一阶耗散超流体动力学理论
A theory of first order dissipative superfluid dynamics
摘要：
我们确定了相对论性超流流体动力学方程的最一般形式，该方程在一阶导数展开中符合Lorentz不变性、时间反演不变性、Onsager原理和热力学第二定律。一旦宇称被违反，无论是因为$U(1)$对称性是异常的，还是由于不同的宇称破缺机制，我们的结果偏离了标准的教科书分析的超流体。我们的通用方程需要指定20个参数（如粘度和电导率）。在小的相对超流速度的限制下，我们发现一个七参数方程组。在相同的极限下，我们用AdS/CFT对应计算了宇称奇对一般全息模型超流运动方程的贡献，并验证了我们的结果是一致的。
英文摘要：
We determine the most general form of the equations of relativistic superfluid hydrodynamics consistent with Lorentz invariance, time-reversal invariance, the Onsager principle and the second law of thermodynamics at first order in the derivative expansion. Once parity is violated, either because the $U(1)$ symmetry is anomalous or as a consequence of a different parity-breaking mechanism, our results deviate from the standard textbook analysis of superfluids. Our general equations require the specification of twenty parameters (such as the viscosity and conductivity). In the limit of small relative superfluid velocities we find a seven parameter set of equations. In the same limit, we have used the AdS/CFT correspondence to compute the parity odd contributions to the superfluid equations of motion for a generic holographic model and have verified that our results are consistent.
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