Diffusiophoresis of a colloidal cylinder in an electrolyte solution near a plane wall

Wang, Li J.; Keh, Huan J.

doi:10.1007/s10404-015-1612-2

Cited by 6 publications

(2 citation statements)

References 33 publications

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“…The small perturbations ␦ ± , ␦ , u r , and u to the equilibrium state satisfying Eqs. (5) to (10) are solved in terms of eq1 (r ) in Eq. (13) and the power-series expansion form of…”

Section: Solution Of the Perturbed Quantitiesmentioning

confidence: 99%

“…A colloidal particle, when placed in a fluid solution having a macroscopic concentration gradient of a solute species that interacts with its surface, will migrate spontaneously along or against the gradient. This migration is known as diffusiophoresis [1][2][3][4][5][6] and provides a mechanism in various practical applications such as particle characterization, transport, manipulation, separation, and deposition in microfluidic and other devices [7][8][9][10]; DNA translocation and sequencing [11][12][13]; pattern formation [14,15]; and autonomous motions of micro/nano-motors [16][17][18]. For a charged particle in an ionic fluid, the particle-ion interaction is in the range of the reciprocal of the Debye screening parameter .…”

Section: Introductionmentioning

confidence: 99%

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Diffusiophoretic mobility of charge‐regulating porous particles

Keh

2016

Electrophoresis

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The diffusiophoresis of a charge-regulating porous sphere, such as polyelectrolyte coil, with an arbitrary thickness of the electric double layer in an electrolyte solution prescribed with a concentration gradient is analytically studied for the first time. The ionogenic functional groups and hydrodynamic frictional segments distribute uniformly within the permeable particle, and a charge regulation model for the association and dissociation reactions of the functional groups relates the fixed charge density to the local electric potential. The electrokinetic equations governing the electric potential, ionic electrochemical potential, and fluid velocity distributions are solved as power-series expansions in the basic fixed charge density. An explicit formula for the diffusiophoretic mobility of the particle, which vanishes at the isoelectric point, is derived from a force balance. The effects of charge regulation on the diffusiophoretic mobility, which depend on various particle and electrolyte characteristics such as the reaction equilibrium constants of the ionogenic functional groups, are significant and interesting. The variation in the bulk concentration of the charge-determining ions can produce more than one reversal in the direction of the diffusiophoretic velocity. The obtained results differ conspicuously from those of impermeable particles and provide valuable information for the interpretation of experimental data.

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“…The small perturbations ␦ ± , ␦ , u r , and u to the equilibrium state satisfying Eqs. (5) to (10) are solved in terms of eq1 (r ) in Eq. (13) and the power-series expansion form of…”

Section: Solution Of the Perturbed Quantitiesmentioning

confidence: 99%