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Off-diagonal (transverse) effects in micropatterned geometries are predicted and analyzed within the general frame of linear-response theory, relating applied pressure gradient and electric field to flow and electric current. These effects could contribute to the design of pumps, mixers, or flow detectors. Shape and charge-density modulations are proposed as a means to obtain sizeable transverse effects, as demonstrated by focusing on simple geometries and using the lubrication approximation.
Armand Ajdari (Fri,) studied this question.