Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-01-08
Reg. Chaot. Dyn. 6 (2001) 205-210
Nonlinear Sciences
Chaotic Dynamics
10 pages, 2 figures, 1 table
Scientific paper
The properties of a fictitious, fermionic, many-body system based on the complex zeros of the Riemann zeta function are studied. The imaginary part of the zeros are interpreted as mean-field single-particle energies, and one fills them up to a Fermi energy $E_F$. The distribution of the total energy is shown to be non-Gaussian, asymmetric, and independent of $E_F$ in the limit $E_F\to\infty$. The moments of the limit distribution are computed analytically. The autocorrelation function, the finite energy corrections, and a comparison with random matrix theory are also discussed.
Bohigas Oriol
Leboeuf Patricio
Monastra Alejandro G.
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