Quantum thermodynamic fluctuations of a chaotic Fermi-gas model

Details Quantum thermodynamic fluctuations of a chaotic Fermi-gas model Quantum thermodynamic fluctuations of a chaotic Fermi-gas model

2003-02-28

arxiv.org/abs/nucl-th/0302083v1

Nucl.Phys. A724 (2003) 69-84

Physics

Nuclear Physics

Nuclear Theory

23 pages, 4 figures, 1 table

Scientific paper

10.1016/S0375-9474(03)01473-8

We investigate the thermodynamics of a Fermi gas whose single-particle energy levels are given by the complex zeros of the Riemann zeta function. This is a model for a gas, and in particular for an atomic nucleus, with an underlying fully chaotic classical dynamics. The probability distributions of the quantum fluctuations of the grand potential and entropy of the gas are computed as a function of temperature and compared, with good agreement, with general predictions obtained from random matrix theory and periodic orbit theory (based on prime numbers). In each case the universal and non--universal regimes are identified.

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