Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions, 3rd edn. Dover.

Acrivos, A. & Taylor, T. D. 1962 Heat and mass transfer from single spheres in stokes flow. Phys. Fluids 5 (4), 387–394.

Ajdari, A. 2000 Pumping liquids using asymmetric electrode arrays. Phys. Rev. E 61 (1), R45–R48.

Anderson, J. L. 1989 Colloid transport by interfacial forces. Annu. Rev. Fluid Mech. 30, 139–165.

Bazant, M. Z. & Squires, T. M. 2004 Induced-charge electrokinetic phenomena: theory and microfluidic applications. Phys. Rev. Lett. 92 (6).

Ben, Y. & Chang, H. C. 2002 Nonlinear Smoluchowski slip velocity and micro-vortex generation. J. Fluid Mech. 461, 229–238.

Ben, Y., Demekhin, E. A. & Chang, H. C. 2004 Nonlinear electrokinetics and “superfast” electrophoresis. J. Colloid Interface Sci. 276, 483–497.

Böhmer, M. 1996 In situ observation of 2-dimensional clustering during electrophoretic deposition. Langmuir 12, 5747–5750.

Brown, A. B. D., Smith, C. G. & Rennie, A. R. 2000 Pumping of water with ac electric fields applied to asymmetric pairs of microelectrodes. Phys. Rev. E 63 (1), 016305.

Chu, K. T. & Bazant, M. Z. 2006 Nonlinear electrochemical relaxation around conductors. Phys. Rev. E 74, 11501.

Dukhin, A. S. 1986 Pair interaction of disperse particles in electric-field. 3. Hydrodynamic interaction of ideally polarizable metal particles and dead biological cells. Colloid J. USSR 48, 376–381.

Dukhin, S. S. 1991 Electrokinetic phenomena of the 2nd kind and their applications. Adv. Colloid Interface 35, 173–196.

Dukhin, A. S., Vincent, B. & Mozes, N. 1993 Biospecific mechanism of double layer formation and peculiarities of cell electrophoresis. Colloid Surface A 73, 29–48.

Eijkel, J. & Berg, A. 2005 Nanofluidics: what is it and what can we expect from it? Microfluid. Nanofluid. 1, 249–267.

Gamayunov, N. I., Murtsovkin, V. A. & Dukhin, A. S. 1986 Pair interaction of particles in electric-field. 1. Features of hydrodynamic interaction of polarized particles. Colloid J. USSR 48 (2), 197–203.

Gangwal, S., Cayre, O., Bazant, M. & Velev, O. 2008 Induced-charge electrophoresis of metallodielectric particles. Phys. Rev. Lett. 100, 58302.

González, A., Ramos, A., Green, N. G., Castellanos, A. & Morgan, H. 2000 Fluid flow induced by nonuniform ac electric fields in electrolytes on microelectrodes. II. A linear double-layer analysis. Phys. Rev. E 61 (4), 4019–4028.

Green, N. G., Ramos, A., González, A., Morgan, H. & Castellanos, A. 2000 Fluid flow induced by nonuniform ac electric fields in electrolytes on microelectrodes. I. Experimental measurements. Phys. Rev. E 61 (4), 4011–4018.

Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall

Harnett, C., Templeton, J., Dunphy-Guzman, K., Senousy, Y. & Kanouff, M. 2008 Model based design of a microfluidic mixer driven by induced charge electroosmosis. Lab Chip 8 (4), 565–572.

Hinch, E. J. 1991 Perturbation Methods. Cambridge University Press.

Hückel, E. 1924 The cataphoresis of the sphere. Phys. Z. 25, 204–210.

Keh, H. J. & Anderson, J. L. 1985 Boundary effects on electrophoretic motion of colloidal spheres. J. Fluid Mech. 153, 417–439.

Keh, H. & Chen, S. 1993 Diffusiophoresis and electrophoresis of colloidal cylinders. Langmuir 9 (4), 1142–1149.

Keh, H., Horng, K. & Kuo, J. 2006 Boundary effects on electrophoresis of colloidal cylinders. J. Fluid Mech. 231, 211–228.

Levich, V. G. 1962 Physicochemical Hydrodynamics. Prentice-Hall.

Levitan, J., Devasenathipathy, S., Studer, V., Ben, Y., Thorsen, T., Squires, T. & Bazant, M. 2005 Experimental observation of induced-charge electro-osmosis around a metal wire in a microchannel. Colloids Surface A 267 (1–3), 122–132.

Miloh, T. 2008 Dipolophoresis of nanoparticles. Phys. Fluids 20, 107105.

Murtsovkin, V. A. 1996 Nonlinear flows near polarized disperse particles. Colloid J. 58 (3), 341–349.

Natarajan, R. & Schechter, R. S. 1986 The solution of the nonlinear Poisson-Boltzmann equation for thick, spherical double-layers. J. Colloid Interface Sci. 113 (1), 241–247.

Proudman, I. & Pearson, J. R. A. 1957 Expansions at small Reynolds number for the flow past a sphere and a circular cylinder. J. Fluid Mech. 2, 237–531.

Ramos, A., Morgan, H., Green, N. & Castellanos, A. 1998 AC electrokinetics: a review of forces in microelectrode structures. J. Phys. D: Appl. Phys. 31, 2338–2353.

Ristenpart, W. D., Aksay, I. A. & Saville, D. A. 2004 Assembly of colloidal aggregates by electrohydrodynamic flow: Kinetic experiments and scaling analysis. Phys. Rev. E 69, 21405.

Ristenpart, W. D., Aksay, I. A. & Saville, D. A. 2007 *a* Electrically driven flow near a colloidal particle close to an electrode with a Faradaic current. Langmuir 23, 4071–4080.

Ristenpart, W. D., Aksay, I. A. & Saville, D. A. 2007 *b* Electrohydrodynamic flow around a colloidal particle near an electrode with an oscillating potential. J. Fluid Mech. 575, 83–109.

Rose, K., Meier, J., Dougherty, G. & Santiago, J. 2007 Rotational electrophoresis of striped metallic microrods. Phys. Rev. E 75, 11503.

Rubinstein, I. & Shtilman, L. 1979 Voltage against current curves of cation exchange membranes. J. Chem. Soc. Farad. T. 2 75, 231–246.

Rubinstein, I. & Zaltzman, B. 2001 Electro-osmotic slip of the second kind and instability in concentration polarization at electrodialysis membranes. Math. Mod. Meth. Appl. S. 11, 263–300.

Saintillan, D. 2008 Nonlinear interactions in electrophoresis of ideally polarizable particles. Phys. Fluids 20, 067104.

Saintillan, D. In preparation. Nonlinear effects in electrophoresis of polarizable particles near rigid boundaries.

Saintillan, D., Darve, E. & Shaqfeh, E. S. G. 2006 *a* Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions. J. Fluid Mech. 563, 223–259.

Saintillan, D., Shaqfeh, E. S. G. & Darve, E. 2006 *b* Stabilization of a suspension of sedimenting rods by induced-charge electrophoresis. Phys. Fluids 18 (12), 121503.

Saville, D. A. 1977 Electrokinetic effects with small particles. Annu. Rev. Fluid Mech. 9, 321–337.

Schoch, R., Han, J. & Renaud, P. 2008 Transport phenomena in nanofluidics. Rev. Mod. Phys. 80, 839–883.

Shilov, V. N. & Simonova, T. S. 1981 Polarization of electric double-layer of disperse particles and dipolophoresis in a steady (dc) field. Colloid J. USSR 43 (1), 90–96.

Sides, P. J. 2001 Electrohydrodynamic particle aggregation on an electrode driven by an alternating electric field normal to it. Langmuir 17, 5791–5800.

Sides, P. J. 2003 Calculation of electrohydrodynamic flow around a single particle on an electrode. Langmuir 19, 2745–2751.

Simonov, I. N. & Dukhin, S. S. 1973 Theory of electrophoresis of solid conducting particles in case of ideal polarization of a thin diffuse double-layer. Colloid J. USSR 35 (1), 191–193.

Simonova, T. S., Shilov, V. N. & Shramko, O. A. 2001 Low-frequency dielectrophoresis and the polarization interaction of uncharged spherical particles with an induced Debye atmosphere of arbitrary thickness. Colloid J. 63 (1), 108–115.

Solomentsev, Y., Böhmer, M. & Anderson, J. L. 1997 Particle clustering and pattern pormation during electrophoretic deposition: a hydrodynamic model. Langmuir 13, 6058–6068.

Squires, T. M. & Bazant, M. Z. 2004 Induced-charge electro-osmosis. J. Fluid Mech. 509, 217–252.

Squires, T. M. & Bazant, M. Z. 2006 Breaking symmetries in induced-charge electro-osmosis and electrophoresis. J. Fluid Mech. 560, 65–101.

Stein, D., Kruithof, M. & Dekker, C. 2004 Surface-charge-governed ion transport in nanofluidic channels. Phys. Rev. Lett. 93, 35901.

Subramanian, R. S. 1981 Slow migration of a gas bubble in a thermal gradient. AIChE J. 27, 646–654.

Thamida, S. & Chang, H. C. 2002 Nonlinear electrokinetic ejection and entrainment due to polarization at nearly insulated wedges. Phys. Fluids 14, 4315.

Trau, M., Saville, D. A. & Aksay, I. A. 1996 Field-induced layering of colloidal crystals. Science 272, 706.

Trau, M., Saville, D. A. & Aksay, I. A. 1997 Assembly of colloidal crystals at electrode interfaces. Langmuir 13, 6375–6381.

Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic press

Wang, S., Chen, H., Lee, C., Yu, C. & Chang, H. 2006 AC electro-osmotic mixing induced by non-contact external electrodes. Biosensors and Bioelectronics 22 (4), 563–567.

Yariv, E. 2005 Induced-charge electrophoresis of nonspherical particles. Phys. Fluids 17 (5), 051702.

Yariv, E. 2008 *a* Nonlinear electrophoresis of ideally polarizable spherical particles. Europhys. Lett. 82, 54004.

Yariv, E. 2008 *b* Slender-body approximations for electro-phoresis and electro-rotation of polarizable particles. J. Fluid Mech. 613, 85–94.

Yariv, E. 2009 Boundary-induced electrophoresis of uncharged conducting particles: remote-wall approximations. Proc. R. Soc. A. 465, 709–723.

Yariv, E. & Miloh, T. 2008 Electro-convection about conducing particles. J. Fluid Mech. 595, 163–172.

Yossifon, G., Frankel, I. & Miloh, T. 2006 On electro-osmotic flows through microchannel junctions. Phys. Fluids 18, 117108.

Yossifon, G., Frankel, I. & Miloh, T. 2007 Symmetry breaking in induced-charge electro-osmosis over polarizable spheroids. Phys. Fluids 19, 068105.

Yossifon, G., Frankel, I. & Miloh, T. 2009 Macro-scale description of transient electro-kinetic phenomena over polarizable dielectric solids. J. Fluid Mech. 620, 241–262.

Zaltzman, B. & Rubinstein, I. 2007 Electro-osmotic slip and electroconvective instability. J. Fluid Mech. 579, 173–226.

Zhao, H. & Bau, H. 2007 *a* Microfluidic chaotic stirrer utilizing induced-charge electro-osmosis. Phys. Rev. E 75.

Zhao, H. & Bau, H. 2007 *b* On the effect of induced electro-osmosis on a cylindrical particle next to a surface. Langmuir 23, 4053–4063.