کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1863574 1530641 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Scale invariance and related properties of q-Gaussian systems
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Scale invariance and related properties of q-Gaussian systems
چکیده انگلیسی

We advance scale-invariance arguments for systems that are governed (or approximated) by a q  -Gaussian distribution, i.e., a power law distribution with exponent Q=1/(1−q)Q=1/(1−q); q∈Rq∈R. The ensuing line of reasoning is then compared with that applying for Gaussian distributions, with emphasis on dimensional considerations. In particular, a Gaussian system may be part of a larger system that is not Gaussian, but, if the larger system is spherically invariant, then it is necessarily Gaussian again. We show that this result extends to q-Gaussian systems via elliptic invariance. The problem of estimating the appropriate value for the Tsallis' parameter q is revisited. A kinetic application is also provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 365, Issues 5–6, 11 June 2007, Pages 370–375
نویسندگان
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