DENSITY-OF-STATES AND LOCALIZATION LENGTHS IN ONE-DIMENSIONAL LINEAR-CHAINS

The integral equation for computing the density of states of a disorde red linear chain of harmonic oscillators is interpreted as describing a stochastic Markov process, and its solution is determined by means o f Monte Carlo simulation of the process. It is also shown that, in add ition to the localization lengths of the eigenstates, the method allow s the computation of the generalized Ljapunov exponents. Many differen t examples of application, ranging from systems with uncorrelated diso rder to deterministic aperiodic chains, are reported.