1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Spatially dependent relative diffusion of nanoparticles in polymer melts
Rent:
Rent this article for
USD
10.1063/1.4817593
/content/aip/journal/jcp/139/6/10.1063/1.4817593
http://aip.metastore.ingenta.com/content/aip/journal/jcp/139/6/10.1063/1.4817593
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Theoretical prediction for the Stokes-Einstein violation ratio as given by Eq. (10) using the structural continuum model with = 0.25. The main frame shows results for / = 1 (solid line), 2 (dashed line), 4 (short-dashed line), 16 (short-dotted line), and 128 (dashed-dotted line). (Inset) Stokes-Einstein violation ratio as a function of / for (from top to bottom): 2/ = 1 (solid line), 2 (dashed line), 8 (short-dashed line), 32 (short-dotted line), and 256 (dashed-dotted line).

Image of FIG. 2.
FIG. 2.

Illustration of the studied two-particle system and schematic of the force correlation pathway that enters the dynamical vertex in Eq. (15) . Particle diameter (2) and interparticle surface-to-surface separation () are defined by arrows.

Image of FIG. 3.
FIG. 3.

Relative diffusivity normalized by the single-particle Stokes-Einstein self-diffusion coefficient as a function of /2 based on the structural continuum model. Calculations are presented for 2/ = 10 and entangled melts with / = 1 (dashed line), 4 (short-dashed line), 16 (short-dotted line), and 128 (dashed-dotted line). The hydrodynamic result (solid curve) is also shown as a reference. (Inset) Same as main frame for larger particle size (2/ = 40).

Image of FIG. 4.
FIG. 4.

Normalized non-hydrodynamic cross-diffusivity as a function of /2. Calculations are shown for one particle size (2/ = 10), the structural continuum model, and / = 1 (dashed line), 4 (short-dashed line), 16 (short-dotted line), and 128 (dashed-dotted line). Solid curve is the hydrodynamic result. (Inset) Non-hydrodynamic cross-diffusivity normalized by Δ ≡ Δ (/2 = 1/8) for / = 128 and 2/ = 10 (solid line), 40 (dashed line), 200 (short-dashed line), and 400 (short-dotted line). A horizontal line of 1/ is shown as a guide.

Image of FIG. 5.
FIG. 5.

Reduced relative diffusivity as defined in Eq. (30) as a function of / based on the structural continuum model. Results for 2/ = 10 and / = 1 (dashed line), 4 (short-dashed line), 16 (short-dotted line), and 128 (dashed-dotted line) are displayed along with the hydrodynamic result (solid). (Inset) Same as main frame for 2/ = 40.

Image of FIG. 6.
FIG. 6.

Ratio of the reduced relative diffusivity and its hydrodynamic counterpart as a function of / for selected values of (from top to bottom): / = 0.25 (solid line), 1 (dashed line), 4 (short-dashed line), 16 (short-dotted line), and 128 (dashed-dotted line). All calculations employ 2/ = 10, / = 16, and the structural continuum model.

Image of FIG. 7.
FIG. 7.

Re-plot of Fig. 6 as a function of / for entangled melts where (from top to bottom): / = 1 (solid line), 4 (dashed line), 16 (short-dashed line), and 128 (short-dotted line). (Inset) Ratio of the reduced diffusivity with / = 128 and (from bottom to top) 2/ = 4 (solid line), 10 (dashed line), 40 (short-dashed line), 200 (short-dotted line), and 400 (dashed-dotted line).

Image of FIG. 8.
FIG. 8.

Reduced relative diffusivity as a function of / calculated with PRISM theory structural input at ε/ = 0 (dashed line), 2 (short-dashed line), and 4 (short-dotted line). The structural continuum model result (solid line) is shown for comparison. Entanglement parameters are fixed to / = 16 and /σ = 4 while particle sizes are: 2/σ = 10 (main frame) and 12 (inset).

Loading

Article metrics loading...

/content/aip/journal/jcp/139/6/10.1063/1.4817593
2013-08-14
2014-04-17
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Spatially dependent relative diffusion of nanoparticles in polymer melts
http://aip.metastore.ingenta.com/content/aip/journal/jcp/139/6/10.1063/1.4817593
10.1063/1.4817593
SEARCH_EXPAND_ITEM