2004
DOI: 10.1002/elps.200406092
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Dielectrophoresis of nanoparticles

Abstract: A numerical scheme based on the distributed Lagrange multiplier method (DLM) is used to study the motion of nano-sized particles of dielectric suspensions subjected to uniform and nonuniform electric fields. Particles are subjected to both electrostatic and hydrodynamic forces, as well as Brownian motion. The results of the simulations presented in this paper show that uniform electric fields the evolution of the particle structures depends on the ratio of electrostatic particle-particle interactions and Brown… Show more

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Cited by 101 publications
(73 citation statements)
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“…Similarly, the electrostatic interactions among polarized particles, which normally cause the particles to cluster in the direction of the electric field when particles are suspended in a bulk fluid (mutual attraction leading to chain formation), create here repulsive forces instead, thus preventing the particles from clustering. To further explain this, we note that when the line joining the centers of two particles is perpendicular to the electric field, the force acting on them is repulsive and when it is parallel the force is attractive (16)(17)(18)(19)(20)(21)(22)(23). The former orientation, however, is typically unstable, and therefore, particles of an electrorheological suspension cluster into chains aligned with the electric field direction.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Similarly, the electrostatic interactions among polarized particles, which normally cause the particles to cluster in the direction of the electric field when particles are suspended in a bulk fluid (mutual attraction leading to chain formation), create here repulsive forces instead, thus preventing the particles from clustering. To further explain this, we note that when the line joining the centers of two particles is perpendicular to the electric field, the force acting on them is repulsive and when it is parallel the force is attractive (16)(17)(18)(19)(20)(21)(22)(23). The former orientation, however, is typically unstable, and therefore, particles of an electrorheological suspension cluster into chains aligned with the electric field direction.…”
Section: Resultsmentioning
confidence: 99%
“…However, the repulsive forces caused by the interparticles electrostatic interactions (Eq. 2) decay relatively faster (5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23) with the distance between the particles (these forces decay as r Ϫ4 ). Because the repulsive force decays faster than the attractive capillary force, there is an equilibrium distance at which the two curves intersect and the total lateral force acting on the particles is zero.…”
Section: Resultsmentioning
confidence: 99%
“…Using this expression, it is easy to show that the electrostatic interaction force between two particles is attractive and also that it causes the particles to orient such that the line joining their centers is parallel to the electric field direction (except in the degenerate case when the line joining their centers is perpendicular to the electric field, in which case they repel). Similar interactions take place between particles in a nonuniform electric field [27,30,31]. Direct numerical simulations (DNS) conducted using this expression for the interaction force show that two particles subjected to a nonuniform electric field attract each other and orient such that the line joining their centers is parallel to the local electric field direction while they move together toward the location where the electric field strength is locally maximal or minimal, depending on the value of their dielectric constant relative to that of the two fluids [32][33][34].…”
Section: Dep Forces On Particlesmentioning
confidence: 98%
“…(10), (15), and (16)) offer a clear indication of the competing role of the particle dielectric constants and the surrounding medium. In particular, if they are equal the DEP forces extinguish.…”
Section: Dep Forcesmentioning
confidence: 99%
“…[11][12][13][14] This strategy can be easily integrated in lab-on-chip devices. 15 Following this strategy, domain structuring of ferroelectric surfaces [16][17][18] allows the use of the associated electrostatic fields and/or suitable electrochemical reactions for manipulation and patterning of molecules and nanoparticles. [19][20][21] Pyroelectric fields in domain structured ferroelectric surfaces have been also proposed to induce the dielectrophoretic (DEP) forces required for nanoparticle patterning.…”
mentioning
confidence: 99%