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摘要翻译：
我们通过表明理想气体和相互作用气体之间存在交叉，调和了关于稀相互作用玻色气体中玻色-爱因斯坦凝聚转变温度的长期争论。前者对应于Knudsen（或无碰撞）区，其中平均自由程远大于系统维数，而后者对应于相反的水动力区。在Knudsen区，转变温度与非相互作用气体转变温度的偏差与a的平方根成正比，在流体力学区，转变温度与a的平方根成正比，其中a是散射长度。这种交叉可以在玻色气体中观察到，玻色气体被囚禁在势中，或者在光晶格上。
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英文标题：
《Bose-Einstein condensation of a Knudsen gas》
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作者：
Kersion Huang
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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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英文摘要：
We reconcile a long-standing controversy regarding the transition temperature of the Bose-Einstein condensation in a dilute interacting Bose gas, by showing that there is a crossover between ideal gas and interacting gas. The former corresponds to a Knudsen (or collisionless) regime, in which the mean-free-path is much larger than the system dimension, while the latter corresponds to the opposite hydrodynamic regime. The deviation of the transition temperature from that of the non-interacting gas is proportional to the square root of a in the Knudsen regime, and to a in the hydrodynamic regime, where a is the scattering length. This crossover may be observable in a Bose gas trapped in a potential or on an optical lattice.
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PDF链接：
https://arxiv.org/pdf/708.2234
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