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Demixing in athermal mixtures of colloids and excluded-volume polymers from density functional theory
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10.1063/1.1844331
/content/aip/journal/jcp/122/6/10.1063/1.1844331
http://aip.metastore.ingenta.com/content/aip/journal/jcp/122/6/10.1063/1.1844331
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The binodals (solid lines), the spinodals (dashed lines), and the critical points (black dots) for the demixing transition in colloid-excluded volume polymer mixtures resulting from the TPT1 theory. The phase diagrams are evaluated for the constant ratio of colloid diameter to polymer segment diameter and for , 100, 120, 200, and 500 from top to bottom, respectively. The dotted line marks the line of critical points of the demixing transition for different chain lengths.

Image of FIG. 2.
FIG. 2.

Colloid density profiles across the liquid-liquid interface calculated for the system with and . The profiles are evaluated for the reduced pressures (a), 6 (b), 4 (c), and 3.58 (d). The inset shows an enlargement of the profile.

Image of FIG. 3.
FIG. 3.

Average polymer segment density profiles across the liquid-liquid interface calculated for the system with and . The profiles are evaluated for the reduced pressures (a), 6 (b), 4 (c), and 3.58 (d).

Image of FIG. 4.
FIG. 4.

The reduced surface tension plotted against the difference in the colloid packing fractions in the coexisting liquid (colloid-rich, ) and vapor (colloid-poor, ) phases, . The chain lengths are given in the figure.

Image of FIG. 5.
FIG. 5.

Critical behavior of the reduced surface tension of colloids with and excluded-volume polymers with . The open circles denote the DFT results whereas the solid lines have slopes corresponding to the classical (mean-field) critical exponents. (a) The logarithm of the reduced surface tension plotted against the logarithm of the difference in the colloid packing fractions in the coexisting liquid (colloid-rich, ) and vapor (colloid-poor, ) phases. (b) The logarithm of the reduced surface tension plotted as a function of the logarithm of the relative distance to the critical point in terms of the pressure difference .

Image of FIG. 6.
FIG. 6.

The interfacial width as a function of the relative distance to the critical point expressed in terms of the pressure difference . The main plot shows the interfacial width calculated for (solid line), 200 (dashed line), and 500 (dot-dashed line). The inset shows a double-logarithmic plot of the same quantities evaluated for . The open circles denote the DFT results whereas the solid lines have slopes corresponding to the classical (mean-field) critical exponents.

Image of FIG. 7.
FIG. 7.

Middle (the solid lines) and end (the dashed lines) segment density profiles across the liquid-liquid interface calculated for the system with and . The profiles are evaluated for the reduced pressures (system ), 4.5 (system ), and 3.58 (system ).

Image of FIG. 8.
FIG. 8.

The interfacial width of the segment density profile as a function of the relative distance to the critical point expressed in terms of the pressure difference . The solid and dotted lines denote the interfacial width of the mid-segment and end-segment density profile for whereas the dashed and dot-dashed lines denote the interfacial width of the mid-segment and end-segment density profile for .

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/content/aip/journal/jcp/122/6/10.1063/1.1844331
2005-01-25
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Demixing in athermal mixtures of colloids and excluded-volume polymers from density functional theory
http://aip.metastore.ingenta.com/content/aip/journal/jcp/122/6/10.1063/1.1844331
10.1063/1.1844331
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