Stability of the entropy for superstatistics
Section snippets
Acknowledgements
Useful remarks from E. Brigatti are acknowledged, as well as partial support from PCI/MCT, CNPq, PRONEX/MCT and FAPERJ (Brazilian agencies).
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Superstatistics model for T<inf>2</inf> distribution in NMR experiments on porous media
2014, Journal of Magnetic ResonanceCitation Excerpt :Data of NMR logging taken from oil wells are used to estimate the production potential of oil fields, and therefore involve important decisions and large amounts of investments. The superstatistics can be applied to describe systems with one or more of the following properties: long-range interaction Chavanis [9]; long-time memory Beck et al. [7]; non-ergodicity Souza and Tsallis [26]; non-Markovian systems Garca-Morales and Krischer [14] and fractal behavior Mathai and Haubold [22]; Beck [5]. In what concern NMR transverse decay on porous media, there are two relevant regimes on two different scales.
Stability of incomplete entropy and incomplete expectation
2009, Physica A: Statistical Mechanics and its ApplicationsDistribution of local density of states in superstatistical random matrix theory
2007, Physics Letters, Section A: General, Atomic and Solid State PhysicsCitation Excerpt :Schomerus et al. [30] calculate the probability distribution of the local density of states in a disordered one-dimensional conductor or single-mode waveguide.
Stretched exponentials from superstatistics
2006, Physica A: Statistical Mechanics and its ApplicationsStability analysis of the entropies for superstatistics
2004, Physica A: Statistical Mechanics and its ApplicationsDoes the Lesche condition for stability validate generalized entropies?
2004, Physics Letters, Section A: General, Atomic and Solid State PhysicsCitation Excerpt :This discrepancy in conclusion from two approaches indicates that calculating entropy difference based on specific distributions depicted in both Figs. 1 and 2 has nothing importance for validating a particular generalized entropy. In fact, the κ entropy [10–12] and the Beck–Cohen superstatistics [13] also were shown to satisfy the Lesche condition [14,15]. Moreover, more general form of entropies have shown to satisfy the criterion Eq. (1) in Ref. [15].