Complexity, Forced and/or Self-Organized Criticality, and Topological Phase Transitions in Space Plasmas

Chang, Tom; Tam, Sunny Wing-Yee; Wu, C. C.; Consolini, Giuseppe

doi:10.1007/978-94-007-1069-6_43

Cited by 22 publications

(33 citation statements)

References 41 publications

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“…This transition is indicated by the change from β(t) < 2 prior to the storm onset and β(t) > 2 for some time after the onset. These observations are consistent with conclusions obtained by Alava (2003), Chang et al (2003Chang et al ( , 2004, Balasis et al (2006), and Wanliss and Dobias (2007). The obvious presence of fractal scaling behaviour at all times, and the variation in scaling exponents from quiet to active intervals, suggest that the non-equilibrium mag- Fig.…”

Section: Discussionsupporting

confidence: 91%

Wavelet-based multiscale analysis of geomagnetic disturbance

Zaourar¹,

Hamoudi²,

Mandéa

et al. 2013

Earth Planet Sp

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The dynamics of external contributions to the geomagnetic field is investigated by applying time-frequency methods to magnetic observatory data. Fractal models and multiscale analysis enable obtaining maximum quantitative information related to the short-term dynamics of the geomagnetic field activity. The stochastic properties of the horizontal component of the transient external field are determined by searching for scaling laws in the power spectra. The spectrum fits a power law with a scaling exponent β, a typical characteristic of self-affine time-series. Local variations in the power-law exponent are investigated by applying wavelet analysis to the same time-series. These analyses highlight the self-affine properties of geomagnetic perturbations and their persistence. Moreover, they show that the main phases of sudden storm disturbances are uniquely characterized by a scaling exponent varying between 1 and 3, possibly related to the energy contained in the external field. These new findings suggest the existence of a long-range dependence, the scaling exponent being an efficient indicator of geomagnetic activity and singularity detection. These results show that by using magnetogram regularity to reflect the magnetosphere activity, a theoretical analysis of the external geomagnetic field based on local power-law exponents is possible.

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Section: Discussionsupporting

confidence: 91%

Wavelet-based multiscale analysis of geomagnetic disturbance

Zaourar¹,

Hamoudi²,

Mandéa

et al. 2013

Earth Planet Sp

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“…For instance, Balasis et al (2006) have shown the occurrence of an interesting transition from the anti-persistent to the persistent character in the fluctuations of Dst index, which closely corresponds to a transition from a regime of quiet to one of high magnetospheric activity, characterized by the occurrence of intense geomagnetic storms. A similar behavior has been also documented in the case of the auroral electrojet (AE) index (e.g., Uritsky and Pudovkin,and discussed in a more general scenario, involving a near forced and/or self-organized criticality (FSOC) dynamics (Consolini, 1997;Uritsky and Pudovkin, 1998;Chang, 1999;Chang et al, 2003;Consolini and Chang, 2001;Consolini and De Michelis, 2002;Wanliss and Weygand, 2007;Wanliss and Uritsky, 2010).…”

Section: Introductionsupporting

confidence: 59%

“…In addition, for each H loc -conditioned set of increments we evaluate th standard variation σ(δX | H loc ) of the selected dataset. In this way we can study the dependence o avalanching nature of magnetospheric dynamics (Consolini and Chang, 2001;Chang et al, 2003) In Figure 16 we report the conditioned PDFs P (y | H loc ) obtained in the case of a synthetic Bm with a time dependent local Hurst exponent H loc (t) ∈ [0.1,0.9]. The PDFs do not exhibit any ubstantial dependence of the shape on the value of H loc .…”

mentioning

confidence: 99%

Intermittency and multifractional Brownian character of geomagnetic time series

Consolini

Marco

Michelis

2013

Nonlin. Processes Geophys.

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The Earth's magnetosphere exhibits a complex behavior in response to the solar wind conditions. This behavior, which is described in terms of mutifractional Brownian motions, could be the consequence of the occurrence of dynamical phase transitions. On the other hand, it has been shown that the dynamics of the geomagnetic signals is also characterized by intermittency at the smallest temporal scales. Here, we focus on the existence of a possible relationship in the geomagnetic time series between the multifractional Brownian motion character and the occurrence of intermittency. In detail, we investigate the multifractional nature of two long time series of the horizontal intensity of the Earth's magnetic field as measured at L'Aquila Geomagnetic Observatory during two years (2001 and 2008), which correspond to different conditions of solar activity. We propose a possible double origin of the intermittent character of the small-scale magnetic field fluctuations, which is related to both the multifractional nature of the geomagnetic field and the intermittent character of the disturbance level. Our results suggest a more complex nature of the geomagnetic response to solar wind changes than previously thought

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“…A central property of the magnetic storm, solar flare, and earthquake preparation process is the possible occurrence of coherent large-scale collective behavior with a very rich structure resulting from the repeated nonlinear interactions among their constituents taking place in the magnetosphere (Chang et al, 2003(Chang et al, , 2006(Chang et al, , 2010Consolini et al, 2005; Correspondence to: G. Balasis (gbalasis@space.noa.gr) Wanliss, 2005Balasis et al, 2006), solar corona (Vassiliadis et al, 1998;Isliker et al, 2001;Baiesi et al, 2006) and lithosphere (Turcotte, 1997;Sornette, 2004;Eftaxias et al, 2009Eftaxias et al, , 2010, respectively. Nonextensive statistical mechanics provides a solid theoretical basis for describing and analyzing complex systems out of equilibrium, systems exhibiting long-range correlations, memory, or fractal properties (Tsallis, 2009).…”

Section: Introductionmentioning

confidence: 99%

Similarities between extreme events in the solar-terrestrial system by means of nonextensivity

Balasis

Papadimitriou

Daglis

et al. 2011

Nonlin. Processes Geophys.

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Abstract. The dynamics of complex systems are founded on universal principles that can be used to describe disparate problems ranging from particle physics to economies of societies. A corollary is that transferring ideas and results from investigators in hitherto disparate areas will cross-fertilize and lead to important new results. In this contribution, we investigate the existence of a universal behavior, if any, in solar flares, magnetic storms, earthquakes and pre-seismic electromagnetic (EM) emissions, extending the work recently published by Balasis et al. (2011a). A common characteristic in the dynamics of the above-mentioned phenomena is that their energy release is basically fragmentary, i.e. the associated events are being composed of elementary building blocks. By analogy with earthquakes, the magnitude of the magnetic storms, solar flares and pre-seismic EM emissions can be appropriately defined. Then the key question we can ask in the frame of complexity is whether the magnitude distribution of earthquakes, magnetic storms, solar flares and pre-fracture EM emissions obeys the same law. We show that these apparently different extreme events, which occur in the solar-terrestrial system, follow the same energy distribution function. The latter was originally derived for earthquake dynamics in the framework of nonextensive Tsallis statistics.

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Complexity, Forced and/or Self-Organized Criticality, and Topological Phase Transitions in Space Plasmas

Cited by 22 publications

References 41 publications

Wavelet-based multiscale analysis of geomagnetic disturbance

Wavelet-based multiscale analysis of geomagnetic disturbance

Intermittency and multifractional Brownian character of geomagnetic time series

Similarities between extreme events in the solar-terrestrial system by means of nonextensivity

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