On the way towards a generalized entropy maximization procedure

Details On the way towards a generalized entropy maximization procedure On the way towards a generalized entropy maximization procedure

2008-11-27

arxiv.org/abs/0811.4564v3

Phys. Lett. A 373 (2009) 3230

Physics

Condensed Matter

Statistical Mechanics

12 pages, no figures

Scientific paper

We propose a generalized entropy maximization procedure, which takes into account the generalized averaging procedures and information gain definitions underlying the generalized entropies. This novel generalized procedure is then applied to Renyi and Tsallis entropies. The generalized entropy maximization procedure for Renyi entropies results in the exponential stationary distribution asymptotically for q is between [0,1] in contrast to the stationary distribution of the inverse power law obtained through the ordinary entropy maximization procedure. Another result of the generalized entropy maximization procedure is that one can naturally obtain all the possible stationary distributions associated with the Tsallis entropies by employing either ordinary or q-generalized Fourier transforms in the averaging procedure.

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