Phase diagram of colloidal spheres in a biaxial electric or magnetic field

Smallenburg, Frank; Dijkstra, Marjolein

doi:10.1063/1.3425734

Cited by 28 publications

(30 citation statements)

References 26 publications

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“…[60]). For sufficiently large field strength B 0 , both experiments and computer simulations [65][66][67][68][69] reveal the formation of layers in the field plane, i.e. a spatial symmetry breaking induced by the rotating field.…”

Section: A Polarizable Spheres In Rotating Fieldsmentioning

confidence: 99%

Collective dynamics of dipolar and multipolar colloids: From passive to active systems

Klapp

2016

Current Opinion in Colloid & Interface Science

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This article reviews recent research on the collective dynamical behavior of colloids with dipolar or multipolar interactions. Indeed, whereas equilibrium structures and static self-assembly of such systems are now rather well understood, the past years have seen an explosion of interest in understanding dynamicals aspects, from the relaxation dynamics of strongly correlated dipolar networks over systems driven by time-dependent, electric or magnetic fields, to pattern formation and dynamical control of active, self-propelled systems. Unraveling the underlying mechanisms is crucial for a deeper understanding of self-assembly in and out of equilibrium and the use of such particles as functional devices. At the same time, the complex dynamics of dipolar colloids poses challenging physical questions and puts forward their role as model systems for nonlinear behavior in condensed matter physics. Here we attempt to give an overview of these developments, with an emphasis on theoretical and simulation studies. arXiv:1602.00107v1 [cond-mat.soft]

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Section: A Polarizable Spheres In Rotating Fieldsmentioning

confidence: 99%

Collective dynamics of dipolar and multipolar colloids: From passive to active systems

Klapp

2016

Current Opinion in Colloid & Interface Science

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“…ref. 9,21), is that the particles follow the field synchronously. While this is obviously fulfilled in systems of induced dipoles, less is known about the corresponding behavior of particles with permanent dipole moments, such as the (ferromagnetic) particles of a ferrofluid.…”

Section: 17mentioning

confidence: 99%

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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“…Therefore, it seems not unreasonable to assume that the SSCD would result in a widening of the parameter regime for which crystal phases such as body-centered tetragonal and bodycentered orthorhombic lattices, which are based on shifted strings, [8][9][10]12 are stable. On the other hand, because repulsions are weaker, it becomes less important for a string to be shifted exactly half a unit cell with respect to its neighbors.…”

Section: Discussionmentioning

confidence: 99%

“…Unsurprisingly, therefore, experimental studies in which electric fields are used to orientationally and/or positionally organize particles are commonplace today, [1][2][3][4][5][6][7] as are simulation studies in this area. [8][9][10][11][12] The simultaneous progress in particle synthesis 13,14 continues to increase the diversity of systems suitable for electric-field induced assembly. Nowadays, particles of many sizes, materials, and anisotropic shapes can be synthesized and the problem of theoretically describing the interaction of these anisotropic particles with the electric field and with each other under the influence of the electric field becomes less and less trivial.…”

Section: Introductionmentioning

confidence: 99%

Self-consistent electric field-induced dipole interaction of colloidal spheres, cubes, rods, and dumbbells

Kwaadgras

Roij

Dijkstra

2014

The Journal of Chemical Physics

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Articles you may be interested inTopology of surfaces for molecular Stark energy, alignment, and orientation generated by combined permanent and induced electric dipole interactions J. Chem. Phys. 140, 064317 (2014) When calculating the interaction between electric field-induced dipoles, the dipole moments are often taken to be equal to their polarizability multiplied by the external electric field. However, this approach is not exact, since it does not take into account the fact that particles with a dipole moment affect the local electric field experienced by other particles. In this work, we employ the Coupled Dipole Method to calculate the electric-field-induced dipole pair interaction self-consistently: that is, we take into account many-body effects on the individual induced dipole moments. We calculate interactions of particles with nonvanishing dimensions by splitting them up into self-consistently inducible "chunks" of polarizable matter. For point dipoles, spheres, cubes, rods, and dumbbells, we discuss the differences and commonalities between our self-consistent approach and the aforementioned approach of pre-assigning dipole moments to either the point dipoles or, in the case of spatially extended particles, to the chunks making up the particle. © 2014 AIP Publishing LLC.

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Phase diagram of colloidal spheres in a biaxial electric or magnetic field

Cited by 28 publications

References 26 publications

Collective dynamics of dipolar and multipolar colloids: From passive to active systems

Collective dynamics of dipolar and multipolar colloids: From passive to active systems

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

Self-consistent electric field-induced dipole interaction of colloidal spheres, cubes, rods, and dumbbells

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