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We investigate the characteristics of the solar flares complex network. The limited predictability, non-linearity, and self-organized criticality of the flares allow us to study systems of flares in the field of the complex systems. Both…

Solar and Stellar Astrophysics · Physics 2017-10-04 Akbar Gheibi , Hossein Safari , Mohsen Javaherian

Here, we developed a complex network of solar active regions (ARs) to study various local and global properties of the network. The values of the Hurst exponent ($0.8-0.9$) were evaluated by both the detrended fluctuation analysis and the…

Solar and Stellar Astrophysics · Physics 2017-08-23 Farhad Daei , Hossein Safari , Neda Dadashi

In Isliker et al. (2000b), an extended cellular automaton (X-CA) model for solar flares was introduced. In this model, the interpretation of the model's grid-variable is specified, and the magnetic field, the current, and an approximation…

Astrophysics · Physics 2009-11-07 H. Isliker , A. Anastasiadis , L. Vlahos

Power laws and distributions with heavy tails are common features of many experimentally studied complex systems, like the distribution of the sizes of earthquakes and solar flares, or the duration of neuronal avalanches in the brain.…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Dimitrije Markovic , Claudius Gros

Solar flares result from the sudden release of energy deposited by sub-photospheric motions into the magnetic field of the corona. The deposited energy accumulates secularly between events. One may interpret the observed event statistics as…

Solar and Stellar Astrophysics · Physics 2023-05-17 Julian B. Carlin , Andrew Melatos , Michael S. Wheatland

Solar energetic events are caused by the release of magnetic energy accumulated in the solar atmosphere. To understand their initiating physical mechanisms, the dynamics of the coronal magnetic fields must be studied. Unfortunately, the…

Solar and Stellar Astrophysics · Physics 2024-08-14 Yeongmin Kang , Takafumi Kaneko , K. D. Leka , Kanya Kusano

Solar flares and CMEs have a broad range of magnitudes. This review discusses the possibility of "extreme events," defined as those with magnitudes greater than have been seen in the existing historical record. For most quantitative…

Solar and Stellar Astrophysics · Physics 2015-09-02 Hugh S. Hudson

Solar active regions and the processes that occur in them have been extensively studied and analyzed and many types of models and characterizations have been proposed for the occurrence of different eruptive events that take place in the…

Solar and Stellar Astrophysics · Physics 2020-12-09 N. Granados Hernández , S. Vargas Domínguez

The physics of solar flares occurring on the Sun is highly complex and far from fully understood. However, observations show that solar eruptions are associated with the intense kilogauss fields of active regions, where free energies are…

Solar and Stellar Astrophysics · Physics 2024-01-26 Bach Viet Do , Yang Chen , XuanLong Nguyen , Ward Manchester

A time-dependent model for the energy of a flaring solar active region is presented based on a stochastic jump-transition model (Wheatland and Glukhov 1998; Wheatland 2008; Wheatland 2009). The magnetic free energy of the model active…

Solar and Stellar Astrophysics · Physics 2015-05-19 M. Kanazir , M. S. Wheatland

There is considerable observational evidence of implosion of magnetic loop systems inside solar coronal active regions following high energy events like solar flares. In this work, we propose that such collapse can be modeled in three…

Solar and Stellar Astrophysics · Physics 2017-12-27 Aveek Sarkar , Bhargav Vaidya , Soumitra Hazra , Jishnu Bhattacharyya

Large solar flares and eruptions may influence remote regions through perturbations in the outer-atmospheric magnetic field, leading to causally related events outside of the primary or triggering eruptions that are referred to as…

Solar and Stellar Astrophysics · Physics 2015-11-04 Carolus J. Schrijver , Paul A. Higgins

Solar flares are extremely energetic phenomena in our Solar System. Their impulsive, often drastic radiative increases, in particular at short wavelengths, bring immediate impacts that motivate solar physics and space weather research to…

The statistical examination of solar flares is crucial to revealing their global characteristics and behaviour. Such examinations can tackle large-scale science questions or give context to detailed single-event studies. However, they are…

Solar and Stellar Astrophysics · Physics 2016-08-17 Daniel F. Ryan , Marie Dominique , Dan Seaton , Koen Stegen , Arthur White

Quasi-periodic pulsations (QPPs) with various periods that originate in the underlying magnetohydrodynamic processes of the flaring structures are detected repeatedly in the solar flare emissions. We apply a 2D cellular automaton (CA)…

Solar and Stellar Astrophysics · Physics 2022-09-14 Nastaran Farhang , Farhad Shahbazi , Hossein Safari

Solar flares, email exchanges, and many natural or social systems exhibit bursty dynamics, with periods of intense activity separated by long inactivity. These patterns often follow power- law distributions in inter-event intervals or event…

Physics and Society · Physics 2025-10-23 Pavlo Bulanchuk , Sue Ann Koay , Sandro Romani

A stochastic model for the energy of a flaring solar active region is presented, generalising and extending the approach of Wheatland & Glukhov (1998). The probability distribution for the free energy of an active region is described by the…

Astrophysics · Physics 2009-11-13 M. S. Wheatland

Solar active regions are driven dissipative dynamical systems. The turbulent convection zone forces new magnetic flux tubes to rise above the photosphere and shuffles the magnetic fields which are already above the photosphere. The driven…

Astrophysics · Physics 2009-09-29 Loukas Vlahos

Violent solar flares and coronal mass ejections (CMEs) are magnetic phenomena. However, how magnetic fields reconnecting in the flare differ from non-flaring magnetic fields remains unclear owing to the lack of studies of the flare magnetic…

Solar and Stellar Astrophysics · Physics 2022-02-23 Maria D. Kazachenko , Benjamin J. Lynch , Antonia Savcheva , Xudong Sun , Brian T. Welsch

A model for the solar coronal magnetic field is proposed where multiple directed loops evolve in space and time. Loops injected at small scales are anchored by footpoints of opposite polarity moving randomly on a surface. Nearby footpoints…

Statistical Mechanics · Physics 2009-11-07 D. Hughes , M. Paczuski , R. O. Dendy , P. Helander , K. G. McClements