Evidence for Coexistence of SOC, Intermittent Turbulence and Low-Dimensional Chaos Processes in Solar Flare Dynamics

Karakatsanis, L. P.; Pavlos, G. P.; Iliopoulos, A. C.; Tsoutsouras, V. G.; Pavlos, E.G.

doi:10.1063/1.3544338

Cited by 4 publications

(10 citation statements)

References 39 publications

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“…As far as the magnetospheric system is concerned, the application of the extended chaotic algorithm at two different types of magnetospheric data, in particular the AE index and the energetic ion time series, refuted all the above objections against magnetospheric chaos and showed characteristically the following: a) the indisputable existence of a low dimensional chaotic attractor related to the magnetospheric substorms; b) the existence of a stochastic magnetospheric process corresponding to the solar wind disturbance. Similar characteristics were found for Jovian magnetospheric activity [22], solar activity [48][49], brain activity [50], as well as at seismic processes [33,51]. The dual character of magnetospheric behavior, namely of low-dimensional chaos and highdimensional (stochastic) profile [22,43,47] resulted from the experimental detection of complex magnetospheric dynamics.…”

Section: The Criticism Of Magnetospheric Chaos and Its Refutationsupporting

confidence: 63%

“…These theoretical concepts were applied to the physics of magnetospheric and space plasmas [7,[15][16][17][18] where the magnetospheric system was modeled as an open, nonlinear, dissipative system driven by the solar wind, so that the "transition of the magnetospheric system from quiet state to growth and subsequently to the expansion corresponds to a transition from a simple attractor to a chaotic or strange attractor" [7]. Similar concepts were developed later by our group for solar dynamics, the Jovian magnetosphere, atmospheric processes, seismogenesis, and brain dynamics [16,17,22,[48][49][50][51].…”

Section: The Concept Of Self-organization In Space Plasmasmentioning

confidence: 99%

See 1 more Smart Citation

Complexity in Space Plasmas: Universality of Non-Equilibrium Physical Processes

Pavlos¹,

Iliopoulos²,

Athanasiou³

et al. 2011

AIP Conference Proceedings

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Several contributions of the Thrace group to magnetospheric, solar, and planetary physics over the last three decades are summarized from the perspective of a paradigm shift in nonlinear plasma physics. The work by Dennis Papadopoulos on plasma instabilities has been a source of inspiration for our magnetospheric studies including the introduction of the chaos hypothesis.In the last three decades the magnetospheric plasma has been widely explored as a natural laboratory of far-from-equilibrium plasma processes such as nonlinear instabilities and turbulence. One of the most important research goals is to understand the basic elements of the solar wind-magnetosphereionosphere interaction. Two areas of particular importance are magnetospheric energetic particle bursts and substorm development both of which have been pursued intensively since the 1970s and 1980s. Particle bursts (E≥300keV) were detected in the distant and near-Earth plasma sheet, in the magnetosheath, and upstream from the Earth's bow shock. Our research showed that their source lies within the plasma sheet [1][2][3][4]. Furthermore, inside the plasma sheet and in the vicinity of the neutral sheet during strong or weak substorms local magnetic reconnection signatures were observed simultaneously with strong bulk plasma flows and energetic particle acceleration as well as plasma structures consistent with closed magnetic field structures, (i.e., magnetic islands) [5,6]. In order to understand this magnetospheric phenomenology we have used the framework of nonlinear and non-equilibrium plasma theory and considered deterministic chaos as an appropriate paradigm of the observed dynamics. However, the hypothesis of magnetospheric chaos as well as our first results on the existence of a magnetospheric strange attractor obtained by time-series analysis were initially confronted with strong criticism [7]. The first mathematical model of magnetospheric chaos was developed by Baker et al. [8] and based on Shaw's leaky faucet model [9]. Klimas and coworkers [10] extended the dripping-faucet model by including magnetotail geometry and plasma processes. These results were further supported by a series of studies mostly based on chaotic analysis [11][12][13][14][15][16][17]. At the same time the concept of magnetospheric self-organized criticality (SOC) was introduced as an alternative to the low-dimensional magnetospheric chaos theoretically [18] and through data analysis [19][20][21].

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Section: The Criticism Of Magnetospheric Chaos and Its Refutationsupporting

confidence: 63%

Section: The Concept Of Self-organization In Space Plasmasmentioning

confidence: 99%

Complexity in Space Plasmas: Universality of Non-Equilibrium Physical Processes

Pavlos¹,

Iliopoulos²,

Athanasiou³

et al. 2011

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

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“…The relations (105)(106)(107) describe the multifractal and multiscale turbulent process in the physical state. The relations (108)(109)(110)(111)(112) describe the multifractal and multiscale process on the attracting set of the phase space.…”

Section: Intermittent Turbulencementioning

confidence: 99%

Complexity theory, time series analysis and Tsallis q-entropy principle part one: theoretical aspects

Pavlos

2017

Journal of the Mechanical Behavior of Materials

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In this study, we present the highlights of complexity theory (Part I) and significant experimental verifications (Part II) and we try to give a synoptic description of complexity theory both at the microscopic and at the macroscopic level of the physical reality. Also, we propose that the self-organization observed macroscopically is a phenomenon that reveals the strong unifying character of the complex dynamics which includes thermodynamical and dynamical characteristics in all levels of the physical reality. From this point of view, macroscopical deterministic and stochastic processes are closely related to the microscopical chaos and self-organization. The scientific work of scientists such as Wilson, Nicolis, Prigogine, Hooft, Nottale, El Naschie, Castro, Tsallis, Chang and others is used for the development of a unified physical comprehension of complex dynamics from the microscopic to the macroscopic level. Finally, we provide a comprehensive description of the novel concepts included in the complexity theory from microscopic to macroscopic level. Some of the modern concepts that can be used for a unified description of complex systems and for the understanding of modern complexity theory, as it is manifested at the macroscopic and the microscopic level, are the fractal geometry and fractal space-time, scale invariance and scale relativity, phase transition and self-organization, path integral amplitudes, renormalization group theory, stochastic and chaotic quantization and E-infinite theory, etc.

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“…Solar activity is related to two different processes, corresponding to different regions of the solar system with different physical characteristics, namely sunspots in the photosphere and solar flares at the base of solar corona. The analysis of sunspot index and daily solar flares index time series [65][66][67]69] revealed the coexistence of two clearly discriminated physical processes underlying the solar activity, corresponding to SOC and Chaos processes, related to photospheric and sub-photospheric zones activity of the Solar system. Also, strong evidence for intermittent solar turbulence as well as for non-extensive statistical processes, according to Tsallis q-statistics, was found.…”

Section: Space Plasmasmentioning

confidence: 99%

“…Studies concerning the nonlinear analysis of various time series derived from Earth's magnetosphere, solar wind, solar flares and sunspots others revealed the complex behavior of those systems, which include among others chaotic, SOC and intermittent turbulent dynamics, non-equilibrium phase transitions, as well as Tsallis non-Gaussian statistics [53,[64][65][66][67][68][69][70][71].…”

Section: Space Plasmasmentioning

confidence: 99%

Complex Systems: Phenomenology, Modeling, Analysis

Iliopoulos¹

2016

Int J Appl Exp Math

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In this paper a short overview on complex systems and their basic features, as well as the models and mathematical tools developed for their analysis, is given. This review is formed according to the related experience, activity and scientific interests of the author, namely focused on mainly in nonlinear time series analysis and statistics and their applications on different physical systems. In particular, rough outlines are given concerning the phenomenology of complex systems, e.g. far from equilibrium thermodynamics and Tsallis statistics, power law scaling, multi-fractality, low dimensional chaos, SOC, strange kinetics and anomalous diffusion and turbulent intermittency. In addition, a non-complete list of models, based on equations or agent based, is briefly described such as Kuramoto -Sivashinsky equation, cubic complex Ginzburg-Landau Equation, reaction-diffusion Equation, fractional equations, cellular automata, complex networks and artificial neural networks. A more extended review is provided concerning the nonlinear time series analysis complex systems, describing tools like mutual information, flatness coefficient, structure functions, Tsallis q-triplet, correlation dimension and Lyapunov exponents in the reconstructed phase space, which can provide valuable information for the complex system's dynamics. Finally, applications of nonlinear time series analysis on various physical systems, such as earthquakes, Earth's magnetosphere, solar plasma and solar wind, plastic deformation of materials, epilepsy, economical indices and DNA structure, are provided. Mini ReviewOpen Access Complex SystemsIn general, even though there is no precise definition of complex systems, a complex system can be thought of as a collection of nonlinearly interacting elements summing up as a whole which is characterized by novel large scale effects. These effects arise as emergent properties related with nonlinear-complex behavior, which is the most distinguishing feature of complex systems [1]. A nonexhaustive list of complex systems contains among others (in fact most systems can be considered as complex systems): geophysical processes (earthquakes), biophysics (brain dynamics, DNA), space plasmas (solar wind, solar flares, Earth's magnetosphere), plastic deformation of materials, economy (stock indices), socio-technical systems and many others. The aforementioned complex systems, even though they are completely different in many aspects (e.g. different elements), share common characteristics such as:1. They consist of a large number of interacting elements. This fact allows the description of these systems in two different hierarchical levels, namely microscopic and macroscopic. 2. Their subsystems and their interactions are nonlinear. 3. They exhibit emergent behavior, namely a self-organizing collective behavior, which is not predictable from the knowledge of the element's behavior. 4. These systems are open, namely they interact with their environment. This allows these systems to be driven to metastable state...

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Evidence for Coexistence of SOC, Intermittent Turbulence and Low-Dimensional Chaos Processes in Solar Flare Dynamics

Cited by 4 publications

References 39 publications

Complexity in Space Plasmas: Universality of Non-Equilibrium Physical Processes

Complexity in Space Plasmas: Universality of Non-Equilibrium Physical Processes

Complexity theory, time series analysis and Tsallis q-entropy principle part one: theoretical aspects

Complex Systems: Phenomenology, Modeling, Analysis

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