Complex-valued second difference as a measure of stabilization of complex dissipative statistical systems: Girko ensemble

Details Complex-valued second difference as a measure of stabilization of complex dissipative statistical systems: Girko ensemble Complex-valued second difference as a measure of stabilization of complex dissipative statistical systems: Girko ensemble

2002-12-18

arxiv.org/abs/cond-mat/0212455v2

Physics

Condensed Matter

Statistical Mechanics

6 pages; "Space-time chaos: Characterization, control and synchronization; Proceedings of the International Interdisciplinary

Scientific paper

A quantum statistical system with energy dissipation is studied. Its
statistics is governed by random complex-valued non-Hermitean Hamiltonians
belonging to complex Ginibre ensemble. The eigenenergies are shown to form
stable structure. Analogy of Wigner and Dyson with system of electrical charges
is drawn.

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