm on the Thresholded Power-Law Behavior |
| title_short | The Modified Form of the Gutenberg-Richter Law in Solar Flare Complex Network : Approach of Genetic Algorithm on the Thresholded Power-Law Behavior |
| title_sort | modified form of the gutenberg richter law in solar flare complex network approach of genetic algorithm on the thresholded power law behavior |
| topic | solar flare complex network the gutenberg-richter law genetic algorithm frequency-magnitude distribution thresholded power-law behavior&lrm |
| url | https://ijaa.du.ac.ir/article_185_79109eb4339eafb758eb2998f703bb5e.pdf |
| work_keys_str_mv | AT aminnajafi themodifiedformofthegutenbergrichterlawinsolarflarecomplexnetworkapproachofgeneticalgorithmonthethresholdedpowerlawbehavior AT aminnajafi modifiedformofthegutenbergrichterlawinsolarflarecomplexnetworkapproachofgeneticalgorithmonthethresholdedpowerlawbehavior |