Effective Lifshitz black holes with arbitrary dynamical exponent are addressed in the fluid/gravity membrane paradigm. The transport and the response coefficients in the dual Lifshitz field theory are calculated and analyzed, including the charge diffusion constant and the shear mode damping constant, along with the shear-viscosity-to-entropy density ratio. The Kubo formula is employed to obtain the electrical DC conductivity for the gauge sector corresponding to impurity through the holographic linear response of gauge vector fluctuations in the Lifshitz black brane geometry.

中文翻译：

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流体/重力对应中的有效 Lifshitz 黑洞、流体动力学和输运系数


具有任意动力学指数的有效 Lifshitz 黑洞在流体/重力膜范式中得到解决。计算并分析了对偶 Lifshitz 场论中的输运系数和响应系数，包括电荷扩散常数和剪切模阻尼常数，以及剪切粘度与熵密度比。采用 Kubo 公式通过 Lifshitz 黑布兰几何中规范矢量波动的全息线性响应获得对应于杂质的规范扇区的直流电导率。