Lipkin-Meshkov-Glick model at finite temperature

Details Lipkin-Meshkov-Glick model at finite temperature Lipkin-Meshkov-Glick model at finite temperature

1997-12-04

arxiv.org/abs/nucl-th/9712015v1

Physics

Nuclear Physics

Nuclear Theory

11 pages, 6 figures

Scientific paper

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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