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

摘要

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.