A unified theory of dipolophoresis for nanoparticles

Physics of Fluids

Volumn 20, Issue 10, 2008, Pages

  Miloh, Touvia ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOIDS; ELECTRIC FIELDS; ELECTROPHORESIS; MAXWELL EQUATIONS;

CHARGED COLLOIDS; ELECTRIC FORCING; ELECTROPHORETIC EFFECTS; FORCE AND TORQUES; INDUCED CHARGES; PARTICLES OF ARBITRARY SHAPES; SUBMICROMETERS; UNSTEADY STOKES EQUATIONS;

NANOPARTICLES;

EID: 55849118395     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2997344     Document Type: Conference Paper

References (62)

1. J. Lyklema, Fundamentals of Interface and Colloid Science (Academic, New York, 1995), Vol. 2.
2. W. B. Russel, D. Saville, and W. R. Schowalter, Colloidal Dispersion (Cambridge University Press, Cambridge, 1989).
3. P. C. Hiemenz and R. Rajagopalan, Principles of Colloid and Surface Chemistry (Dekker, New York, 1997).
4. R. J. Hunter, Foundations of Colloidal Science (Oxford University Press, Oxford, 2000).
5. H. Morgan and N. G. Green, AC Electrokinetics: Colloids and Nanoparticles (Research Studies, Philadelphia, 2003).
6. T. B. Jones, "Basic theory of dielectrophoresis and electrorotation," IEEE Eng. Med. Biol. Mag. IEMBDE0739-517510.1109/ MEMB.2003.1304999 22, 33 (2003).
7. K. H. Bhatt, S. Gregio, and O. D. Velev, "An AC electrokinetic technique for collection and concentration of particles and cells on patterned electrodes," Langmuir LANGD50743-746310.1021/la050658w 21, 6603 (2005).
8. H.-C. Chang, "Electro-kinetics: A viable micro-fluidic platform for miniature diagnostic kits," Can. J. Chem. Eng. CJCEA70008-403410.1139/v05-255 84, 1 (2006).
9. M. Teubner, "The motion of charged colloidal particles in electric fields," J. Chem. Phys. JCPSA60021-960610.1063/1.442861 76, 5564 (1982).
10. R. W. O'Brien, "Electro-acoustic effects in a dilute suspension of spherical particles," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112088001211 190, 71 (1988).
11. J. L. Anderson, "Colloid transport by interfacial forces," Annu. Rev. Fluid Mech. ARVFA30066-4189 21, 61 (1989).
12. A. Sellier, "Migration of an insulating particle under the action of uniform ambient electric and magnetic fields: Part 2. Boundary formulation and ellipsoidal particles," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003004944 488, 335 (2003).
13. I. Ermolina and H. Morgan, "The electrokinetic properties of latex particles: Comparison of electrophoresis and dielectrophoresis," J. Colloid Interface Sci. JCISA50021-979710.1016/j.jcis.2004.11.003 285, 419 (2005).
14. S. Basuray and H.-C. Chang, "Induced dipoles and dielectrophoresis of nano-colloids in electrolyte," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.75.060501 75, 060501 (2007).
15. H. A. Pohl, Dielectrophoresis (Cambridge University Press, New York, 1978).
16. T. B. Jones, Electromechanics of Particles (Cambridge University Press, London, 2005).
17. M. Z. Bazant and T. M. Squires, "Induced-charge electrokinetic phenomena: Theory and micro fluidic applications," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.92.066101 92, 066101 (2004).
18. T. M. Squires and M. Z. Bazant, "Induced-charge-electro-osmosis," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004009309 509, 217 (2004).
19. D. A. Saville, "Electrokinetic effects in micro- and nano-fluids," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fl.09.010177.001541 9, 321 (1977).
20. S. Kim and S. J. Karilla, Microhydrodynamics: Principles and Selected Applications (Dover, New York, 1991).
21. E. Yariv and T. Miloh, "Electro-convection about conducting particles," J. Fluid Mech. JFLSA70022-112010.1017/S0022112007009196 595, 163 (2008).
22. V. N. Shilov and V. P. Estrela-Lopis, Surface Forces in Thin Films and Dispersed Systems (Consultants Bureau, New York, 1975), Vol. 4, p. 121.
23. V. N. Shilov and T. S. Simonova, "Polarization of electric-double-layer of dispersive particles and dipolophoresis in steady (DC) field," Colloid J. USSR COJOA50010-1303 43, 108 (1981).
24. T. M. Squires and M. Z. Bazant, "Breaking symmetries in induced-charged electro-osmosis," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006000371 560, 65 (2006).
25. T. Miloh, "Dipolophoresis of nanoparticles," Phys. Fluids PHFLE61070-663110.1063/1.2931080 20, 063303 (2008).
26. J. Happel and H. Brenner, Low Reynolds Hydrodynamics (Martinus Nijhoff, The Hague, 1983).
27. C. Pozrikidis, Introduction to Theoretical and Computational Fluid Dynamics (Oxford University Press, New York, 1997).
28. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
29. N. J. Rivette and J. C. Baygents, "A note on the electrostatic force and torque acting on an isolated body in electric field," Chem. Eng. Sci. CESCAC0009-250910.1016/S0009-2509(96)00337-5 51, 5205 (1996).
30. X. Wang, X.-B. Wang, and P. R. C. Gascoyne, "General expressions for dielectrophoretic force and electro rotational torque derived using the Maxwell stress tensor method," J. Electrost. JOELDH0304-388610.1016/S0304-3886(97)00126-5 39, 277 (1997).
31. J.-P. Hsu, L.-H. Yeh, and M.-H. Ku, "Evaluation of the electric force in electrophoresis," J. Colloid Interface Sci. JCISA50021-979710.1016/j.jcis.2006.09.076 305, 324 (2007).
32. L. Landweber and T. Miloh, "The Lagally theorem for unsteady multipoles and deformable bodies," J. Fluid Mech. JFLSA70022-112010.1017/S0022112080002005 96, 33 (1980).
33. E. Yariv, "Force-free electrophoresis?" Phys. Fluids PHFLE61070-663110.1063/1.2185690 18, 031702 (2006).
34. G. Yossifon, "Non-linear electrokinetic phenomena in micro- and nano-fluids," Ph.D. thesis, Tel Aviv University, 2007.
35. M. Z. Bazant, K. Thornton, and A. Ajdari, "Diffuse-charge dynamics in electrochemical systems," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.70.021506 70, 021506 (2004).
36. F. A. Morrison, "Electrophoresis of a particle of arbitrary shape," J. Colloid Interface Sci. JCISA50021-979710.1016/ 0021-9797(70)90171-2 34, 210 (1970).
37. E. Yariv, "Induced-charge electrophoresis of nonspherical particles," Phys. Fluids PHFLE61070-663110.1063/1.1900823 17, 051702 (2005).
38. D. Saintillan, E. S. G. Shaqfeh, and E. Darve, "Stabilization of a suspension of sedimenting rods by induced-charge-electrophoresis," Phys. Fluids PHFLE61070-663110.1063/1.2404948 18, 121701 (2006).
39. D. Saintillan, E. Darve, and E. S. G. Shaqfeh, "Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersion," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112006001376 563, 223 (2006).
40. G. Yossifon, I. Frankel, and T. Miloh, "Symmetry breaking in induced charge electro-osmosis over polarizable spheroids," Phys. Fluids PHFLE61070-663110.1063/1.2746847 19, 068105 (2007).
41. V. A. Murtsovkin, "Nonlinear flows near polarized disperse particles," Colloid J. CJRSEQ1061-933X 58, 341 (1996).
42. W. D. Ristenpart, I. A. Aksay, and D. A. Saville, "Electrodynamic flow around a colloidal particle near an electrode with an oscillating potential," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006004368 575, 83 (2007).
43. G. Yossifon, I. Frankel, and T. Miloh, "Macro-scale description of transient electro-kinetic phenomena over polarizable dielectric solids," J. Fluid Mech. JFLSA70022-1120 (in press).
44. C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge University Press, Cambridge, 1992).
45. H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, 1932).
46. T. Miloh, "The ultimate image singularities for external ellipsoidal harmonics," SIAM J. Appl. Math. SMJMAP0036-139910.1137/ 0126031 26, 334 (1974).
47. T. Miloh and L. Landweber, "Generalization of the Kelvin-Kirchhoff equation for the motion of a body through a fluid," Phys. Fluids PFLDAS0031-917110.1063/1.863248 24, 6 (1981).
48. E. Yariv, "Nonlinear electrophoresis of ideally polarizable particles," Europhys. Lett. EULEEJ0295-507510.1209/0295-5075/82/ 54004 82, 54004 (2008).
49. M. S. Kilic, M. Z. Bazant, and A. Ajdari, "Steric effects in the dynamics of electrolyte at large applied voltage: Double layer charging," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.75.021502 75, 021502 (2007).
50. M. S. Kilic, M. Z. Bazant, and A. Ajdari, "Steric effects in the dynamics of electrolyte at large applied voltage: Modified Poisson-Nernst-Plank equations," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.75.021503 75, 021503 (2007).
51. S. S. Dukhin and V. N. Shilov, Dielectric Phenomena and the Double Layer in Disperse Systems and Polyelectrolytes (Wiley, New York, 1974).
52. V. N. Shilov, S. Barany, C. Grosse, and O. Shramko, "Field-induced disturbance of the double-layer electro-neutrality and non-linear electrophoresis," Adv. Colloid Interface Sci. ACISB90001-868610.1016/S0001-8686(03)00040-X 104, 159 (2003).
53. R. F. Probstein, Physicochemical Hydrodynamics-An Introduction (Butterworth, Boston, 1994).
54. D. C. Henry, "The cataphoresis of suspended particles. Part 1: The equations of cataphoresis," Proc. R. Soc. London, Ser. A PRLAAZ0950-120710.1098/rspa.1931.0133 133, 106 (1931).
55. S. Gangwal, O. J. Cayre, M. Z. Bazant, and O. D. Velev, "Induced-charge electrophoresis of metallodielectric particles," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.100.058302 100, 058302 (2008).
56. H. Liu and H. H. Bau, "The dielectrophoresis of cylinders and spherical particles in shells and in semi-infinite media," Phys. Fluids PHFLE61070-663110.1063/1.1649237 16, 1217 (2004).
57. S.-H. Lou, E. Lee, and J.-P. Hsu, "Dynamic electrophoresis of a spherical cavity: Arbitrary surface potential," J. Colloid Interface Sci. JCISA50021-979710.1016/j.jcis.2004.12.013 285, 865 (2005).
58. H. Zhao and H. H. Bau, "Micro fluidic chaotic stirrer utilizing induced-charge electro-osmosis," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.75.066217 75, 066217 (2007).
59. D. Saintillan, "Nonlinear interactions in electrophoresis of ideally polarizable particles," Phys. Fluids PHFLE61070-663110.1063/ 1.2931689 20, 067104 (2008).
60. H. J. Tu and H. J. Keh, "Particle interactions in diffusiophoresis and electrophoresis of colloidal spheres with thin but polarized double layers," J. Colloid Interface Sci. JCISA50021-979710.1006/ jcis.2000.7145 231, 265 (2000).
61. T. Miloh, "Hydrodynamics of deformable contiguous spherical shapes in an incompressible inviscid fluid," J. Eng. Math. JLEMAU0022-0833 12, 1 (1978).
62. T. L. Mahaworasilpa, H. G. L. Coster, and E. P. George, "Forces on biological cells due to applied alternating electric fields. 2. Electro-rotation," Biochim. Biophys. Acta BBACAQ0006-3002 1281, 5 (1995).