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Structure, compressibility factor, and dynamics of highly size-asymmetric binary hard-disk liquids
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10.1063/1.4751546
/content/aip/journal/jcp/137/10/10.1063/1.4751546
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/10/10.1063/1.4751546
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) The pair correlation function g l (r) and (b) the static structure factor S l (q) at low-q region at varying ϕ l for ϕ s = 0.

Image of FIG. 2.
FIG. 2.

(a) The self-intermediate scattering function at varying ϕ l for ϕ s = 0. (b) ϕ l dependence of α-relaxation time τα at ϕ s = 0. The red solid line is the result of the MCT power-law fitting τα ∼ (ϕ c − ϕ l )−γ with γ = 3.8 and ϕ c = 0.791. The green dashed line is the result of the Vogel-Fulcher-Tamman fitting with D = 0.28 and ϕ c = 0.805.

Image of FIG. 3.
FIG. 3.

(a) The pair correlation function g l (r) and (b) the bond-orientation correlation function g 6(r) at varying ϕ s for δ = 0.2 and ϕ l = 0.784.

Image of FIG. 4.
FIG. 4.

ϕ s dependence of static correlation length ξ6 at δ = 0.2 and ϕ l = 0.784. ξ6 is obtained by fitting g 6(r)/g(r) with the OZ function (see text). The solid line is a guide for the eyes.

Image of FIG. 5.
FIG. 5.

Main: ϕ s dependence of the compressibility factor Z at varying ϕ l for δ = 0.2. Inset: effect of δ on Z at ϕ l = 0.784.

Image of FIG. 6.
FIG. 6.

Different contributions to the total Z for δ = 0.2 at several ϕ l values. s-s, s-l, and l-l indicate contributions from small-small, small-large, and large-large particle collisions, respectively. The zoom in the inset highlights the contribution from the small-small particle collision. The results are similar for δ = 0.15.

Image of FIG. 7.
FIG. 7.

Particle trajectories during a time interval of τ l at δ = 0.2 and ϕ l = 0.784 for ϕ s = 0.01 ((a), (d)), ϕ s = 0.03 ((b), (e)) and ϕ s = 0.05 ((c), (f)). (a), (b), (c) are for large disks and (d), (e), (f)) for small disks, respectively.

Image of FIG. 8.
FIG. 8.

ϕ s evolution of the self-intermediate scattering functions of the large disks at δ = 0.2 for (a) ϕ l = 0.77 and (b) ϕ l = 0.784. Here, q p corresponds to the first peak of S l (q) for ϕ s = 0. The results are similar for δ = 0.15.

Image of FIG. 9.
FIG. 9.

ϕ s evolution of the self-intermediate scattering functions of the small diks at δ = 0.2 for (a) ϕ l = 0.77 and (b) ϕ l = 0.784. Here, q p corresponds to the first peak of S l (q) for ϕ s = 0. The green dashed lines highlight the logarithmic decay of . The results are similar for δ = 0.15.

Image of FIG. 10.
FIG. 10.

Main: ϕ s evolution of relaxation times at δ = 0.2 for (a) large and (b) small disks. Inset: effect of δ on relaxation times.

Image of FIG. 11.
FIG. 11.

ϕ s evolution of the mean squared displacements at ϕ l = 0.784 and δ = 0.2 for (a) large and (b) small disks.

Image of FIG. 12.
FIG. 12.

The mean squared displacements of large (dotted lines) and small (solid lines) disks at varying ϕ l and ϕ s = 0.06 for (a) δ = 0.2 and (b) δ = 0.15.

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/content/aip/journal/jcp/137/10/10.1063/1.4751546
2012-09-13
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Structure, compressibility factor, and dynamics of highly size-asymmetric binary hard-disk liquids
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/10/10.1063/1.4751546
10.1063/1.4751546
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