Hydrodynamics of a relativistic charged fluid in the presence of a periodically modulated chemical potential

Hydrodynamics of a relativistic charged fluid in the presence of a periodically modulated chemical potential

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We study charged hydrodynamics in a periodic lattice background.Fluctuations are Bloch waves rather than single momentum Fourier modes.At boundaries of the unit cell where hydrodynamic fluctuations are B6 Vitamins / Pyridoxine formally degenerate with their Umklapped copy, level repulsion occurs.Novel mode mixings between charge, sound, and their Umklapped copies appear at finite chemical potential - Coffee Cups both at zero and finite momentum.We provide explicit examples for an ionic lattice, i.

e.a periodic external chemical potential, and verify our results with numerical computations in fluid-gravity duality.