%0 Journal Article
%T Structure and Curvatures of Trajectories of a 2D Log-Gas
%A M. P. Pato
%A O. Bohigas
%J Journal of Applied Mathematics and Physics
%P 32-38
%@ 2327-4379
%D 2014
%I Scientific Research Publishing
%R 10.4236/jamp.2014.25005
%X A model is constructed to study the statistical properties of irregular trajectories of a log-gas whose positions are those of the complex eigenvalues of the unitary Ginibre ensemble. It is shown that statistically the trajectories form a structure that reveals the eigenvalue departure positions. It is also shown that the curvatures of the ensemble of trajectories are Cauchy distributed.
%K Statistical Mechanics
%K Random Matrix Theory
%K Quantum Hall Effect
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45234