2018
DOI: 10.1103/physreve.97.032601
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Paramagnetic colloids: Chaotic routes to clusters and molecules

Abstract: We present computer simulations and experiments on dilute suspensions of superparamagnetic particles subject to rotating magnetic fields. We focus on chains of four particles and their decay routes to stable structures. At low rates, the chains track the external field. At intermediate rates, the chains break up but perform a periodic (albeit complex) motion. At sufficiently high rates, the chains generally undergo chaotic motion at short times and decay to either closely packed clusters or more dispersed, col… Show more

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Cited by 18 publications
(10 citation statements)
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“…As can be seen from the figure, at B = 0 Gs, magnetic particles are randomly distributed in the twodimensional simulation area. As shown in Figure 7(a), once an external magnetic field is applied, the magnetic particles gather together within a short time under the action of a magnetic field to form a plurality of short particle chains and clusters of particles [13]. As shown in Figure 7(b), with the increase of magnetic induction intensity, these short chains and clusters will gather together, which will increase the length of the particle chain, thus forming a through chain and forming a bundle chain structure.…”
Section: Comparison and Analysis Of Numerical Simulation And Experimementioning
confidence: 99%
“…As can be seen from the figure, at B = 0 Gs, magnetic particles are randomly distributed in the twodimensional simulation area. As shown in Figure 7(a), once an external magnetic field is applied, the magnetic particles gather together within a short time under the action of a magnetic field to form a plurality of short particle chains and clusters of particles [13]. As shown in Figure 7(b), with the increase of magnetic induction intensity, these short chains and clusters will gather together, which will increase the length of the particle chain, thus forming a through chain and forming a bundle chain structure.…”
Section: Comparison and Analysis Of Numerical Simulation And Experimementioning
confidence: 99%
“…Hence, each droplet chain is a building block of the microrobotic swarm. The evolution of that swarm is determined by the dynamics of the chain, which is governed by the Mason number [ 44–47 ] (Ma: ratio of viscous to magnetic forces), which can be defined as Ma=144ηωμ0μsM2 where η, ω, μ 0 , μ s , and M are, respectively, the solvent viscosity, the angular frequency of the magnetic field, the vacuum magnetic permeability, the solvent magnetic permeability, and the magnetization of a ferrofluid droplet. Figure a (Movie S6, Supporting Information) demonstrates the simulation result of the chain dynamics with increasing rotating frequency.…”
Section: Resultsmentioning
confidence: 99%
“…When the input frequency is high ( f ≫ f c , α = 0 or α ≠ 0), before the ferrofluid droplets have a chance to move appreciably, they sample all possible magnetic field orientations, so the magnetostatic interactions average over all angles and become effectively isotropic. The chain‐like structures then collapse into closely packed planar structures, [ 47 ] and the microswarm immediately transforms into closely packed solid‐like planar structures (Figure 3b and Movie S6, Supporting Information).…”
Section: Resultsmentioning
confidence: 99%
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“…In many of these systems, the cluster formation arises when the particles experience a local confinement or selftrapping due to the nature of the pairwise particleparticle interactions 16,17 . Under various types of driving, these systems can exhibit interesting dynamical effects including self assembly 18,19 , rotating gear behavior 20,21 , and depinning phenomena 22 . In most of these systems, the dynamics is overdamped; however, some systems also include nondissipative effects such as inertia or Magnus forces.…”
Section: Introductionmentioning
confidence: 99%