dorsal/arxiv
View SchemaQuantum thermodynamic fluctuations of a chaotic Fermi-gas model
| Authors | P. Leboeuf, A. G. Monastra |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0302083 |
| URL | https://arxiv.org/abs/nucl-th/0302083 |
| DOI | 10.1016/S0375-9474(03)01473-8 |
| Journal | Nucl.Phys. A724 (2003) 69-84 |
Abstract
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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"abstract": "We investigate the thermodynamics of a Fermi gas whose single-particle energy\nlevels are given by the complex zeros of the Riemann zeta function. This is a\nmodel for a gas, and in particular for an atomic nucleus, with an underlying\nfully chaotic classical dynamics. The probability distributions of the quantum\nfluctuations of the grand potential and entropy of the gas are computed as a\nfunction of temperature and compared, with good agreement, with general\npredictions obtained from random matrix theory and periodic orbit theory (based\non prime numbers). In each case the universal and non--universal regimes are\nidentified.",
"arxiv_id": "nucl-th/0302083",
"authors": [
"P. Leboeuf",
"A. G. Monastra"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(03)01473-8",
"journal_ref": "Nucl.Phys. A724 (2003) 69-84",
"title": "Quantum thermodynamic fluctuations of a chaotic Fermi-gas model",
"url": "https://arxiv.org/abs/nucl-th/0302083"
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