Nonextensive statistical mechanics and its applications

By 阿部純義, 岡本祐幸. 2001

397 citations recorded by the source corpus.

Subfields: Condensed Matter Physics, Economics and Econometrics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/35dbe02e8dbd25aff09b38a57db9fedf5e38b16e

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In Condensed Matter Physics

In Economics and Econometrics

In Statistical and Nonlinear Physics

Citations in the corpus

Information theoretical properties of Tsallis entropies (2004, background): “Tsallis entropy plays an essential role in nonextensive statistics so that many important results have been published in mainly statistical physics [2].”
Effect of non-Gaussian noise sources in a noise-induced transition (2003, neutral): “Ln”
Principles of maximum entropy and maximum caliber in statistical physics (2013, methodology): “Nonextensive systems were studied in detail, particularly by Tsallis (see also Landsberg, 1972, 1984; Tsallis, 1988; Abe, 2000, 2001; Tsallis, Abe, and Okamoto, 2001; and Tsallis, Gell-Mann, and Sato, 2005).”
Fundamental properties of Tsallis relative entropy (2004, background): “ar X iv :c on d- m at /0 40 61 78 v5 [ co nd Keywords : Tsallis relative entropy, relative operator entropy, monotonicity and generalized Peierls-Bogoliubov inequality”
A note on operator inequalities of Tsallis relative operator entropy (2005, neutral): “ar X iv :m at h/ 05 02 33 8v 2 [ m at h. FA ] 5 A pr Keywords : Tsallis relative entropy, relative operator entropy, superadditivity, subadditivity and operator inequality 2000 Mathematics Subject Classification : 47A63, 94A17, 15A39”
Nonextensive thermodynamic relations (2000, background): “A point of crucial importance is that, if entropy is nonextensive, the physical temperature is not simply the inverse of the Lagrange multiplier associated with the energy constraint but a variable correctly defined through the generalized zeroth law of thermodynamics [4-8].”
Image thresholding using Tsallis entropy (2004, methodology): “(4), three entropic classifications are defined as follows • Subextensive entropy ðq 1Þ SqðAþ BÞ < SqðAÞ þ SqðBÞ • Extensive entropy ðq ¼ 1Þ SqðAþ BÞ ¼ SqðAÞ þ SqðBÞ • Superextensive entropy ðq > 1Þ SqðAþ BÞ > SqðAÞ þ SqðBÞ Taking into account similarities between Boltzmann/Gibbs and Shannon entro”