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Nonsymmetric entropy and maximum nonsymmetric entropy principle

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  • Liu, Cheng-shi

Abstract

Under the frame of a statistical model, the concept of nonsymmetric entropy which generalizes the concepts of Boltzmann’s entropy and Shannon’s entropy, is defined. Maximum nonsymmetric entropy principle is proved. Some important distribution laws such as power law, can be derived from this principle naturally. Especially, nonsymmetric entropy is more convenient than other entropy such as Tsallis’s entropy in deriving power laws.

Suggested Citation

  • Liu, Cheng-shi, 2009. "Nonsymmetric entropy and maximum nonsymmetric entropy principle," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2469-2474.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2469-2474
    DOI: 10.1016/j.chaos.2007.10.039
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    References listed on IDEAS

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    1. El Naschie, M.S., 2007. "On the topological ground state of E-infinity spacetime and the super string connection," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 468-470.
    2. El Naschie, M.S., 2006. "Superstrings, entropy and the elementary particles content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 48-54.
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    Cited by:

    1. Contreras-Reyes, Javier E., 2021. "Lerch distribution based on maximum nonsymmetric entropy principle: Application to Conway’s game of life cellular automaton," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Yue Kai & Wenlong Xu & Bailin Zheng & Nan Yang & Kai Zhang & P. M. Thibado, 2019. "Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes," Complexity, Hindawi, vol. 2019, pages 1-7, March.
    3. Contreras-Reyes, Javier E., 2015. "Rényi entropy and complexity measure for skew-gaussian distributions and related families," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 84-91.

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