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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Damghan university
2020-04-01
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| Series: | Iranian Journal of Astronomy and Astrophysics |
| Subjects: | |
| Online Access: | https://ijaa.du.ac.ir/article_185_79109eb4339eafb758eb2998f703bb5e.pdf |
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| Summary: | 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. |
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| ISSN: | 2322-4924 2383-403X |