Resonances in random reactance networks with fluctuating entries

Abstract

It is well known that disordered LC networks are an appropriate model for describing giant fluctuations of electric fields in a random metal-dielectric composite. The fluctuations reflect an inherent multifractal internal structure of the local fields which arise due to dipole-dipole interactions between the clusters with ''dielectric resonances". The resonances are poles of the conductance of disordered dissipationless LC networks. Though this topic is widely presented in the literature, described methods allow to study only the cases with fixed L and C values randomly distributed on a lattice. In this paper we generalize this approach and study random LC networks with fluctuating values of L and C entries. We demonstrate anticrossing of resonances due to their dipole-dipole interaction and splitting of the typical resonances for a discrete set of fluctuating L or C (or both) entries.