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Effective interactions in the colloidal suspensions from hypernetted-chain theory
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10.1063/1.1979480
/content/aip/journal/jcp/123/12/10.1063/1.1979480
http://aip.metastore.ingenta.com/content/aip/journal/jcp/123/12/10.1063/1.1979480

Figures

Image of FIG. 1.
FIG. 1.

Ion-ion correlation functions , (solid lines), and (filled squares) with , , , and . Top inset: fit of (solid lines) by (filled circles); and bottom inset: fit of (solid lines) by (filled circles) .

Image of FIG. 2.
FIG. 2.

Ion-colloid correlation functions (solid line) and (dashed line) with , , , and . Top inset: fit of (solid lines) by (filled circles); and bottom inset: fit of (solid lines) by (filled circles) .

Image of FIG. 3.
FIG. 3.

At , PB and HNC estimates of vs for ionic charges , at : PB dotted line, HNC solid line and filled diamonds, : PB dashed line, HNC solid line and filled circles and : PB dash-dotted line, HNC solid line, and filled squares.

Image of FIG. 4.
FIG. 4.

At , PB and HNC estimates of vs at , ionic charges and : PB solid line and white circles, HNC solid line and filled circles, and , : PB solid line and white squares, and HNC solid line and filled squares.

Image of FIG. 5.
FIG. 5.

At , and ionic charges , , variation of the functions near : solid line and filled squares, solid line and filled diamonds, solid line and filled circles. Inset: for , (solid line and filled squares , diamonds , and circles ) and (dashed line and filled squares , diamonds , and circles ).

Image of FIG. 6.
FIG. 6.

At , , and ionic charges , , variation of the functions near : solid line and filled circles, solid line and filled squares, solid line and filled diamonds. Inset: for , (solid line and filled circles , squares , and diamonds ) and (dashed line and filled circles , squares , and diamonds ).

Image of FIG. 7.
FIG. 7.

At , and ionic charges , , variation of the functions near : dash-dotted line, dashed line, and solid line.

Image of FIG. 8.
FIG. 8.

At , PB and HNC estimates of vs for ionic concentrations , ionic charges , : solid line and white circles PB, solid line and filled circles HNC, and , : solid line and white squares PB, solid line and filled squares HNC.

Image of FIG. 9.
FIG. 9.

At , , , and : ion-colloid correlation functions and .

Image of FIG. 10.
FIG. 10.

At , , and colloid-colloid (solid line), ion-colloid (dashed line), and ion-ion (dash-dotted line) correlation functions, from the bottom to top , , and .

Image of FIG. 11.
FIG. 11.

At , , , and : colloid-colloid (solid line), ion-colloid (dashed line), and ion-ion (dash-dotted line) correlation functions. From the bottom to top: , , and , and, after an appropriated shift of and on equal to and [cf. Eq. (18)], for and close views showing the identity of the oscillation period of the three correlation functions [the maxima and minima of the oscillations of and can be truncated].

Image of FIG. 12.
FIG. 12.

At , , , , and , bottom: correlation functions (solid line), (dashed line), and (dash-dotted line), inset: close view for , and top: (solid line), (dashed line), and (dash-dotted line), and inset: close view for .

Image of FIG. 13.
FIG. 13.

At , , , , and , bottom: correlation functions (solid line), (dashed line), and (dash-dotted line), inset: close view for , and top: (solid line), (dashed line) and (dash-dotted line), and inset: close view for (the scale of axis precludes to identify the maxima and minima for ).

Image of FIG. 14.
FIG. 14.

At , , , , and , bottom: correlation functions (solid line), (dashed line), and (dash-dotted line), inset: close view for , and top: (solid line), (dashed line), and (dash-dotted line), and inset: close view for .

Image of FIG. 15.
FIG. 15.

At , , , and , bottom: correlation functions (solid line), (dashed line), and (dash-dotted line), middle: (solid line), (dashed line), and (dash-dotted line), top: for , close view showing the identity of the oscillation period of the six correlation functions, after an appropriate shift on (cf. Fig. 11) of the ion-ion (dashed line) and colloid-ion (solid line) correlation functions, (notice that the maxima and minima of the oscillations of , , and can be outside the limits of the figure).

Tables

Generic image for table
Table I.

Colloid-packing fraction: , density of the ion species with the highest valence: , ion charges: and , maximum colloid charge: , , and : inverse screening Debye length without and with the colloid charge contribution computed for . The last line corresponds to a binary ion-colloid mixture.

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/content/aip/journal/jcp/123/12/10.1063/1.1979480
2005-09-27
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effective interactions in the colloidal suspensions from hypernetted-chain theory
http://aip.metastore.ingenta.com/content/aip/journal/jcp/123/12/10.1063/1.1979480
10.1063/1.1979480
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