کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
977617 933199 2006 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization
چکیده انگلیسی

Kullback–Leibler relative-entropy has unique properties in cases involving distributions resulting from relative-entropy minimization. Tsallis relative-entropy is a one-parameter generalization of Kullback–Leibler relative-entropy in the nonextensive thermostatistics. In this paper, we present the properties of Tsallis relative-entropy minimization and present some differences with the classical case. In the representation of such a minimum relative-entropy distribution, we highlight the use of the q-product, an operator that has been recently introduced to derive the mathematical structure behind the Tsallis statistics. One of our main results is the generalization of triangle equality of relative-entropy minimization to the nonextensive case.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 361, Issue 1, 15 February 2006, Pages 124–138
نویسندگان
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