RT Journal Article T1 Delocalized vibrations in classical random chains A1 Domínguez-Adame Acosta, Francisco A1 Maciá Barber, Enrique Alfonso A1 Sánchez, Angel AB Normal modes of one-dimensional disordered chains with two couplings, one of them assigned at random to pairs in an otherwise perfect chain, are investigated. We diagonalize the dynamical matrix to find the normal modes and to study their spatial extent. Multifractal analysis is used to discern clearly the localized or delocalized character of vibrations. In constrast to the general viewpoint that all normal modes in one dimensional random chains are localized, we find a set of extended modes close to a critical frequency, whose number increases with the system size and becomes independent of the defect concentration. PB American Physical Society SN 0163-1829 YR 1993 FD 1993-09-01 LK https://hdl.handle.net/20.500.14352/59400 UL https://hdl.handle.net/20.500.14352/59400 LA eng NO © 1993 The American Physical Society.We are indebted to Sergey A. Gredeskul for helpful discussions. We also thank the Comision Interministerial de Ciencia y Tecnologia of Spain for financial support under Project No. MAT90-0544 and the Universidad Carlos III de Madrid for computer facilities. NO Comision Interministerial de Ciencia y Tecnologia of Spain DS Docta Complutense RD 12 may 2025