کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1860245 1037418 2016 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Overlap amplitude and localization properties in aperiodic diluted and non-diluted direct electric transmission lines
ترجمه فارسی عنوان
خصوصیات دامنه و محلی سازی در خطوط انتقال مستقیم رقیق شده و غیر رقیق شده الکتریکی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی


• We obtain the overlap amplitude 〈(Cijω)2q〉 as a function of the moments μqμq and the Rényi entropies RqRq.
• We have found the scaling relationship for arbitrary order q  , namely 〈(Cijω)2q〉=(2N)2q.
• The overlap amplitude 〈(Cijω)〉 and the normalized participation number ξ(ω)ξ(ω) are directly proportional magnitudes.
• We have shown that the overlap amplitude 〈(Cijω)2q〉 is capable to discriminate between extended states and localized states.

In this work we study the relationship existing between the localization properties of the diluted and non-diluted direct electrical transmission lines with the overlap amplitude Cijω=2|IiωIjω|, where Ijω is the amplitude of the electric current function at jth cell of the transmission line for the state with frequency ω  . We distribute two values of inductances LALA and LBLB, according to the generalized aperiodic Thue–Morse m  -tupling sequence. We find that the behavior of Ci,jω is directly related to the localization properties of the aperiodic sequences measured by the ξ   normalized participation number, the RqRq Rényi entropies and the μqμq moments. In addition, we generalize the scaling relationship for the overlap amplitude Ci,jω, i.e., 〈(Ci,jω)2q〉=(2N)2q.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 380, Issue 40, 23 September 2016, Pages 3284–3291
نویسندگان
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