E
Ernesto P. Borges
Researcher at Federal University of Bahia
Publications - 64
Citations - 1582
Ernesto P. Borges is an academic researcher from Federal University of Bahia. The author has contributed to research in topics: Statistical mechanics & Phase space. The author has an hindex of 18, co-authored 62 publications receiving 1398 citations. Previous affiliations of Ernesto P. Borges include National Institute of Standards and Technology.
Papers
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A possible deformed algebra and calculus inspired in nonextensive thermostatistics
TL;DR: In this paper, a deformed algebra related to the q-exponential and q-logarithm functions is presented, and a q-derivative for which the qexponential is an eigenfunction is presented.
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A family of nonextensive entropies
Ernesto P. Borges,Itzhak Roditi +1 more
TL;DR: A generalizedNonextensive two-parameter entropy is developed, along lines which unify current nonextensive frameworks, and recovers, as particular cases, the Tsallis and symmetric entropies, as well as the Boltzmann-Gibbs entropy.
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On a q -generalization of circular and hyperbolic functions
TL;DR: In this paper, a generalization of the circular and hyperbolic functions is proposed, based on the Tsallis statistics and on a consistent generalisation of the Euler formula, and some properties of the presently proposed q-trigonometry are then investigated.
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The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics.
Ugur Tirnakli,Ernesto P. Borges +1 more
TL;DR: In this paper, the authors show how the dynamics of the paradigmatic conservative (area-preserving) stan-dard map exhibits, in an exceptionally clear manner, the crossing from one statistics to the other.
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Fluxes of cosmic rays: a delicately balanced stationary state
TL;DR: In this paper, a phenomenological approach along the lines of nonextensive statistical mechanics, a formalism which contains Boltzmann-Gibbs statistical mechanics as a particular case, was proposed.