基于配分函数的超流Kubo公式
Superfluid Kubo Formulas from Partition Function
摘要:
线性响应理论将水动力输运系数与应力-能量张量的平衡延迟关联函数和Kubo公式中的全球对称流联系起来。这些传输系数中的一些是非耗散的并且影响平衡时的流体动力学。我们提出了一个代数框架推导久保公式的热输运系数,通过使用平衡配分函数。我们使用的框架,以获得所有这样的输运系数的超流体的久保公式,以及重新推导久保公式为各种正常的流体系统。
英文摘要:
Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are non-dissipative and affect the fluid dynamics at equilibrium. We present an algebraic framework for deriving Kubo formulas for such thermal transport coefficients by using the equilibrium partition function. We use the framework to derive Kubo formulas for all such transport coefficients of superfluids, as well as to rederive Kubo formulas for various normal fluid systems.
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