Stabilization of highly dimensional statistical systems: Girko ensemble
Statistical Mechanics
2007-05-23 v2
Abstract
A quantum statistical system with energy dissipation is studied. Its statisitics is governed by random complex-valued non-Hermitean Hamiltonians belonging to complex Ginibre ensemble. The eigenenergies are shown to form stable structure in thermodynamical limit (large matrix dimension limit). Analogy of Wigner and Dyson with system of electrical charges is drawn.
Cite
@article{arxiv.cond-mat/0301606,
title = {Stabilization of highly dimensional statistical systems: Girko ensemble},
author = {Maciej M. Duras},
journal= {arXiv preprint arXiv:cond-mat/0301606},
year = {2007}
}
Comments
5 pages; presented at poster session of the conference "Symposium on Entropy"; June 25th, 2000 to June 28th, 2000; Max Planck Institute for the Physics of Complex Systems; Dresden, Germany (2000)