501 research outputs found
Gibbs' theorem for open systems with incomplete statistics
Gibbs' theorem, which is originally intended for canonical ensembles with
complete statistics has been generalized to open systems with incomplete
statistics. As a result of this generalization, it is shown that the stationary
equilibrium distribution of inverse power law form associated with the
incomplete statistics has maximum entropy even for open systems with energy or
matter influx. The renormalized entropy definition given in this paper can also
serve as a measure of self-organization in open systems described by incomplete
statistics.Comment: 6 pages, accepted to Chaos, Solitons and Fractal
Comment on "Third Law of thermodynamics as a key test of generalized entropies"
Bento \textit{et al.} [Phys. Rev. E 91, 022105 (2015)] state that the Tsallis
entropy violates the third law of thermodynamics for and . We
show that their results are valid only for , since there is no
distribution maximizing the Tsallis entropy for the intervals and
compatible with the system energy expression.Comment: 2 pages, accepted in Phys. Rev.
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