Electrophoretic Mobility of a Sphere in a Spherical Cavity

Lee, Eric; Chu, Jhih‐Wei; Hsu, Jong-Ping

doi:10.1006/jcis.1998.5595

Cited by 87 publications

(150 citation statements)

References 24 publications

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“…The governing equations are solved numerically by an orthogonal collocation method based on Chebyshev polynomials, which is an effective algorithm for similar problems [13,23,24]. maximum.…”

Section: Charge-regulated Surfacementioning

confidence: 99%

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Electrophoretic mobility of concentrated spheres with a charge-regulated surface

2000

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Section: Charge-regulated Surfacementioning

confidence: 99%

“…Second, an arbitrarily thick double layer can be assumed, that is, the effect of the overlapping of double layers can be examined. The governing equations of the system under consideration are solved by a pseudospectral method based on Chebyshev polynomials, which is found to be an effective algorithm for similar problems [13,23,24].…”

Section: Introductionmentioning

confidence: 99%

Electrophoretic mobility of concentrated spheres with a charge-regulated surface

2000

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“…Of course, experiments always involve finite geometries, and in some cases walls play a crucial role in electrophoresis. The linear electrophoretic motion of symmetric (spherical or cylindrical) particles near insulating or dielectric walls [5][6][7][8][9][10] and in bounded cavities or channels [11][12][13][14][15][16][17][18][19][20] has been analyzed extensively. Depending on the geometry and the double-layer thickness, walls can either reduce or enhance the translational velocity, and the rotational velocity can be opposite to the rolling typical of sedimention near a wall.…”

Section: Introductionmentioning

confidence: 99%

Induced‐charge electrophoresis near a wall

Kilic

Bazant

2011

Electrophoresis

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Induced-charge electrophoresis (ICEP) has mostly been analyzed for asymmetric particles in an infinite fluid, but channel walls in real systems further break symmetry and lead to dielectrophoresis (DEP) in local field gradients. Zhao and Bau (Langmuir, 23, 4053, 2007) predicted that a metal (ideally polarizable) cylinder is repelled from an insulating wall in a DC field. We revisit this problem with an AC field and show that attraction to the wall sets in at high frequency and leads to an equilibrium distance, where DEP balances ICEP, although, in three dimensions, a metal sphere is repelled from the wall at all frequencies. This conclusion, however, does not apply to asymmetric particles. Consistent with the experiments of Gangwal et al. (Phys. Rev. Lett., 100, 058302, 2008), we show that a metal/insulator Janus particle is always attracted to the wall in an AC field. The Janus particle tends to move toward its insulating end, perpendicular to the field, but ICEP torque rotates this end toward the wall. Under some conditions, the theory predicts steady translation along the wall, perpendicular to the field, at an equilibrium tilt angle around 45 degrees, consistent with the experiments, although improved models are needed for a complete understanding of this phenomenon.

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“…Various types of geometry have been considered and analytical [6][7][8][9][10], semi-analytical [11,12], and numerical results reported [13][14][15][16][17][18][19][20][21]. Due to the difficulty involved in solving the governing equations, analytical results are available mainly under drastic assumptions such as simple geometry, low surface potential, and infinitely thin or infinitely thick double layers.…”

Section: Introductionmentioning

confidence: 99%

Electrophoresis of a charge‐regulated toroid normal to a large disk

Hsu

Kuo

2008

Electrophoresis

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The electrophoresis of a charge-regulated toroid (doughnut-shaped entity) normal to a large disk is investigated under the conditions of low surface potential and weak applied electric field. The system considered is capable of modeling the electrophoretic behavior of various types of biocolloids such as bacterial DNA, plasmid DNA, and anabaenopsis near a perfectly conducting planar wall. The influences of the size of the toroid, the separation distance between the toroid and the disk, the charged conditions on the surfaces of the toroid and the disk, and the thickness of electric double layer on the electrophoretic mobility of the toroid are discussed. The results of numerical simulation reveal that under typical conditions the electrophoretic behavior of the toroid can be different from that of an integrated entity. For instance, if the surface of the toroid carries both acidic and basic functional groups, its mobility may have a local maximum as the thickness of double layer varies. We show that the electrophoretic behavior of the toroid is different, both qualitatively and quantitatively, from that of the corresponding integrated particle (particle without hole).

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Electrophoretic Mobility of a Sphere in a Spherical Cavity

Cited by 87 publications

References 24 publications

Electrophoretic mobility of concentrated spheres with a charge-regulated surface

Electrophoretic mobility of concentrated spheres with a charge-regulated surface

Induced‐charge electrophoresis near a wall

Electrophoresis of a charge‐regulated toroid normal to a large disk

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