Comment on "Critique of q-entropy for thermal statistics" by M. Nauenberg

Abstract

It was recently published by M. Nauenberg [1] a quite long list of objections about the physical validity for thermal statistics of the theory sometimes referred to in the literature as {\it nonextensive statistical mechanics}. This generalization of Boltzmann-Gibbs (BG) statistical mechanics is based on the following expression for the entropy: S_q= k\frac{1- \sum_{i=1}^Wp_i^q}{q-1} (q \in {\cal R}; S_1=S_{BG} \equiv -k\sum_{i=1}^W p_i \ln p_i) . The author of [1] already presented orally the essence of his arguments in 1993 during a scientific meeting in Buenos Aires. I am replying now simultaneously to the just cited paper, as well as to the 1993 objections (essentially, the violation of "fundamental thermodynamic concepts", as stated in the Abstract of [1]).

7 pages including 2 figures. This is a reply to M. Nauenberg, Phys. Rev. E 67, 036114 (2003)

References in corpus (8)

• Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions
• A critique of non-extensive q-entropy for thermal statistics
• Galilean-Invariant Lattice-Boltzmann Models with H-Theorem
• Validity of the second law in nonextensive quantum thermodynamics
• Classical Infinite-Range-Interaction Heisenberg Ferromagnetic Model: Metastability and Sensitivity to Initial Conditions
• Quasi-stationary states in low-dimensional Hamiltonian systems
• Stability of the entropy for superstatistics
• Nonextensivity of the cyclic Lattice Lotka Volterra model

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• Equivalence of volume and temperature fluctuations in power-law ensembles
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