dorsal/arxiv
View SchemaQuantum Gases in the Microcanonical Ensemble near the Thermodynamic Limit
| Authors | V. V. Begun, M. I. Gorenstein, A. P. Kostyuk, O. S. Zozulya |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0505069 |
| URL | https://arxiv.org/abs/nucl-th/0505069 |
| DOI | 10.1088/0954-3899/32/7/004 |
| Journal | J.Phys.G32:935-948,2006 |
Abstract
A new method is proposed for a treatment of ideal quantum gases in the microcanonical ensemble near the thermodynamic limit. The method allows rigorous asymptotic calculations of the average number of particles and particle number fluctuations in the microcanonical ensemble. It gives also the finite-volume corrections due to exact energy conservation for the total average number of particles and for higher moments of the particle number distribution in a system approaching the thermodynamic limit. A present consideration confirms our previous findings that the scaled variance for particle number fluctuations in the microcanonical ensemble is different from that in the grand canonical ensemble even in the thermodynamic limit.
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"abstract": "A new method is proposed for a treatment of ideal quantum gases in the\nmicrocanonical ensemble near the thermodynamic limit. The method allows\nrigorous asymptotic calculations of the average number of particles and\nparticle number fluctuations in the microcanonical ensemble. It gives also the\nfinite-volume corrections due to exact energy conservation for the total\naverage number of particles and for higher moments of the particle number\ndistribution in a system approaching the thermodynamic limit. A present\nconsideration confirms our previous findings that the scaled variance for\nparticle number fluctuations in the microcanonical ensemble is different from\nthat in the grand canonical ensemble even in the thermodynamic limit.",
"arxiv_id": "nucl-th/0505069",
"authors": [
"V. V. Begun",
"M. I. Gorenstein",
"A. P. Kostyuk",
"O. S. Zozulya"
],
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"nucl-th"
],
"doi": "10.1088/0954-3899/32/7/004",
"journal_ref": "J.Phys.G32:935-948,2006",
"title": "Quantum Gases in the Microcanonical Ensemble near the Thermodynamic Limit",
"url": "https://arxiv.org/abs/nucl-th/0505069"
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