Friction-controlled bending solitons as folding pathway toward colloidal clusters

Casic, Nebojsa; Schreiber, Steffen; Tierno, Pietro; Zimmermann, Walter; Fischer, Thomas M.

doi:10.1209/0295-5075/90/58001

Cited by 21 publications

(21 citation statements)

References 24 publications

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“…Prime examples of nonequilibrium structure formation are lane formation of charged colloids [1,2], shear banding of rod-like particles [3], the coiling up of chains of magnetic colloids [4], metachronal waves in driven colloids [5], and the formation of colloidal caterpillars [6].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of cluster formation in driven magnetic colloids dispersed on a monolayer

Jäger¹,

Stark²,

Klapp³

2013

J. Phys.: Condens. Matter

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Abstract. We report computer simulation results on the cluster formation of dipolar colloidal particles driven by a rotating external field in a quasi-two-dimensional setup. We focus on the interplay between permanent dipolar and hydrodynamic interactions and its influence on the dynamic behavior of the particles. This includes their individual as well as their collective motion. To investigate these characteristics, we employ Brownian dynamics simulations of a finite system with and without hydrodynamic interactions. Our results indicate that particularly the translationrotation coupling from the hydrodynamic interactions has a profound impact on the clustering behavior.Dynamics of cluster formation in driven dipolar colloids dispersed on a monolayer 2

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Section: Introductionmentioning

confidence: 99%

Dynamics of cluster formation in driven magnetic colloids dispersed on a monolayer

Jäger¹,

Stark²,

Klapp³

2013

J. Phys.: Condens. Matter

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“…6 Many of these nonlinear phenomena, including transient behavior, such as conformal transitions 4 of magnetic chains following a sudden switch-on of the driving field, can also be observed experimentally.…”

Section: Introductionmentioning

confidence: 99%

“…In many experiments involving rotating fields, the size of the (typically superparamagnetic) particles considered is about 1 mm. 4,11 A driving frequency of u * 0 ¼ 10 (which is well within the layered domain) then corresponds to an actual frequency of about 10 kHz if we assume room temperature (T ¼ 293 K) and a mass density of 5 g cm…”

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confidence: 96%

Pattern formation of dipolar colloids in rotating fields: layering and synchronization

Jäger

Klapp

2011

Soft Matter

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We report Brownian dynamics (BD) simulation and theoretical results for a system of spherical colloidal particles with permanent dipole moments in a rotating magnetic field. Performing simulations at a fixed packing fraction and dipole coupling parameter, we construct a full non-equilibrium phase diagram as a function of the driving frequency (u 0 ) and field strength (B 0 ). This diagram contains both synchronized states, where the individual particles follow the field with (on average) constant phase difference, and asynchronous states. The synchronization is accompanied by layer formation, i.e., by spatial symmetry-breaking, similar to systems of induced dipoles in rotating fields. In the permanent dipole case, however, too large u 0 yields a breakdown of layering, supplemented by complex changes of the single-particle rotational dynamics from synchronous to asynchronous behavior. We show that the limit frequencies u c can be well described as a bifurcation in the nonlinear equation of motion of a single-particle rotating in a viscous medium. Finally, we present a simple density functional theory, which describes the emergence of layers in perfectly synchronized states as an equilibrium phase transition.

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“…The bending of the stripes at high value of H xy can be understood by considering the effect of the time-averaged dipolar interactions [37]. In absence of FGF, these interactions are attractive and force a chain of particles like pairs of dimers, to aggregate into a compact cluster [38]. The presence of the honeycomb lattice prevents the formation of these clusters, but the stripes can more easily break due to the loss of synchronization of some composing dimer.…”

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confidence: 99%

Geometric Frustration of Colloidal Dimers on a Honeycomb Magnetic Lattice

Tierno

2016

Phys. Rev. Lett.

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We study the phase behavior and the collective dynamics of interacting paramagnetic colloids assembled above a honeycomb lattice of triangular shaped magnetic minima. A frustrated colloidal molecular crystal is realized when filling these potential minima with exactly two particles per pinning site. External in-plane rotating fields are used to anneal the system into different phases, including long range ordered stripes, random fully packed loops, labyrinth and disordered states. At a higher amplitude of the annealing field, the dimer lattice displays a two-step melting transition where the initially immobile dimers perform first localized rotations and later break up by exchanging particles across consecutive lattice minima. DOI: 10.1103/PhysRevLett.116.038303 Geometric frustration arises when the spatial arrangement of the system elements prevents simultaneous minimization of all interaction energies, and features at low temperature a highly degenerate ground state [1]. Effects of such phenomenon manifest in disparate systems, from classical magnets [2,3] [7][8][9]. Recent experiments with size-tuneable microgel particles [10] have shown that strongly confined colloids represent a versatile model to investigate geometrically frustrated states. In contrast to lattices of interacting nanoscale islands such as artificial spin ice [11,12], colloids feature time and length scales that are accessible via simple light microscopy, combined with the possibility to control in situ the pair interaction via external fields.Above a periodic potential, microscopic particles can be arranged into colloidal molecular crystals [13], i.e., lattices of doublets, triplets, or larger clusters characterized by internal rotational degrees of freedom [14]. While colloidal molecular crystals are excellent models to study geometric frustration effects due to competing orientational order and lattice constraints [15][16][17][18], the focus of these experiments has been placed mainly on the melting scenario of trimer systems on a triangular lattice [13]. On this lattice, trimers can be arranged only in one of two orientational states, while dimers present a richer phase behavior due to the larger number of possible configurations between pairs [17]. The lattice covering by dimer particles is also a fascinating problem in statistical mechanics [19], which has been recently the subject of renewed theoretical interest [20,21], in addition to being present in different processes like melting [18], self-assembly [22], and molecular adsorption on a crystalline surface [23].This Letter investigates the colloidal ordering and dynamics of interacting microscopic dimers self-assembled above a honeycomb magnetic lattice. Each dimer is composed of a pair of paramagnetic colloids confined in a triangular shaped magnetic minimum. An external precessing field sets the dimers into rotational motion, annealing the lattice to a minimum energy state. Depending on the field parameters, the resulting dimer arrangement can be mapped to a long range striped...

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Friction-controlled bending solitons as folding pathway toward colloidal clusters

Cited by 21 publications

References 24 publications

Dynamics of cluster formation in driven magnetic colloids dispersed on a monolayer

Dynamics of cluster formation in driven magnetic colloids dispersed on a monolayer

Pattern formation of dipolar colloids in rotating fields: layering and synchronization

Geometric Frustration of Colloidal Dimers on a Honeycomb Magnetic Lattice

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