Matrix model of strength distribution: Extension and phase transition

Abstract

In this work, we extend a previous study of matrix models of strength distributions. We still retain the nearest neighbor coupling mode but we extend the values of the coupling parameter [Formula: see text]. We consider extremes, from very small [Formula: see text] to very large [Formula: see text]. We first use the same transition operator as before [Formula: see text]. For this case, we get an exponential decrease for small [Formula: see text], as expected, but we get a phase transition beyond [Formula: see text]=10, where we get separate exponentials for even [Formula: see text] and for odd [Formula: see text]. We now also consider the dipole choice where [Formula: see text].