Crystalline multilayers of the confined Yukawa system

Oğuz, Erdal C.; Messina, René; Löwen, Hartmut

doi:10.1209/0295-5075/86/28002

Cited by 49 publications

(62 citation statements)

References 29 publications

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“…Excluding further the case A ∈ [−1, 0), where all particles are trivially located on plate 1, it is eventually sufficient to focus our investigations to A ∈ [0, 1]. For the symmetric case, i.e., A = 1, the emerging ground state configurations have been fully identified by analytical approaches [24,25] and simulation methods [20][21][22][23]52]. As in the symmetric case, it is convenient to introduce the dimensionless "distance"…”

Section: A Modelmentioning

confidence: 99%

The asymmetric Wigner bilayer

Antlanger

Kahl

Mazars

et al. 2018

The Journal of Chemical Physics

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We present a comprehensive discussion of the so-called asymmetric Wigner bilayer system, where mobile point charges, all of the same sign, are immersed into the space left between two parallel, homogeneously charged plates (with possibly different charge densities). At vanishing temperatures, the particles are expelled from the slab interior; they necessarily stick to one of the two plates, and form there ordered sublattices. Using complementary tools (analytic and numerical) we study systematically the self-assembly of the point charges into ordered ground state configurations as the inter-layer separation and the asymmetry in the charge densities are varied. The overwhelming plethora of emerging Wigner bilayer ground states can be understood in terms of the competition of two strategies of the system: the desire to guarantee net charge neutrality on each of the plates and the effort of the particles to self-organize into commensurate sublattices. The emerging structures range from simple, highly commensurate (and thus very stable) lattices (such as staggered structures, built up by simple motives) to structures with a complicated internal structure. The combined application of our two approaches (whose results agree within remarkable accuracy) allows to study on a quantitative level phenomena such as over-and underpopulation of the plates by the mobile particles, the nature of phase transitions between the emerging phases (which pertain to two different universality classes), and the physical laws that govern the long-range behaviour of the forces acting between the plates. Extensive, complementary Monte Carlo simulations in the canonical ensemble, which have been carried out at small, but finite temperatures along selected, well-defined pathways in parameter space confirm the analytical and numerical predictions within high accuracy. The simple setup of the Wigner bilayer system offers an attractive possibility to study and to control complex scenarios and strategies of colloidal self-assembly, via the variation of two simple system parameters.arXiv:1808.07345v1 [cond-mat.soft] 22 Aug 2018 2

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Section: A Modelmentioning

confidence: 99%

The asymmetric Wigner bilayer

Antlanger

Kahl

Mazars

et al. 2018

The Journal of Chemical Physics

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“….. The 0 • angle is relevant to nucleation in slits with parallel walls, although here for a crystal to form without strain the distance between the walls must equal the width of an integer number of lattice planes 158,159 .…”

Section: Wedgesmentioning

confidence: 99%

The non-classical nucleation of crystals: microscopic mechanisms and applications to molecular crystals, ice and calcium carbonate

Sear

2012

International Materials Reviews

204

219

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Crystals form via nucleation followed by growth. Often nucleation data is interpreted using the classical theory of nucleation, which is essentially a simple theory for the nucleation of a fluid phase. I characterise this classical theory as making six assumptions; I discuss each assumption in turn. I then review experiments and simulations that find nucleation behaviour that cannot be described by the classical theory. The experiments are on the crystallisation from solution of molecules such as drugs and related molecules, ice and calcium carbonate. The review also covers work on non-classical nucleation in solutions of the protein lysozyme, and work on the fascinating phenomenon of nucleation induced by laser pulses. I hope this review will be of interest to those studying the crystallisation of both molecules and ions from solution. The review aims to advance our understanding of the crucial first step in crystallisation, and to enable researchers studying crystallisation in one system to learn from what others have done in studying analogous phenomena in different systems.

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“…An example of very strong confinement is given in a slit-geometry between two parallel plates which results in a few crystalline layers if the plate distance is small [13,14]. The extreme limit is a quasi-two-dimensional colloidal monolayer.…”

Section: Introductionmentioning

confidence: 99%

Confined colloidal crystals in and out of equilibrium

Reinmüller

Oğuz

Messina

et al. 2013

Eur. Phys. J. Spec. Top.

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Recent studies on confined crystals of charged colloidal particles are reviewed, both in equilibrium and out of equilibrium. We focus in particular on direct comparisons of experiments (light scattering and microscopy) with lattice sum calculations and computer simulations. In equilibrium we address buckling and crystalline multilayering of charged systems in hard and soft slit confinement. We discuss also recent crystalline structures obtained for charged mixtures. Moreover we put forward possibilities to apply external perturbations, in order to drive the system out of equilibrium. These include electrolyte gradients as well as the application of shear and electric fields.

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Crystalline multilayers of the confined Yukawa system

Cited by 49 publications

References 29 publications

The asymmetric Wigner bilayer

The asymmetric Wigner bilayer

The non-classical nucleation of crystals: microscopic mechanisms and applications to molecular crystals, ice and calcium carbonate

Confined colloidal crystals in and out of equilibrium

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