Statistics of complex dissipative systems

Details Statistics of complex dissipative systems Statistics of complex dissipative systems

2003-01-30

arxiv.org/abs/cond-mat/0301609v2

Physics

Condensed Matter

Statistical Mechanics

7 pages; presented at poster session of the conference "Space Time Chaos: Characterization, Control and Synchronization"; June

Scientific paper

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

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