On the putative essential discreteness of q-generalized entropies

It has been argued in Abe (2010), entitled "Essential discreteness in generalized thermostatistics with non-logarithmic entropy" , that ”continuous Hamiltonian systems with long-range interactions and the so-called q-Gaussian momentum distributions are seen to be outside the scope of non-e...

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Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2017
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124997
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Sumario:It has been argued in Abe (2010), entitled "Essential discreteness in generalized thermostatistics with non-logarithmic entropy" , that ”continuous Hamiltonian systems with long-range interactions and the so-called q-Gaussian momentum distributions are seen to be outside the scope of non-extensive statistical mechanics”. The arguments are clever and appealing. We show here that, however, some mathematical subtleties render them unconvincing.