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Evolution of a stochastic system within the framework of Tsallis statistics

Author

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  • Kharchenko, Dmitrii O.
  • Kharchenko, Vasilii O.

Abstract

The general approach of a nonlinear Fokker–Planck equation is applied to investigate the behavior of main statistical moments of a stochastic system. It was shown that the system described by Tsallis statistics can undergo transitions inherent to multiplicative noise-induced transitions. The scaling laws of motion are defined to identify an anomalous time behavior of the system with multiplicative noise.

Suggested Citation

  • Kharchenko, Dmitrii O. & Kharchenko, Vasilii O., 2005. "Evolution of a stochastic system within the framework of Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 262-280.
    • Handle: RePEc:eee:phsmap:v:354:y:2005:i:c:p:262-280
    DOI: 10.1016/j.physa.2005.01.057
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    Cited by:

    1. Bafghi, Seyed Mohammad Amin Tabatabaei & Kamalvand, Mohammad & Morsali, Ali & Bozorgmehr, Mohammad Reza, 2018. "Radial distribution function within the framework of the Tsallis statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 857-867.

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