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arXiv 0904.0053cond-mat.quant-gascond-mat.other
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幺正费米气体有限温度热力学的比较研究

Comparative study of the finite-temperature thermodynamics of a unitary Fermi gas

Fang Qin, Ji-sheng Chen

摘要:

研究了幺正费米气体的有限温度热力学。在准线性近似下,给出了化学势、能量密度和熵的解析表达式。计算得到的基态能量与前人的理论和实验结果一致。最近,广义不相容统计被应用于有限温度幺正费米气体热力学的讨论。两种不同的方法之间的具体比较进行。重点是每个粒子的熵的行为。在物理学中,熵的斜率给出了低温强简并区费米子有效质量$m^*/m$的信息。与用广义排除统计量给出的$m^*/m \approx 0.70<1$相比,我们的拟线性近似确定了$m^*/m\approx 1.11>1$。

英文摘要:

We study the finite-temperature thermodynamics of a unitary Fermi gas. The chemical potential, energy density and entropy are given analytically with the quasi-linear approximation. The ground state energy agrees with previous theoretical and experimental results. Recently, the generalized exclusion statistics is applied to the discussion of the finite-temperature unitary Fermi gas thermodynamics. A concrete comparison between the two different approaches is performed. Emphasis is made on the behavior of the entropy per particle. In physics, the slope of entropy gives the information for the effective fermion mass $m^*/m$ in the low temperature strong degenerate region. Compared with $m^*/m \approx 0.70<1$ given in terms of the generalized exclusion statistics, our quasi-linear approximation determines $m^*/m\approx 1.11>1$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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