A Lifshitz black brane at generic dynamical critical exponent z > 1, with non-zero linear momentum along the boundary, provides a holographic dual description of a non-equilibrium steady state in a quantum critical fluid, with Lifshitz scale invariance but without boost symmetry. We consider moving Lifshitz branes in Einstein-Maxwell-Dilaton gravity and obtain the non-relativistic stress tensor complex of the dual field theory via a suitable holographic renormalisation procedure. The resulting black brane hydrodynamics and thermodynamics are a concrete holographic realization of a Lifshitz perfect fluid with a generic dynamical critical exponent.

通用动力学临界指数z > 1的 Lifshitz 黑膜，沿边界具有非零线性动量，提供了量子临界流体中非平衡稳态的全息双重描述，具有 Lifshitz 尺度不变性但没有增强对称性。我们考虑在爱因斯坦-麦克斯韦-狄拉顿引力中移动 Lifshitz 膜，并通过合适的全息重整化程序获得双场理论的非相对论应力张量复数。由此产生的黑膜流体动力学和热力学是具有通用动力学临界指数的 Lifshitz 完美流体的具体全息实现。