Self-diffusion in two-dimensional binary colloidal hard-sphere fluids

Thorneywork, Alice L.; Aarts, Dirk G. A. L.; Horbach, Jürgen; Dullens, Roel P. A.

doi:10.1103/physreve.95.012614

Cited by 21 publications

(12 citation statements)

References 80 publications

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“…With respect to the behavior of the short-time self-diffusion coefficient, our results indicate that hydrodynamic interactions do effect D S , in line with previous results [14,16], although, we find no evidence of an enhancement due to HI. We instead observe a decrease in D S with increasing φ for fixed and no change in D S with for fixed φ.…”

Section: Mean-squared Displacement and Long-time Self-diffusion Cosupporting

confidence: 91%

“…Examples are experiments on the nature of the two-stage melting scenario [1][2][3][4][5], the structure and diffusion in 2D fluids [6][7][8][9][10][11][12][13][14][15][16][17][18][19], the diffusion through 2D random energy landscapes and porous media [20][21][22][23][24], or the glass transition in 2D [25][26][27][28][29][30][31][32]. These experimental studies have been performed on well-characterized model systems in a quasi-2D geometry, which is realized by either sedimenting a monolayer of colloidal particles on a glass plate [13][14][15][16][17], confining the particles between closely spaced glass plates [8,9,33,34], or suspending them on the waterair interface of a water drop [1][2][3]. As a consequence, the colloidal particles move in a 2D plane and, in the case of hard spheres, one effectively obtains a hard-disk system [5,…”

Section: Introductionmentioning

confidence: 99%

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Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles

et al. 2020

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The effect of hydrodynamic interactions (HI) on the long-time self-diffusion in quasi-two-dimensional fluids of paramagnetic colloidal particles is investigated using a combination of experiments and Brownian dynamics (BD) simulations. In the BD simulations, the direct interactions (DI) between the particles consist of a shortranged repulsive part and a long-ranged part that is proportional to 1/r 3 , with r the interparticle distance. By studying the equation of state, the simulations allow for the identification of the regime where the properties of the fluid are fully controlled by the long-ranged interactions, and the thermodynamic state solely depends on the dimensionless interaction strength. In this regime, the radial distribution functions from the simulations are in quantitative agreement with those from the experiments for different fluid area fractions. This agreement confirms that the DI in the experiments and simulations are identical, which thus allows us to isolate the role of HI, as these are not taken into account in the BD simulations. Experiment and simulation fall onto a master curve with respect to the dependence of D L = D L /(D 0 1/2), with D 0 the self-diffusion coefficient at infinite dilution and D L the long-time self-diffusion coefficient. Our results thus show that, although HI affect the short-time selfdiffusion, for a quasi-two-dimensional system with 1/r 3 long-ranged DI, the reduced quantity D L is effectively not affected by HI. Interestingly, this is in agreement with prior work on quasi-two-dimensional colloidal hard spheres.

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Section: Mean-squared Displacement and Long-time Self-diffusion Cosupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles

et al. 2020

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“…The summation is performed over all particle species, and hence our theory is valid for arbitrary polydisperse compositions with many particle species at linear order in concentrations. Including the size effects on solvent-based friction constants [43], this suggests a weak compositional dependence in d = 2 in accordance with experimental results [18] and a strong dependence in d = 3 as we illustrate with simulations below. We should note that the long-time friction coefficients are temperature independent and identical for equilibrium systems of particles in contact with a single thermostat and for non-equilibrium systems with the same types of particles having multiple temperatures.…”

supporting

confidence: 86%

“…At such timescales, hydrodynamic interactions shape the self-diffusion coefficient [14,15] and a recent study explores how the hydrodynamic field of the microswimmer leads to a ballistic motion of tracer particles at short to intermediate timescales [16]. On the other hand, at long timescales t τ c , direct collisions dominate and the effect of the hydrodynamic field is decreased in the long-time self-diffusion coefficient D s [17,18]. This allows for a consistent separation of timescales to implement a multiple-temperature model for studying the long-time transport properties in out-of-equilibrium systems.…”

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confidence: 99%

Long-time diffusion and energy transfer in polydisperse mixtures of particles with different temperatures

Ilker,

Castellana,

Joanny

2021

Preprint

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Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size-and composition-dependent manner. The collisions generate additional friction on the particle while, on top of that, for nonequilibrium (active) systems, the collisions can also lead to an exchange of energy between different types of particles. Accordingly, the long-time diffusion coefficient of a tagged particle is shaped by the interplay between the effective friction and the energy transfer. Using a system of particles with different temperatures, we probe these effects in dilute solutions and derive long-time friction and self-diffusion coefficients as functions of volume fractions, sizes and temperatures of particles. Remarkably, we show that both viscosity and energy flux display a nonlinear dependence on size. The simplicity of our formalism allows to discover various interesting scenarios that can be relevant for biological systems.

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“…2b. Upon increasing area fraction, γ L (t) exhibits the transient subdiffusive behaviour at intermediate times as expected for a hard disk system upon increasing area fraction [36,39]. However, there is a systematic change from a linear longtime behaviour at low area fractions, characteristic of the liquid and hexatic phases, to a plateau at high area fractions, characteristic of a crystal.…”

mentioning

confidence: 59%

Two-Dimensional Melting of Colloidal Hard Spheres

et al. 2017

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We study the melting of quasi-two-dimensional colloidal hard spheres by considering a tilted monolayer of particles in sedimentation-diffusion equilibrium. In particular, we measure the equation of state from the density profiles and use time-dependent and height-resolved correlation functions to identify the liquid, hexatic, and crystal phases. We find that the liquid-hexatic transition is first order and that the hexatic-crystal transition is continuous. Furthermore, we directly measure the width of the liquid-hexatic coexistence gap from the fluctuations of the corresponding interface, and thereby experimentally establish the full phase behavior of hard disks.

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Self-diffusion in two-dimensional binary colloidal hard-sphere fluids

Cited by 21 publications

References 80 publications

Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles

Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles

Long-time diffusion and energy transfer in polydisperse mixtures of particles with different temperatures

Two-Dimensional Melting of Colloidal Hard Spheres

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