Formation of two-dimensional colloidal voids, soap froths, and clusters

Ruíz-García, Jaime; Gámez-Corrales, R.; Ivlev, B. I.

doi:10.1103/physreve.58.660

Cited by 81 publications

(89 citation statements)

References 22 publications

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“…Examples include 2D crystallization [3,4] and grain-boundary fluctuations [5], crystal sublimation [6] and colloidal glasses [7,8], interactions between similarly charged particles [9][10][11][12], and Brownian dynamics at liquid interfaces [13][14][15][16][17]. They offer many advantages over atomic or molecular fluids, because the dynamics of the particles are slower and can be tracked at the single-particle level with video microscopy [18].…”

Section: Introductionmentioning

confidence: 99%

Colloidal dynamics over a tilted periodic potential: Nonequilibrium steady-state distributions

Lai

Ackerson

et al. 2015

Phys. Rev. E

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We report a systematic study of the effects of the external force F on the nonequilibrium steady-state (NESS) dynamics of the diffusing particles over a tilted periodic potential, in which detailed balance is broken due to the presence of a steady particle flux. A tilted two-layer colloidal system is constructed for this study. The periodic potential is provided by the bottom-layer colloidal spheres forming a fixed crystalline pattern on a glass substrate. The corrugated surface of the bottom colloidal crystal provides a gravitational potential field for the top-layer diffusing particles. By tilting the sample at an angle θ with respect to the vertical (gravity) direction, a tangential component of the gravitational force F is applied to the diffusing particles. The measured NESS probability density function P ss (x,y) of the particles is found to deviate from the equilibrium distribution P (x,y) to a different extent, depending on the driving or distance from equilibrium. The experimental results are compared with the exact solution of the one-dimensional (1D) Smoluchowski equation and the numerical results of the 2D Smoluchowski equation. From the obtained exact solution of the 1D Smoluchowski equation, we develop an analytical method to accurately extract the 1D potential U 0 (x) from the measured P ss (x). This work demonstrates that the tilted periodic potential provides a useful platform for the study of forced barrier-crossing dynamics beyond the Arrhenius-Kramers equation.

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Section: Introductionmentioning

confidence: 99%

Colloidal dynamics over a tilted periodic potential: Nonequilibrium steady-state distributions

Lai

Ackerson

et al. 2015

Phys. Rev. E

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“…For example, instead of flocculation and sedimentation in the bulk solvent, the stable clusters and various macro structures appear at the surface, which is attributed to the colloid-colloid attraction. Recent experimental studies of Ruiz-Garcia et al [1,2], and Ghezzi and Earnshaw [3,4] revealed spontaneous formation of loosely bounded ordered structure in colloidal mono-layer trapped at the air-water interface. These include clusters that consist of several colloidal particles, a fragment of two-dimensional crystals, large voids within an extended two-dimensional structure which resembles foams, etc.…”

Section: Introductionmentioning

confidence: 99%

Structural optimization of model colloidal clusters at the air–water interface using genetic algorithms

Iwamatsu

2003

Journal of Colloid and Interface Science

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“…[5][6][7]9,10 The formation of these patterns cannot be explained solely on the basis of repulsive interactions. We have recently measured the pair interaction potential at low particle surface density, 11 and indeed the potential shows a secondary minimum in the micrometer range, similar to those found in colloidal systems trapped between glass plates.…”

Section: Introductionmentioning

confidence: 99%

“…This unexpected attraction has been observed in systems of latex spheres trapped between glass plates 4 or at fluid-fluid interfaces. [5][6][7][8] For colloidal systems trapped between glass plates, the particles repel each other electrostatically through a Yukawatype potential. If the separation of the walls is small enough to restrict the movement of the particles to a plane, a secondary minimum in the micrometer range of the pair interaction potential is formed.…”

Section: Introductionmentioning

confidence: 99%

Predicting the Phase Diagram of Two-Dimensional Colloidal Systems with Long-Range Interactions

2006

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The phase diagram of a two-dimensional model system for colloidal particles at the air-water interface was determined using Monte Carlo computer simulations in the isothermic-isobaric ensemble. The micrometerrange binary colloidal interaction has been modeled by hard disklike particles interacting via a secondary minimum followed by a weaker longer-range repulsive maximum, both of the order of k B T. The repulsive part of the potential drives the clustering of particles at low densities and low temperatures. Pinned voids are formed at higher densities and intermediate values of the surface pressure. The analysis of isotherms, translational and orientational correlation functions as well as structure factor gives clear evidence of the presence of a melting first-order transition. However, the melting process can be also followed by a metastable route through a hexatic phase at low surface pressures and low temperatures, before crystalization occurs at higher surface pressure.

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Formation of two-dimensional colloidal voids, soap froths, and clusters

Cited by 81 publications

References 22 publications

Colloidal dynamics over a tilted periodic potential: Nonequilibrium steady-state distributions

Colloidal dynamics over a tilted periodic potential: Nonequilibrium steady-state distributions

Structural optimization of model colloidal clusters at the air–water interface using genetic algorithms

Predicting the Phase Diagram of Two-Dimensional Colloidal Systems with Long-Range Interactions

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