Self-affinity and nonextensivity of sunspots |
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Institution: | 1. Programa de Modelagem Computacional, SENAI, Cimatec, Av. Orlando Gomes, 1845, Piatã, 41650-010 Salvador, Bahia, Brazil;2. UNEB, Rua Silveira Martins, 2555, Cabula, 41150-000 Salvador, Bahia, Brazil |
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Abstract: | In this paper we study the time series of sunspots by using two different approaches, analyzing its self-affine behavior and studying its distribution. The long-range correlation exponent α has been calculated via Detrended Fluctuation Analysis and the power law vanishes to values greater than 11 years. On the other hand, the distribution of the sunspots obeys a q-exponential decay that suggests a non-extensive behavior. This observed characteristic seems to take an alternative interpretation of the sunspots dynamics. The present findings suggest us to propose a dynamic model of sunspots formation based on a nonlinear Fokker–Planck equation. Therefore its dynamic process follows the generalized thermostatistical formalism. |
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Keywords: | Tsallis statistics Nonlinear Fokker–Planck equation Long-tail distributions |
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