Overlap amplitude and localization properties in aperiodic diluted and non-diluted direct electric transmission lines

E. Lazo; C. E. Castro; F. Cortés-Cortés

doi:10.1016/j.physleta.2016.07.058

Overlap amplitude and localization properties in aperiodic diluted and non-diluted direct electric transmission lines

E. Lazo
, C. E. Castro
, F. Cortés-Cortés

Department of Mechanical Engineering

Universidad de Tarapacá

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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 C_ij^ω=2|I_i^ωI_j^ω|, where I_j^ω 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 L_A and L_B, according to the generalized aperiodic Thue–Morse m-tupling sequence. We find that the behavior of C_i,j^ω is directly related to the localization properties of the aperiodic sequences measured by the ξ normalized participation number, the R_q Rényi entropies and the μ_q moments. In addition, we generalize the scaling relationship for the overlap amplitude C_i,j^ω, i.e., 〈(C_i,j^ω)^2q〉=(2N)^2q.

Original language	English
Pages (from-to)	3284-3291
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	380
Issue number	40
DOIs	https://doi.org/10.1016/j.physleta.2016.07.058
State	Published - 23 Sep 2016

Keywords

Dilution process
Localization properties
Overlap amplitude
Thue–Morse m-tupling sequences
Transmission lines

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10.1016/j.physleta.2016.07.058

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title = "Overlap amplitude and localization properties in aperiodic diluted and non-diluted direct electric transmission lines",

abstract = "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 LA and LB, 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 Rq R{\'e}nyi entropies and the μq moments. In addition, we generalize the scaling relationship for the overlap amplitude Ci,jω, i.e., 〈(Ci,jω)2q〉=(2N)2q.",

keywords = "Dilution process, Localization properties, Overlap amplitude, Thue–Morse m-tupling sequences, Transmission lines",

author = "E. Lazo and Castro, \{C. E.\} and F. Cort{\'e}s-Cort{\'e}s",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

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doi = "10.1016/j.physleta.2016.07.058",

language = "English",

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TY - JOUR

T1 - Overlap amplitude and localization properties in aperiodic diluted and non-diluted direct electric transmission lines

AU - Lazo, E.

AU - Castro, C. E.

AU - Cortés-Cortés, F.

PY - 2016/9/23

Y1 - 2016/9/23

N2 - 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 LA and LB, 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 Rq Rényi entropies and the μq moments. In addition, we generalize the scaling relationship for the overlap amplitude Ci,jω, i.e., 〈(Ci,jω)2q〉=(2N)2q.

AB - 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 LA and LB, 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 Rq Rényi entropies and the μq moments. In addition, we generalize the scaling relationship for the overlap amplitude Ci,jω, i.e., 〈(Ci,jω)2q〉=(2N)2q.

KW - Dilution process

KW - Localization properties

KW - Overlap amplitude

KW - Thue–Morse m-tupling sequences

KW - Transmission lines

UR - https://www.scopus.com/pages/publications/84982107476

U2 - 10.1016/j.physleta.2016.07.058

DO - 10.1016/j.physleta.2016.07.058

M3 - Article

AN - SCOPUS:84982107476

SN - 0375-9601

VL - 380

SP - 3284

EP - 3291

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 40

ER -

Overlap amplitude and localization properties in aperiodic diluted and non-diluted direct electric transmission lines

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Keywords

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