Dynamics of Information Entropies in Nonextensive Systems

Abstract

We have discussed dynamical properties of the Tsallis entropy and the generalized Fisher information in nonextensive systems described by the Langevin model subjected to additive and multiplicative noise. Analytical expressions for the time-dependent Tsallis entropy and generalized Fisher information have been obtained with the use of the $q$-moment approach to the Fokker-Planck equation developed in a previous study [H. Hasegawa, Phys. Rev. E {\bf 77}, 031133 (2008)]. Model calculations of the information entropies in response to an applied pulse and sinusoidal inputs have been presented.

21 pages, 8 figures, augmented text with changed title

References in corpus (10)

• Anomalous diffusion in the presence of external forces: exact time-dependent solutions and entropy
• Geometry of escort distributions
• Estimators, escort probabilities, and phi-exponential families in statistical physics
• Information measures based on Tsallis' entropy and geometric considerations for thermodynamic systems
• Stochastic resonance in bistable systems: The effect of simultaneous additive and multiplicative correlated noises
• Geometrical aspects of a generalized statistical mechanics
• Power-Law distributions and Fisher's information measure
• Generalized information-entropy measures and Fisher information
• Effects of correlated variability on information entropies in nonextensive systems
• Synchrony and variability induced by spatially correlated additive and multiplicative noise in the coupled Langevin model