Universality of Tsallis Non-Extensive Statistics and Fractal Dynamics for Complex Systems
arXiv:1203.5556
Abstract
Tsallis q-extension of statistics and fractal generalization of dynamics are two faces of the same physical reality, as well as the Kernel modern complexity theory. The fractal generalization dynamics is based at the multiscale - multifractal characters of complex dynamics in the physical space-time and the complex system's dynamical phase space. Tsallis q-triplet of non-extensive statistics can be used for the experiment test of q-statistic as well as of the fractal dynamics. In this study we present indicative experimental verifications of Tsallis theory in various complex systems such as solar plasmas, (planetic magnetospheres, cosmic stars and cosmic rays), atmospheric dynamics, seismogenesis and brain dynamics.
arXiv comment41 pages, 11 figures, 1 table
References in corpus (12)
- Dynamical foundations of nonextensive statistical mechanics
- 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
- Nonextensive methods in turbulence and particle physics
- How Does God Play Dice? (Pre-)Determinism at the Planck Scale
- Chaotic Quantization: Maybe the Lord plays dice, after all?
- Why are probabilistic laws governing quantum mechanics and neurobiology?