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

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, LA and LB, according to an asymmetric dichotomous sequence. Using the scaling properties of the participation number D we 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: lim β→∞m(ω,τ,β) → 1.0 or lim τ→∞m(ω,τ,β) → 1.0, for the appearing of the disorder–order transitions. Here m(ω,τ,β) are the slopes of the linear relationships between ln (D) and ln (N). In addition, in each ωc resonance frequency generated by the dilution process we demonstrate the existence of extended intermediate states in the thermodynamic limit.