Universal Scaling of Correlated Diffusion in Colloidal Monolayers

Zhang, Wei; Li, Na; Bohinc, Klemen; Tong, Penger; Chen, Wei

doi:10.1103/physrevlett.111.168304

Cited by 9 publications

(27 citation statements)

References 44 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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“…2006; Zhang et al. 2013 b ). In our experiments, however, the monolayer is located a short distance from the water–air interface (figure 8 b ), and the scaling lengths differ in the two directions.…”

Section: Discussionmentioning

confidence: 99%

“…Zhang et al . (2013 b ) also noted that the scaling length in a particle monolayer at a water–air interface depends on both the particle size and the Saffman length. Previous work (Saffman & Delbrück 1975; Saffman 1976; Prasad et al.…”

Section: Introductionmentioning

confidence: 96%

“…When the distance r is much larger than , the momentum diffuses into the surrounding 3-D liquid (Saffman & Delbrück 1975; Saffman 1976; Prasad, Koehler & Weeks 2006; Zhang et al. 2013 a , b ).…”

Section: Introductionmentioning

confidence: 99%

“…2006; Oppenheimer & Diamant 2009, 2010; Zhang et al. 2013 b ) has mainly focused on the HIs in a liquid film suspended in a bulk liquid or at a liquid–liquid interface. In contrast, few experimental studies have investigated the dynamic features of particle monolayers close to a liquid–air interface, which are distinctly different from those for a monolayer at the interface.…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic scaling lengths of colloidal monolayers near a water–air interface

Zhang

Jiang

et al. 2020

J. Fluid Mech.

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Spatial Cross-Correlated Diffusion of Colloids under Shear Flow

Zhang

Jiang

et al. 2018

Langmuir

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The spatial cross-correlated diffusion of colloidal particles is often used as an essential tool to study the dynamic properties of a fluid because it directly describes the hydrodynamic interaction between two particles in a fluid. However, the experimental measurement of cross-correlated diffusion can be substantially modified by even a weak shear flow. In this work, the effect of a shear flow on spatial cross-correlated diffusion is demonstrated using experimental measurements that show a clear dependence on pair angles. An analytical solution is proposed to explain the experimental observations. A numerical simulation is performed to systemically demonstrate the influence of shear flow on spatial cross-correlated diffusion. The results of the experiment, theoretical analysis, and numerical simulation agree well with each other. Therefore, this research provides a sensitive experimental method to determine the weak shear flow in any quasi-two-dimensional fluid systems.

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Universal Scaling of Correlated Diffusion in Colloidal Monolayers

Cited by 9 publications

References 44 publications

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

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

Anisotropic scaling lengths of colloidal monolayers near a water–air interface

Spatial Cross-Correlated Diffusion of Colloids under Shear Flow

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