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Collective thermodiffusion of colloidal suspensions
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10.1063/1.4767398
/content/aip/journal/jcp/137/19/10.1063/1.4767398
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/19/10.1063/1.4767398

Figures

Image of FIG. 1.
FIG. 1.

(a) Soret coefficient for octadecyl coated silica particles in toluene as a function of the volume fraction ϕ for different values of the average temperature. Solid lines are a fit to Eq. (5) for low ϕ, and dashed lines a fit to Eq. (7) for high ϕ. (b) Values of the Soret coefficient at the limit of zero volume fraction, and the single particle contribution as a function of the temperature, obtained from the fit of the data to Eq. (5). (c) Temperature dependence contribution of S T at high ϕ values are obtained from a fit of the data to Eq. (7). (a) Reprinted with permission from J. Chem. Phys. 125, 204911 (2006). Copyright 2006 American Institute of Physics.

Image of FIG. 2.
FIG. 2.

Displaced Soret coefficient as a function ϕ, corresponding to the collective contribution. Lines correspond to those in Fig. 1. The arrow indicates increasing colloid-colloid attraction. (Inset) Difference between the “zero concentration extrapolated Soret coefficients” at low concentration in Eq. (6) and high concentration in Eq. (7).

Image of FIG. 3.
FIG. 3.

Profiles for concentrated colloids suspensions interacting with the LJ n = 6 potential. Crosses indicate the temperature profile with values in the right axis. The left axis quantifies the normalized relative density of colloids (down triangles), solvent particles (up triangles), and the normalized relative molar fraction of colloids (bullets). Lines correspond to the linear fits to determine the gradients of temperature and molar fraction. (a) ϕ c = 0.2 as example of a positive S T with colloids excess on the cold side. (b) ϕ c = 0.3 as example of a negative S T .

Image of FIG. 4.
FIG. 4.

Temperature gradient induced phase separation of colloids in liquid-gas coexistence regime below critical point with LJ 12-6, ε = 1.0, ϕ c = 0.1, and T 0 = 1.0. The volume fraction on the cold side of the system is ϕ c ≃ 0.37 corresponding to a liquid state. On the hot side, ϕ c ≃ 0.03 corresponding to a gas phase.

Image of FIG. 5.
FIG. 5.

Soret coefficient S T for different mean volume fractions ϕ c for colloids with rLJ potentials in Eq. (10) with n = 6 bullets, n = 12 up-triangles, and n = 24 down-triangles. The inset displays the employed potentials.

Image of FIG. 6.
FIG. 6.

Soret coefficients S T as a function of the volume fraction ϕ c for LJ potentials in Eq. (10) with n = 6 squares, n = 12 up-triangles. The inset displays the employed potentials.

Image of FIG. 7.
FIG. 7.

Soret coefficients S T as a function of the volume fraction ϕ c at various attraction ranges, squares r c = 1.2, up-triangles r c = 1.1, and bullets r c = 1.0365. Arrows indicate increasing attraction ranges. The attraction strength are (a) ε = 2.0, (b) ε = 1.0, and (c) ε = 0.5. The inset in (b) is an example of employed sticky potentials in Eq. (13).

Image of FIG. 8.
FIG. 8.

Soret coefficients S T as a function of the volume fraction ϕ c at various attraction ranges, squares ε = 2.0, up-triangles ε = 1.0, and bullets ε = 0.5. Arrows indicate increasing attraction strength. The attraction strength are (a) r c = 1.2, (b) r c = 1.1, and (c) r c = 1.0365. The inset in (b) is an example of employed sticky potentials in Eq. (13).

Image of FIG. 9.
FIG. 9.

Soret coefficient S T as a function of the volume fraction ϕ c . Symbols are simulation results with rLJ n = 6 as displayed in Fig. 5. Dashed line corresponds to Eq. (19) with β T, c in Eq. (20). Solid line includes the additional contribution .

Tables

Generic image for table
Table I.

Parameters employed for the sticky potentials in Eq. (13).

Generic image for table
Table II.

Values of the Soret coefficient for the MPC binary mixture at various concentrations, and for two potential interactions at very low concentrations.

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/content/aip/journal/jcp/137/19/10.1063/1.4767398
2012-11-21
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Collective thermodiffusion of colloidal suspensions
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/19/10.1063/1.4767398
10.1063/1.4767398
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