Disorder–order transitions in diluted and nondiluted direct transmission lines with asymmetric dichotomous noise

E. Lazo (), F. R. Humire and E. Saavedra
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E. Lazo: Departmento de Física, Universidad de Tarapacá, Arica, XV Región, Box 7-D, Chile
F. R. Humire: Departmento de Física, Universidad de Tarapacá, Arica, XV Región, Box 7-D, Chile
E. Saavedra: Departmento de Física, Universidad de Tarapacá, Arica, XV Región, Box 7-D, Chile

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 07, 1-20

Abstract: In this work we study the localization properties of diluted and nondiluted disordered direct transmission lines (TLs), when we distribute two values of inductances,LAandLB, according to an asymmetric dichotomous sequence. Using the scaling properties of the participation numberDwe study the localization properties in the thermodynamic limit. For certain τ and β parameter specific values, which characterize the dichotomous noise, we have found the following limit conditions:limβ→∞m(ω,τ,β) → 1.0orlimτ→∞m(ω,τ,β) → 1.0, for the appearing of the disorder–order transitions. Herem(ω,τ,β)are the slopes of the linear relationships betweenln(D)andln(N). In addition, in eachωcresonance frequency generated by the dilution process we demonstrate the existence of extended intermediate states in the thermodynamic limit.

Keywords: Asymmetric dichotomous noise; disordered transmission lines; diluted systems; disorder–order transitions; 71.55.Jv; 72.15.Rn; 71.23.An (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500235

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