Regensburg 2000 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 25: Symposium Niveaustatistik und Quantenchaos

DY 25.3: Fachvortrag

Dienstag, 28. März 2000, 15:20–15:40, H3

Fluctuations in Random RL-C Networks — •Yan Fyodorov — Universität-GH Essen, Fachbereich Physik, 45117 Essen

Disordered RL−C networks are known to be an adequate model for describing fluctuations of electric fields in a random metal-dielectric composite. These fluctuations reflect presence of "dielectric resonances" which are poles of the conductance of dissipationless LC networks. In the present paper I give an account of recent work on statistical properties of a long-ranged version of RL−C network. The main goal is to show that it can be studied analytically in the framework of the Efetov’s non-linear σ− model. As a particular example I study the two-point spectral correlation function of the electric potentials at a given lattice node. For infinite-ranged (“full connectivity”) networks fluctuations turn out to be the same as those provided by the Wigner-Dyson theory of usual random matrices. For networks with a finite range of connectivity Anderson localisation effects modify the statistics.