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Quantum thermodynamic fluctuations of a chaotic Fermi-gas model

โœ Scribed by P. Leboeuf; A.G. Monastra

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
249 KB
Volume
724
Category
Article
ISSN
0375-9474

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โœฆ Synopsis

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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