[统计数据] 二维统计相互作用量子气体的热力学 [推广有奖]

摘要翻译：
本文给出了D维统计相互作用量子气体的精确热力学（等值线、等温线、等压线、响应函数）。d=1的结果是热力学Bethe ansatz对非线性Schroedinger模型的结果，该模型是具有排斥两体接触势的气体。在所有维度中，理想玻色子和费米子气体分别恢复到弱耦合和强耦合极限。对于所有非零耦合，理想的费米子气体行为在d>>1时出现，在极限d->无穷远时，在t>0处发生相变。对于中间耦合和有限D,发现了与理想量子气体行为的显著偏差。
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英文标题：
《Thermodynamics of statistically interacting quantum gas in D dimensions》
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作者：
Geoffrey G. Potter, Gerhard Mueller, and Michael Karbach
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最新提交年份：
2007
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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：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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英文摘要：
  We present the exact thermodynamics (isochores, isotherms, isobars, response functions) of a statistically interacting quantum gas in D dimensions. The results in D=1 are those of the thermodynamic Bethe ansatz for the nonlinear Schroedinger model, a gas with repulsive two-body contact potential. In all dimensions the ideal boson and fermion gases are recovered in the weak-coupling and strong-coupling limits, respectively. For all nonzero couplings ideal fermion gas behavior emerges for D>>1 and, in the limit D->infinity, a phase transition occurs at T>0. Significant deviations from ideal quantum gas behavior are found for intermediate coupling and finite D.
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PDF链接：
https://arxiv.org/pdf/710.1031