dorsal/arxiv
View SchemaLipkin-Meshkov-Glick model at finite temperature
| Authors | A. N. Storozhenko, D. S. Kosov, A. I. Vdovin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9712015 |
| URL | https://arxiv.org/abs/nucl-th/9712015 |
Abstract
The Lipkin-Meshkov-Glick model is used to examine the validity of some approximate methods in a many-body theory at finite temperatures. Namely, the thermal random phase approximation (TRPA) and the thermal renormalized random phase approximation (TRRPA) are studied. An average energy of the system, an average quasispin projection and a particle number variance are calculated within these approximation and exactly with the grand canonical ensemble partition function. On the whole the results of TRRPA are found to be in better agreement with the exact ones. The validity of the both approximation becomes better with increasing temperature as well as particle number.
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"date_created": "2026-03-02T18:00:22.202000Z",
"date_modified": "2026-03-02T18:00:22.202000Z",
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"abstract": "The Lipkin-Meshkov-Glick model is used to examine the validity of some\napproximate methods in a many-body theory at finite temperatures. Namely, the\nthermal random phase approximation (TRPA) and the thermal renormalized random\nphase approximation (TRRPA) are studied. An average energy of the system, an\naverage quasispin projection and a particle number variance are calculated\nwithin these approximation and exactly with the grand canonical ensemble\npartition function. On the whole the results of TRRPA are found to be in better\nagreement with the exact ones. The validity of the both approximation becomes\nbetter with increasing temperature as well as particle number.",
"arxiv_id": "nucl-th/9712015",
"authors": [
"A. N. Storozhenko",
"D. S. Kosov",
"A. I. Vdovin"
],
"categories": [
"nucl-th"
],
"title": "Lipkin-Meshkov-Glick model at finite temperature",
"url": "https://arxiv.org/abs/nucl-th/9712015"
},
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"execution_id": "b11f69d5-831c-4b8f-9cbc-cd11446287b3",
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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