Dynamics of Information Entropies in Nonextensive Systems

Details Dynamics of Information Entropies in Nonextensive Systems Dynamics of Information Entropies in Nonextensive Systems

2008-09-07

arxiv.org/abs/0809.1237v3

Physics

Condensed Matter

Statistical Mechanics

21 pages, 8 figures, augmented text with changed title

Scientific paper

10.1103/PhysRevE.77.049901

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.

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