Stabilization of highly dimensional statistical systems: Girko ensemble

Details Stabilization of highly dimensional statistical systems: Girko ensemble Stabilization of highly dimensional statistical systems: Girko ensemble

2003-01-30

arxiv.org/abs/cond-mat/0301606v2

Physics

Condensed Matter

Statistical Mechanics

5 pages; presented at poster session of the conference "Symposium on Entropy"; June 25th, 2000 to June 28th, 2000; Max Planck

Scientific paper

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.

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