Electro-hydrodynamics of binary electrolytes driven by modulated surface potentials

Details Electro-hydrodynamics of binary electrolytes driven by modulated surface potentials Electro-hydrodynamics of binary electrolytes driven by modulated surface potentials

2004-07-07

arxiv.org/abs/cond-mat/0407160v2

Phys. Rev. E 71, 056306 (2005).

Physics

Condensed Matter

Soft Condensed Matter

9 pages including 4 figures. Accepted for PRE-

Scientific paper

10.1103/PhysRevE.71.056306

We study the electro-hydrodynamics of the Debye screening layer that arises in an aqueous binary solution near a planar insulating wall when applying a spatially modulated AC-voltage. Combining this with first order perturbation theory we establish the governing equations for the full non-equilibrium problem and obtain analytic solutions in the bulk for the pressure and velocity fields of the electrolyte and for the electric potential. We find good agreement between the numerics of the full problem and the analytics of the linear theory. Our work provides the theoretical foundations of circuit models discussed in the literature. The non-equilibrium approach also reveals unexpected high-frequency dynamics not predicted by circuit models.

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