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Evolution of the Entropy and Renyi Difference Information during Self-Organization of Open Additive Systems

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Abstract

Evolution of the entropy and Renyi difference information is considered during transitions between stationary states in the space of control parameters for additive self-organization systems. S- and I-theorems on changes in the Renyi additive measures are proved under the Gibbs condition for the effective Hamiltonian. In the group approach, one- and two-parameter entropies and difference information of six types are obtained depending on the distribution seminorm.

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Authors and Affiliations

  1. Institute of Mechanics and Machine Building of the Kazan’ Scientific Center, Russian Academy of Sciences, Russia

    R. G. Zaripov

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 42–47, March, 2005.

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Zaripov, R.G. Evolution of the Entropy and Renyi Difference Information during Self-Organization of Open Additive Systems. Russ Phys J 48, 267–274 (2005). https://doi.org/10.1007/s11182-005-0118-x

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  • DOI: https://doi.org/10.1007/s11182-005-0118-x

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