Understanding the Multi-Scale and Multi-fractal Dynamics of Space Plasmas Through Tsallis Non-Extensive Statistical Theory
arXiv:1203.4003
Abstract
In this study it is shown that the Tsallis q-extended statistical theory was found efficient to describe faithfully the space plasmas statistics in every case, from the planetic magnetospheres, to solar corona and solar dynamics, as well as cosmic rays and cosmic stars. Moreover, new theoretical concepts and experimental results are presented concerning the space plasma complex dynamics. The significant message of theoretical and experimental issues presented here is the necessity of generalized statistical and dynamical theory for understanding the non-equilibrium dynamics and the complex character of space plasmas. The q-extension of statistics coupled to the fractal extension of dynamics are the novel and appropriate theoretical framework for the description of space plasma complexity.
arXiv comment38 pages, 9 figures
References in corpus (10)
- The Internal-Collision-Induced Magnetic Reconnection and Turbulence (ICMART) Model of Gamma-Ray Bursts
- Time-space fabric underlying anomalous diffusion
- Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere
- Quantum Groups and Noncommutative Geometry
- Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
- Fractional Liouville and BBGKI Equations
- Non-differentiable variational principles
- Non-Gaussian statistics in space plasma turbulence, fractal properties and pitfalls
- Nonextensivity in the solar magnetic activity during the increasing phase of solar Cycle 23
- How Does God Play Dice? (Pre-)Determinism at the Planck Scale