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Abstract A large-deviation connection of statistical mechanics is provided by N independent binary variables, the ( N → ∞ ) limit yielding Gaussian distributions. The probability of n ≠ N / 2 out of… (More)

Abstract The computational study commented by Touchette opens the door to a desirable generalization of standard large deviation theory for special, though ubiquitous, correlations. We focus on three… (More)

We study a symmetric generalization pk(N)(η,α) of the binomial distribution recently introduced by Bergeron et al., where η ∈ [0, 1] denotes the win probability and α is a positive parameter. This… (More)

The standard map, paradigmatic conservative system in the $(x,p)$ phase space, has been recently shown to exhibit interesting statistical behaviors directly related to the value of the standard map… (More)

We numerically study two conservative two-dimensional maps, namely the baker map (whose Lyapunov exponent is known to be positive), and a typical one (exhibiting a vanishing Lyapunov exponent) chosen… (More)

- Guiomar Ruiz, Ugur Tirnakli, Ernesto P. Borges, Constantino Tsallis
- Physical review. E
- 2017

We numerically study the two-dimensional, area preserving, web map. When the map is governed by ergodic behavior, it is, as expected, correctly described by Boltzmann-Gibbs statistics, based on the… (More)

The modified weighted density approximation is investigated in order to determine the thermodynamics of the ordered CsCl and NaCl structures. Our results indicate that one of the essential… (More)

The theory of large deviations constitutes a mathematical cornerstone in the foundations of Boltzmann-Gibbs statistical mechanics, based on the additive entropy $S_{BG}=- k_B\sum_{i=1}^W p_i \ln… (More)

- Carmen Díaz De Córdova, Rossana Torres Silva, +8 authors Elizabeth Córdova Díaz
- 2015