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Matching also requires a zero O(δ-1) transverse salt flux, which is automatically satisfied. When proceeding with the analysis to higher asymptotic orders, however, nonzero O(1) transverse ionic fluxes appear within the Debye layer. These fluxes are animated by an effective surface conduction mechanism (at small Dukhin number) associated with the intense tan
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Matching also requires a zero O(δ-1) transverse salt flux, which is automatically satisfied. When proceeding with the analysis to higher asymptotic orders, however, nonzero O(1) transverse ionic fluxes appear within the Debye layer. These fluxes are animated by an effective surface conduction mechanism (at small Dukhin number) associated with the intense tangential field. The associated nonzero salt flux is accommodated in a diffusive boundary layer, thicker than the Debye layer. This mechanism and the related boundary-layer structure were extensively studied in Ref. 3. This structure does not affect the calculation of the leading-order electrophoretic velocity.
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Debye-layer quasi-equilibrium is destroyed at larger O(δ-2) applied fields. At this extreme limit bulk electro-neutrality no longer holds (see ), suggesting that the intense electro-migration effectively sweeps the diffuse-cloud ions away from the particles.
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Debye-layer quasi-equilibrium is destroyed at larger O(δ-2) applied fields. At this extreme limit bulk electro-neutrality no longer holds (see ), suggesting that the intense electro-migration effectively sweeps the diffuse-cloud ions away from the particles.
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A note on the electrostatic force and torque acting on an isolated body in an electric field
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