  This article is concerned with statistics of addition spectra for systems of
identical charged particles. A classical model is suggested in order to study
fluctuations of Coulomb blockade peak spacings in large two-dimensional
semiconductor quantum dots. It is based on the electrostatics of several
electron islands among which there are random inductive and capacitive
couplings. Each island can accommodate electrons on quantum orbitals whose
energy depend also on an external magnetic field. | In contrast with a single
island quantum dot where the spacing distribution between conductance peaks is
close to Gaussian, here the distribution has a peak at small spacing value. The
fluctuations are mainly due to charging effects. The model can explain the
occasional occurrence of couples or even triples of closely spaced Coulomb
blockade peaks, as well as the qualitative behavior of peak positions with the
applied magnetic field.
