Articles | Volume 25, issue 1
https://doi.org/10.5194/npg-25-207-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Special issue:
https://doi.org/10.5194/npg-25-207-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Review article
| 
12 Mar 2018
Review article |
| 12 Mar 2018
| 12 Mar 2018
Evolution of fractality in space plasmas of interest to geomagnetic activity
Víctor Muñoz
CORRESPONDING AUTHOR
Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile
Macarena Domínguez
Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile
Juan Alejandro Valdivia
Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile
Centro para la Nanociencia y la Nanotecnología, CEDENNA, Santiago, Chile
Simon Good
Department of Physics, University of Helsinki, Helsinki, Finland
The Blackett Laboratory, Imperial College London, London, UK
Giuseppina Nigro
Dipartimento di Fisica, Università della Calabria, Rende, Italy
Vincenzo Carbone
Dipartimento di Fisica, Università della Calabria, Rende, Italy
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Cited
15 citations as recorded by crossref.
- Preface: Nonlinear waves and chaos G. Lakhina et al. 10.5194/npg-25-477-2018
- Fractal MHD wind in the solar atmosphere R. Ahmad El-Nabulsi & W. Anukool 10.1016/j.asr.2022.02.016
- Using visibility graphs to characterize non-Maxwellian turbulent plasmas S. Saldivia et al. 10.1016/j.chaos.2024.114948
- Applying the Horizontal Visibility Graph Method to Study Irreversibility of Electromagnetic Turbulence in Non-Thermal Plasmas B. Acosta-Tripailao et al. 10.3390/e23040470
- Vlasov equation, waves and dispersion relations in fractal dimensions: Landau damping and the toroidal ion temperature gradient instability problem R. El-Nabulsi & W. Anukool 10.1080/17455030.2022.2155321
- A Prediction of Solar Cycle Maxima Using Visibility Graphs E. Flández & V. Muñoz 10.3847/1538-4357/adef43
- Radial Evolution of Magnetic Field Fluctuations in an Interplanetary Coronal Mass Ejection Sheath S. Good et al. 10.3847/1538-4357/ab7fa2
- Time-dependent heating problem of the solar corona in fractal dimensions: A plausible solution R. El-Nabulsi & W. Anukool 10.1016/j.asr.2024.06.015
- Exploring complexity measures for analysis of solar wind structures and streams V. Koikkalainen et al. 10.5194/npg-32-309-2025
- Fractal Dimension Analysis of Earth Magnetic Field during 26 August 2018 Geomagnetic Storm A. Wawrzaszek et al. 10.3390/e24050699
- Study of the fractality of magnetized plasma using an MHD shell model driven by solar wind data M. Domínguez et al. 10.1063/1.5034129
- Fractality of an MHD shell model for turbulent plasma driven by solar wind data: A review V. Muñoz et al. 10.1016/j.jastp.2020.105524
- Nonlinear dynamics in space plasma turbulence: temporal stochastic chaos A. Chian et al. 10.1007/s41614-022-00095-z
- An Argument in Favor of Magnetic Polarity Reversals Due to Heat Flux Variations in Fully Convective Stars and Planets G. Nigro 10.3847/1538-4357/ac8d57
- Global complexity signatures of solar cycles: A unified Entropy-Fractal survey of OMNI solar wind data (1964–2025) D. Sierra-Porta et al. 10.1016/j.asr.2025.09.072
15 citations as recorded by crossref.
- Preface: Nonlinear waves and chaos G. Lakhina et al. 10.5194/npg-25-477-2018
- Fractal MHD wind in the solar atmosphere R. Ahmad El-Nabulsi & W. Anukool 10.1016/j.asr.2022.02.016
- Using visibility graphs to characterize non-Maxwellian turbulent plasmas S. Saldivia et al. 10.1016/j.chaos.2024.114948
- Applying the Horizontal Visibility Graph Method to Study Irreversibility of Electromagnetic Turbulence in Non-Thermal Plasmas B. Acosta-Tripailao et al. 10.3390/e23040470
- Vlasov equation, waves and dispersion relations in fractal dimensions: Landau damping and the toroidal ion temperature gradient instability problem R. El-Nabulsi & W. Anukool 10.1080/17455030.2022.2155321
- A Prediction of Solar Cycle Maxima Using Visibility Graphs E. Flández & V. Muñoz 10.3847/1538-4357/adef43
- Radial Evolution of Magnetic Field Fluctuations in an Interplanetary Coronal Mass Ejection Sheath S. Good et al. 10.3847/1538-4357/ab7fa2
- Time-dependent heating problem of the solar corona in fractal dimensions: A plausible solution R. El-Nabulsi & W. Anukool 10.1016/j.asr.2024.06.015
- Exploring complexity measures for analysis of solar wind structures and streams V. Koikkalainen et al. 10.5194/npg-32-309-2025
- Fractal Dimension Analysis of Earth Magnetic Field during 26 August 2018 Geomagnetic Storm A. Wawrzaszek et al. 10.3390/e24050699
- Study of the fractality of magnetized plasma using an MHD shell model driven by solar wind data M. Domínguez et al. 10.1063/1.5034129
- Fractality of an MHD shell model for turbulent plasma driven by solar wind data: A review V. Muñoz et al. 10.1016/j.jastp.2020.105524
- Nonlinear dynamics in space plasma turbulence: temporal stochastic chaos A. Chian et al. 10.1007/s41614-022-00095-z
- An Argument in Favor of Magnetic Polarity Reversals Due to Heat Flux Variations in Fully Convective Stars and Planets G. Nigro 10.3847/1538-4357/ac8d57
- Global complexity signatures of solar cycles: A unified Entropy-Fractal survey of OMNI solar wind data (1964–2025) D. Sierra-Porta et al. 10.1016/j.asr.2025.09.072
Latest update: 26 Oct 2025
Short summary
Fractals are self-similar objects (which look the same at all scales), whose dimensions can be noninteger. They are mathematical concepts, useful to describe various physical systems, as the fractal dimension is a measure of their complexity. In this paper we study how these concepts can be applied to some problems in space plasmas, such as the activity of the Earth's magnetosphere, simulations of plasma turbulence, or identification of magnetic structures ejected from the Sun.
Fractals are self-similar objects (which look the same at all scales), whose dimensions can be...
Special issue