Entropic analysis of the localization-delocalization transition in a one-dimensional correlated lattice
In this work, propagation of acoustic waves in a one-dimensional binary chain with different types of correlations in elasticity distribution is studied. We applied entropic analysis to investigate and quantify the localization-delocalization transition in long-range correlated chains in terms of the scaling exponent $α$ and discuss its relation to the order-disorder levels in the structure of the chain. The results demonstrated that the entropic consideration detects correctly the critical value of $α$ separating localization from delocalization bands.
cond-mat.stat-mech↗