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.
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
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 -