کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7380411 | 1480162 | 2014 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonextensive statistics, entropic gravity and gravitational force in a non-integer dimensional space
ترجمه فارسی عنوان
آمار جزییات، گرانروی آنتروپی و نیروی گرانشی در فضای ابعادی غیر عدد صحیح
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
Based on the connection between Tsallis nonextensive statistics and fractional dimensional space, in this work we have introduced, with the aid of Verlinde's formalism, the Newton constant in a fractal space as a function of the nonextensive constant. With this result we have constructed a curve that shows the direct relation between Tsallis nonextensive parameter and the dimension of this fractal space. We have demonstrated precisely that there are ambiguities between the results due to Verlinde's approach and the ones due to fractional calculus formalism. We have shown precisely that these ambiguities appear only for spaces with dimensions different from three. A possible solution for this ambiguity was proposed here.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 411, 1 October 2014, Pages 118-127
Journal: Physica A: Statistical Mechanics and its Applications - Volume 411, 1 October 2014, Pages 118-127
نویسندگان
Everton M.C. Abreu, Jorge Ananias Neto, Cresus F.L. Godinho,