Tsallis Non-Extensive Statistics. Theory and Applications
G. P. Pavlos, L. P. Karakatsanis, M. N. Xenakis, A. E. G. Pavlos, A., C. Iliopoulos, D. V. Sarafopoulos
TL;DR
This paper tests Tsallis q-statistics across diverse complex physical systems, demonstrating excellent agreement between theoretical predictions and experimental data in space plasmas, atmospheric dynamics, seismogenesis, and biological activities.
Contribution
It provides comprehensive empirical validation of Tsallis non-extensive statistics in multiple complex systems, extending its applicability and confirming its theoretical predictions.
Findings
Excellent match between theory and experiment in space plasmas
Accurate estimation of Tsallis q-triplet in atmospheric and seismic systems
Validation of Tsallis theory in biological activities like brain and cardiac functions
Abstract
In this study the q-statistics of Tsallis theory is testified in various complex physical systems. Especially the Tsallis q-triplet is estimated for space plasmas atmospheric dynamics and seismogenesis as well as for the brain and cardiac activity. The coincidence of theoretical predictions following after Tsallis theory and experimental estimations were found to be excellent in all cases
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Taxonomy
TopicsStatistical Mechanics and Entropy · Complex Systems and Time Series Analysis · Theoretical and Computational Physics