摘要翻译：
研究了费米气体在酉极限下维里状态方程中动力学高阶微扰和统计非线性红外涨落/关联的作用。结合量子能级交叉重排效应，自发产生的熵偏离了平均场理论的形式，得到了简明的热力学表达式。首次计算了具有复杂非局部关联的无量纲维里系数。通过一个通项公式，发现酉费米气体的维里系数与理想量子气体的维里系数成整数比的正比。与理想玻色子($a^{(0)}_2=-\frac{1}{4\sqrt{2}}$)和费米子($a^{(0)}_2=\frac{1}{4\sqrt{2}}$)相反，费米气体在单一性时的第二维里系数$a_2$等于零。BCS-BEC交叉热力学在玻尔兹曼体系中表现出著名的纯经典波义耳定律，由于前序量子修正的消失，BCS-BEC交叉热力学表现为Boltzmann体系中的Boyle定律。通过研究焦耳-汤姆逊效应，可以验证非高斯相关现象。
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英文标题：
《The virial equation of state for unitary fermion thermodynamics with
  non-Gaussian correlations》
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作者：
Ji-sheng Chen, Jia-rong Li, Yan-ping Wang, Xiang-jun Xia
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Quantum Gases        量子气体
分类描述：Ultracold atomic and molecular gases, Bose-Einstein condensation, Feshbach resonances, spinor condensates, optical lattices, quantum simulation with cold atoms and molecules, macroscopic interference phenomena
超冷原子分子气体，玻色-爱因斯坦凝聚，Feshbach共振，旋量凝聚，光学晶格，冷原子分子量子模拟，宏观干涉现象
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一级分类：Physics        物理学
二级分类：High Energy Physics - Phenomenology        高能物理-现象学
分类描述：Theoretical particle physics and its interrelation with experiment. Prediction of particle physics observables: models, effective field theories, calculation techniques. Particle physics: analysis of theory through experimental results.
理论粒子物理及其与实验的相互关系。粒子物理可观测物的预测：模型，有效场论，计算技术。粒子物理：通过实验结果分析理论。
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一级分类：Physics        物理学
二级分类：Nuclear Theory        核理论
分类描述：Nuclear Theory Theory of nuclear structure covering wide area from models of hadron structure to neutron stars. Nuclear equation of states at different external conditions. Theory of nuclear reactions including heavy-ion reactions at low and high energies. It does not include problems of data analysis, physics of nuclear reactors, problems of safety, reactor construction
核理论涵盖从强子结构模型到中子星等广泛领域的核结构理论。不同外部条件下的核状态方程。核反应理论，包括低能和高能的重离子反应。它不包括数据分析问题、核反应堆物理问题、安全问题、反应堆建设问题
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一级分类：Physics        物理学
二级分类：Quantum Physics        量子物理学
分类描述：Description coming soon
描述即将到来
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英文摘要：
  We study the roles of the dynamical high order perturbation and statistically non-linear infrared fluctuation/correlation in the virial equation of state for the Fermi gas in the unitary limit. Incorporating the quantum level crossing rearrangement effects, the spontaneously generated entropy departing from the mean-field theory formalism leads to concise thermodynamical expressions. The dimensionless virial coefficients with complex non-local correlations are calculated up to the fourth order for the first time. The virial coefficients of unitary Fermi gas are found to be proportional to those of the ideal quantum gas with integer ratios through a general term formula. Counterintuitively, contrary to those of the ideal bosons ($a^{(0)}_2=-\frac{1}{4 \sqrt{2}}$) or fermions($a^{(0)}_2=\frac{1}{4 \sqrt{2}}$), the second virial coefficient $a_2$ of Fermi gas at unitarity is found to be equal to zero. With the vanishing leading order quantum correction, the BCS-BEC crossover thermodynamics manifests the famous pure classical Boyle's law in the Boltzmann regime. The non-Gaussian correlation phenomena can be validated by studying the Joule-Thomson effect.
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PDF链接：
https://arxiv.org/pdf/712.0205