Two-Dimensional Melting of Colloidal Hard Spheres

Thorneywork, Alice L.; Abbott, Joshua L.; Aarts, Dirk G. A. L.; Dullens, Roel P. A.

doi:10.1103/physrevlett.118.158001

Cited by 191 publications

(194 citation statements)

References 42 publications

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“…Furthermore, the eventchain simulation dynamics allow for an independent route to the pressure, 36 with which excellent agreement is found. This further demonstrates the validity of this system as an experimental model for hard disks, as previously shown by Thorneywork et al 11,32 where the contact value was found by extrapolation.…”

Section: Resultssupporting

confidence: 87%

See 1 more Smart Citation

Communication: Contact values of pair distribution functions in colloidal hard disks by test-particle insertion

Stones¹,

Dullens²,

Aarts³

2018

The Journal of Chemical Physics

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We apply Henderson's method for measuring the cavity distribution function y(r) [J. Henderson, Mol. Phys. 48, 389 (1983)] to obtain the pair distribution function at contact, g(σ + ). In contrast to the conventional distance-histogram method, no approximate extrapolation to contact is required. The resulting equation of state from experiments and simulations of hard disks agrees well with the scaled particle theory prediction up to high fluid packing fractions. We also provide the first experimental measurement of y(r) inside the hard core, which will allow for a more complete comparison with theory. The method's flexibility is further illustrated by measuring the partial pair distribution functions of binary hard-disk mixtures in simulation. The equation for the contact values can be used to derive familiar results from statistical geometry. Published by AIP Publishing. https://doi

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Section: Resultssupporting

confidence: 87%

“…11,32 Samples of different packing fractions were imaged every second for 30 min using an Olympus CKX41 bright-field microscope fitted with a 40× objective and a Ximea XIQ CMOS camera. The particle locations were found using standard routines.…”

Section: A Experimentsmentioning

confidence: 99%

Communication: Contact values of pair distribution functions in colloidal hard disks by test-particle insertion

Stones¹,

Dullens²,

Aarts³

2018

The Journal of Chemical Physics

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“…Hard disks are known to order at high densities, transforming first from the fluid to a hexatic phase, and later to a crystalline phase. The nature and phase-transition boundaries of the fluid-hexatic and the hexatic-solid transitions have only recently become clear in large-scale simulations [19] and experiments [20]: in the regime 0.700 ≤ η ≤ 0.716, coexistence between a fluid and the hexatic phase was found. There is a further continuous transition to a solid at η 0.720.…”

Section: Passive Hard Disksmentioning

confidence: 99%

Static structure of active Brownian hard disks

Biniossek

Löwen

Voigtmann

et al. 2018

J. Phys.: Condens. Matter

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Abstract. We explore the changes in static structure of a two-dimensional system of active Brownian particles (ABP) with hard-disk interactions, using event-driven Brownian dynamics simulations. In particular, the effect of the selfpropulsion velocity and the rotational diffusivity on the orientationally-averaged fluid structure factor is discussed. Typically activity increases structural ordering and generates a structure factor peak at zero wave vector which is a precursor of motility-induced phase separation. Our results provide reference data to test future statistical theories for the fluid structure of active Brownian systems.

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“…Finally, while it could be argued that dealing with the thermodynamic properties of two-dimensional HDs may appear to be a merely academic problem, it has practical relevance to confined or adsorbed colloidal systems. In fact, for this latter case some interesting experiments have recently been published in which a canted colloidal monolayer in sedimentation equilibrium is used [85]. These experiments confirm the existence of a firstorder liquid-hexatic phase transition followed by an apparently second-order (or at least continuous) freezing transition.…”

Section: Discussionmentioning

confidence: 76%

Equation of state of polydisperse hard-disk mixtures in the high-density regime

et al. 2017

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A proposal to link the equation of state of a monocomponent hard-disk fluid to the equation of state of a polydisperse hard-disk mixture is presented. Event-driven molecular dynamics simulations are performed to obtain data for the compressibility factor of the monocomponent fluid and of 26 polydisperse mixtures with different size distributions. Those data are used to assess the proposal and to infer the values of the compressibility factor of the monocomponent hard-disk fluid in the metastable region from those of mixtures in the high-density region. The collapse of the curves for the different mixtures is excellent in the stable region. In the metastable regime, except for two mixtures in which crystallization is present, the outcome of the approach exhibits a rather good performance. The simulation results indicate that a (reduced) variance of the size distribution larger than about 0.01 is sufficient to avoid crystallization and explore the metastable fluid branch.

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Two-Dimensional Melting of Colloidal Hard Spheres

Cited by 191 publications

References 42 publications

Communication: Contact values of pair distribution functions in colloidal hard disks by test-particle insertion

Communication: Contact values of pair distribution functions in colloidal hard disks by test-particle insertion

Static structure of active Brownian hard disks

Equation of state of polydisperse hard-disk mixtures in the high-density regime

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