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Discrimination information for intensity distributions of a collimated wave beam

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  • Blank, Arkadiy
  • Suhareva, Natalia
  • Tsyganov, Mikhail

Abstract

The results of a nonlinear thermodynamic analysis of the process of refractive distortions of a collimated wave beam profile at the optical path output are presented. The formalism of q-deformed entropy functionals is used, which makes it possible to describe both extensive additive systems and nonextensive systems for which the entropy superposition principle or internal energy is not implemented. Non-extensive thermodynamic systems should be considered as a class of nonlinear systems for which deviation from the Boltzmann–Shannon–Gibbs axiomatics is associated with the structure of the phase space, the presence of predetermined space-time correlations that determine the nonlocality of interactions admissible in the system. A method of discrimination information maps for various types of q-deformed entropies, a method of marginal projections of the first and second spatial moments for the video sequences series of the wave beam intensity profile are proposed. The values of the spatio-temporal correlations of the process, the stationarity time of the dispersion properties of the mappings are obtained. Similar properties are inherent in complex nonextensive systems and lead to nonlinear responses when creating multicomponent systems.

Suggested Citation

  • Blank, Arkadiy & Suhareva, Natalia & Tsyganov, Mikhail, 2021. "Discrimination information for intensity distributions of a collimated wave beam," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921008237
    DOI: 10.1016/j.chaos.2021.111469
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    References listed on IDEAS

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    1. Ferri, G.L. & Martínez, S. & Plastino, A., 2005. "The role of constraints in Tsallis' nonextensive treatment revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 205-220.
    2. Lenzi, E.K. & Mendes, R.S. & Rajagopal, A.K., 2000. "Green functions based on Tsallis nonextensive statistical mechanics: normalized q-expectation value formulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(3), pages 503-517.
    3. Karakatsanis, L.P. & Pavlos, G.P. & Xenakis, M.N., 2013. "Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma. Part two: Solar flares dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3920-3944.
    4. Y. Malécot & C. Auriault & H. Kahalerras & Y. Gagne & O. Chanal & B. Chabaud & B. Castaing, 2000. "A statistical estimator of turbulence intermittency in physical and numerical experiments," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 16(3), pages 549-561, August.
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