Fractality of Magnetospheric Dynamics: A Diffusion Entropy Approach
DOI:
https://doi.org/10.37591/rrjophy.v7i2.259Keywords:
Diffusion entropy, Fractal, MagnetosphereAbstract
There are several self-organization processes in physics such as second-order phase transitions and associated scale-invariant phenomena, structure formation in thermodynamic systems away from equilibrium, self-organization of solitons into vortices in magnetized plasma etc. Space plasmas often display very complex behavior which includes multiscale dynamics, spatio-temporal chaos and self-organized criticality. The study of self-organization in magnetospheric plasma and its relation with instabilities is a subject at the forefront of space research and in particular, having relevance in the analysis of magnetospheric dynamics. The forced self-organized criticality concept was mostly motivated by the physics of magnetospheric substorms, which seems to require a continuous loading process in order to drive it into a critical or near-critical state. Low frequency stochastic fluctuations of the geomagnetic AE index with a spectrum have been interpreted in terms of a SOC system. We analyze in detail the multifractality of the auroral indices such as AE, AL and AU which may give an insight into the existence of self-organization in the magnetotail with underlying complex multifractal accumulation/dissipation dynamics in the plasma sheet.
Keywords: Diffusion entropy, fractal, magnetosphere
Cite this Article
Sumesh Gopinath, Prince PR. Fractality of Magnetospheric Dynamics: A Diffusion Entropy Approach. Research & Reviews: Journal of Physics. 2018; 7(2): 44–53p
References
Aschwanden M, Self-Organized Criticality in Astrophysics: The Statistics of Nonlinear Processes in the Universe, Springer, Praxis Publishing, U.K., 2011.
Burlaga LF and Klein LW, J. Geophys. Res. 1986; 91: 347–350p.
Chang T, Phys. Plasmas. 1999; 6: 4137–4145p.
Consolini G, De Marco R and De Michelis P, Nonlin. Proc. Geophys. 2013; 20: 455.
Eke A, Herman P, Sanganahalli, BG, Hyder F, Mukli P and Nagy Z, Frontiers in Physiology. 2012; 3: 417.
Fougere PF, J. Geogr. Res. 1985; 90: 4355–4366p
Hnat B, Chapman S C, Rowlands G, Watkins NW, and Freeman MP, Geophys. Res. Lett. 2002; 29: 2078.
Hnat, B, Chapman SC, Rowlands G, Watkins NW, and Freeman MP, Geophys. Res. Lett. 2003; 30: 2174.
Huang J, Shang P and Zhao X Physica A, 2012; 391: 5739–5745p.
Ignaccolo M, Allegrini P, Grigolini P, Hamilton P, West B J, Physica A. 2004; 336: 595.
Jizba P and Korbel J, Physica A. 2014; 00: 1-18p.
Jizba P and Korbel J, Int. J. Des. & Nature Ecodyn., 2015; 10: 261–266p.
Liaw SS., and Chiu FY, Fractal dimensions of time sequences, Physica A. 2009; 388: 3100-3106p.
Morozov AY Physica A. 2013; 392: 2442–2446p.
Pavlos GP, Karakatsanis LP, Xenakis MN, Sarafopoulos D and Pavlos EG, Physica A. 2012; 391: p 3069-3080p.
Peng CK, Buldyrev SV, Havlin S, Simons M, Stanley HE, Goldberger A L, Phys. Rev. E. 1994; 49: 1685.
Rypdal M and Rypdal K, J. Geophys. Res. 2010; 115: A11216.
Scafetta N and Grigolini P, Phys. Rev. E., 2002, 66: 036130.
Shao YH, Gu GF, Jiang ZQ, Zhou W, and Sornette D, Sci. Rep. 2012; 2: 835.
Takalo J, Timonen J and Koskinen H, Geophys. Res. Lett. 1993; 20: 1527–1530p.
Tsurutani BT, Sugiura M, Iyemori T, Goldstein BE, Gonzalez WD, Akasofu SI, and Smith EJ, Geophys. Res. Lett. 1990; 17: 279– 282p.
Uritsky VM and Pudovkin MI, Ann. Geophys. 1998; 28: 1580–1588p.
Wanliss J, J. Geophys. Res. 2004; 110: A03202.
Wanliss JA, Anh VV, Yu ZG and Watson S, J. Geophys. Res. 2005; 110: A08214.
Xu LM, Ivanov PC, Hu K, Chen Z, Carbone A, Stanley H E, Phys. Rev. E. 2005; 71: 051101.
Zhao FC, Yang HJ, Wang BH, Phys. Rev. E. 2005; 72: 046119.
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