2015
DOI: 10.1149/2.0161511jes
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Mesoscale Particle-Based Model of Electrophoresis

Abstract: We develop and evaluate a semi-empirical particle-based model of electrophoresis using extensive mesoscale simulations. We parameterize the model using only measurable quantities from a broad set of colloidal suspensions with properties that span the experimentally relevant regime. With sufficient sampling, simulated diffusivities and electrophoretic velocities match predictions of the ubiquitous Stokes-Einstein and Henry equations, respectively. This agreement holds for non-polar and aqueous solvents or ionic… Show more

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Cited by 11 publications
(10 citation statements)
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“…which defines the dimensionless ratio of the electrophoretic velocity and bulk diffusivity colloids . 36 Thus, larger Pećlet values correspond to greater driving forces due to the electric field. We simulate a set of colloidal suspensions characterized by six Pe = {26.5, 53, 107, 214, 429, 858}, each with six distinct λ D = {1.5625, 3.125, 6.25, 12.5, 25, 50} nm as listed in the Supporting Information.…”
Section: Resultsmentioning
confidence: 99%
“…which defines the dimensionless ratio of the electrophoretic velocity and bulk diffusivity colloids . 36 Thus, larger Pećlet values correspond to greater driving forces due to the electric field. We simulate a set of colloidal suspensions characterized by six Pe = {26.5, 53, 107, 214, 429, 858}, each with six distinct λ D = {1.5625, 3.125, 6.25, 12.5, 25, 50} nm as listed in the Supporting Information.…”
Section: Resultsmentioning
confidence: 99%
“…At the finest level of resolution, fluid, ions, and particles are simulated by Lagrangian approaches. These explicit solvent methods [37] typically apply coarse-grained molecular dynamics (MD) models to describe the motion of fluid molecules and incorporate Brownian motion [38]. The mesoscale dissipative particle dynamics method is applied in [39] to simulate electrophoresis of a polyelectrolyte in a nanochannel.…”
Section: Related Workmentioning
confidence: 99%
“…Moreover, the resolution of solvent, macromolecules, and ions on the same scale limits the maximal problem sizes that can be simulated [41]. Also the mapping of measurable properties from colloidal suspensions to these particle-based methods is problematic [37]. The high computational effort is significantly reduced in implicit particle-based methods that incorporate hydrodynamic interactions into the inter-particle forces.…”
Section: Related Workmentioning
confidence: 99%
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“…The settling rate (V s ) can be expressed by the Stokes law [122] , as shown in Eq.5.3. And the electrophoretic mobility (μ e ) is related to the zeta potential by the Henry Equation [123] (Eq.5.4). (Smoluchowski approximation) [124] Combining with Eq.5.3 and 5.4, Eq.5.5 can be obtained:…”
Section: Epd Of Cnfs 1) Zeta Potentialmentioning
confidence: 99%