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Lattice cluster theory of associating polymers. IV. Phase behavior of telechelic polymer solutions
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10.1063/1.4714563
/content/aip/journal/jcp/136/19/10.1063/1.4714563
http://aip.metastore.ingenta.com/content/aip/journal/jcp/136/19/10.1063/1.4714563
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Spinodal curves for solutions of short linear telechelic chains (M = 5) as computed from the LCT for the indicated sticky interaction energies ε s . The same exchange van der Waals energy ε = 100 K is used in all calculations presented in Figs. 1–17.

Image of FIG. 2.
FIG. 2.

Spinodal curves for solutions of linear telechelic chains as computed from the LCT for various numbers M of united atom groups in a single chain. The sticky interaction energy ε s and the exchange van der Waals energy ε are specified in the figure.

Image of FIG. 3.
FIG. 3.

Spinodal curves for solutions of strongly interacting linear telechelic chains (ε s = −3000 K), as computed from the LCT for various lengths (masses) M of telechelic chains.

Image of FIG. 4.
FIG. 4.

Spinodal curves for solutions of strongly interacting linear telechelic chains (ε s = −3000 K) in the critical region, as computed from the LCT.

Image of FIG. 5.
FIG. 5.

Spinodal curves for solutions of weakly interacting linear telechelic chains (ε s = −600 K), as computed from the LCT for various chain lengths (masses) M, including the the critical length M c .

Image of FIG. 6.
FIG. 6.

The same as Fig. 5, but for solutions of linear telechelic chains interacting with a moderate sticky energy ε s = −1500 K.

Image of FIG. 7.
FIG. 7.

The same as Fig. 5, but for solutions of strongly interacting linear telechelic chains (ε s = −3000 K).

Image of FIG. 8.
FIG. 8.

The same as Fig. 5, but for solutions of very strongly interacting linear telechelic chains (ε s = −6000 K).

Image of FIG. 9.
FIG. 9.

The critical temperature T c for the phase stability of linear telechelic polymer solutions, as computed from the LCT as a function of the absolute sticky interaction energy |ε s | for different chain lengths M.

Image of FIG. 10.
FIG. 10.

The critical composition ϕ c for the phase stability of linear telechelic polymer solutions, as computed from the LCT as a function of the absolute sticky interaction energy |ε s | for different polymer chain lengths M.

Image of FIG. 11.
FIG. 11.

The critical temperature T c for the phase stability of linear telechelic polymer solutions, as computed from the LCT as a function of the polymer length M for different sticky interaction energies ε s . Crosses indicate the critical value M c s ) above which T c begins to increase with M.

Image of FIG. 12.
FIG. 12.

The specific Helmholtz free energy βf for solutions of weakly interacting linear telechelic polymers (ε s = −300 K), as computed from the LCT as a function of the chain length M for fixed temperature T = 300 K and solution composition ϕ = 0.1. Variations of the individual components of βf from Eq. (12) are also displayed in the figure for comparison.

Image of FIG. 13.
FIG. 13.

The same as Fig. 12, but for solutions of strongly interacting linear telechelic polymers (ε s = −3000 K).

Image of FIG. 14.
FIG. 14.

The specific entropy s/k B for solutions of linear telechelic polymers, as computed from the LCT as a function of the polymer index M for fixed temperature T = 300 K and solution composition ϕ = 0.1. Solid and dashed curves refer to solutions of weakly (ε s = −300 K) and strongly (ε s = −3000 K) interacting linear telechelic polymers, respectively.

Image of FIG. 15.
FIG. 15.

The second derivatives of the specific free energies and f s (with respect to the polymer volume fraction ϕ) for solutions of linear telechelic chains, as computed from the LCT as functions of the chain index M for fixed temperature T = 300 K and ϕ = 0.1.

Image of FIG. 16.
FIG. 16.

The second derivatives of the athermal limit (a) and non-athermal (b′ = b/T) portions of the non-combinatorial free energy (with respect to the polymer volume fraction ϕ) for solutions of linear telechelic polymers, as computed from the LCT as functions of the chain length M for ϕ = 0.1.

Image of FIG. 17.
FIG. 17.

The spinodal temperature T sp for the phase stability of solutions of linear telechelic polymers, as computed from Eq. (18) as a function of the chain index M for a fixed solution composition ϕ = 0.1 and various sticky interaction energies ε s .

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2012-05-15
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Lattice cluster theory of associating polymers. IV. Phase behavior of telechelic polymer solutions
http://aip.metastore.ingenta.com/content/aip/journal/jcp/136/19/10.1063/1.4714563
10.1063/1.4714563
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