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.
Decomposition driven interface evolution for layers of binary mixtures. I. Model derivation and stratified base states
Rent:
Rent this article for
USD
10.1063/1.2824404
/content/aip/journal/pof2/19/12/10.1063/1.2824404
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/12/10.1063/1.2824404
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Branches of steady vertical concentration profiles for energetically nonbiased (neutral) surfaces and a critical mixture is dependent on the film thickness . Shown are (a) the -norm and (b) the energy . Dashed line: trivial homogeneous solution. Selected corresponding profiles are given in Fig. 2. , and the symbols are explained in the main text.

Image of FIG. 2.
FIG. 2.

(Color online) Selected concentration profiles corresponding to Fig. 1. Note that each of the solutions has a “twin” obtained by that also corresponds to an allowed profile. This degeneracy may be lifted by energetically biased surfaces (depending on the symmetry , see below). The profiles corresponding to the energy minimum for the respective film thickness are shown as heavy (red online) lines.

Image of FIG. 3.
FIG. 3.

(Color online) Branches of steady vertical concentration profiles for linearly symmetrically biased surfaces (, ) of a critical mixture dependent of bias for film thicknesses as given in the legend. Shown are (a) the -norm and (b) the energy . Selected corresponding profiles are given in Fig. 5. The branch numbers for the different film thicknesses are given using different fonts: bold, italic, normal. Lines and labels are of corresponding colors (online). , and the symbols are explained in the main text.

Image of FIG. 4.
FIG. 4.

(Color online) Branches of steady vertical concentration profiles dependent of film thicknesses for linearly symmetrically biased surfaces (, ) and a critical mixture . Shown are (a) the -norm and (b) the energy . Selected corresponding profiles are given in Fig. 5. , and the symbols are explained in the main text.

Image of FIG. 5.
FIG. 5.

(Color online) Selected concentration profiles corresponding to Figs. 3 and 4 for (a) and (b) sorted by branch number as indicated in Fig. 4. Film thicknesses are indicated in the legends. The profiles corresponding to the energy minimum for the respective film thickness and bias are shown as heavy (red online) lines. The minuscule b in the panel for denotes the profile on the side branch of the branch (cf. Fig. 3).

Image of FIG. 6.
FIG. 6.

(Color online) Branches of steady vertical concentration profiles for linearly antisymmetrically biased surfaces (, ) and a critical mixture dependent of bias for film thicknesses as given in the legend. Shown are (a) the -norm and (b) the energy . Selected corresponding profiles are given in Fig. 7. . The branch numbers for the different film thicknesses are given in different fonts: bold, italic, normal. Lines and labels are of corresponding colors online.

Image of FIG. 7.
FIG. 7.

(Color online) Selected concentration profiles corresponding to Fig. 6 for sorted by branch number as indicated in Fig. 6. Film thicknesses are indicated in the legend. The profiles corresponding to the energy minimum for the respective film thickness and bias are shown as heavy (red online) lines.

Image of FIG. 8.
FIG. 8.

Branches of steady vertical concentration profiles for linearly antisymmetrically biased surfaces (, ) and a critical mixture dependent of film thickness. Shown are (a) the -norm and (b) the energy . Selected corresponding profiles are given in Fig. 7. .

Image of FIG. 9.
FIG. 9.

(Color online) Branches of steady vertical concentration profiles for linearly asymmetrically biased surfaces (, ) and a critical mixture dependent of bias for film thicknesses as given in the legend. Shown are (a) the -norm and (b) the energy . . The branch numbers for the different film thicknesses are given in different fonts: bold, italic, normal. Lines and labels are of corresponding colors online.

Image of FIG. 10.
FIG. 10.

Branches of steady vertical concentration profiles for linearly asymmetrically biased surfaces (, , ) and a critical mixture dependent of film thicknesses. Shown are (a) the -norm and (b) the energy . .

Image of FIG. 11.
FIG. 11.

Branches of steady vertical concentration profiles for nonbiased surfaces and off-critical mixtures dependent of film thickness . Shown are (a) the -norm and (b) the energy . .

Image of FIG. 12.
FIG. 12.

(Color online) Branches of steady vertical concentration profiles for linearly symmetrically biased surfaces (, ) and an off-critical mixture dependent of bias for film thicknesses as given in the legend. Shown are (a) the -norm and (b) the energy . . The branch numbers for the different film thicknesses are given in different fonts: italic, normal. Lines and labels are of corresponding colors online.

Image of FIG. 13.
FIG. 13.

(Color online) Branches of steady vertical concentration profiles for linearly antisymmetrically biased surfaces (, ) and an off-critical mixture dependent of bias for film thicknesses as given in the legend. Shown are (a) the -norm and (b) the energy . . The branch numbers for the different film thicknesses are given in different fonts: italic, normal. Lines and labels are of corresponding colors online.

Image of FIG. 14.
FIG. 14.

(Color online) Branches of steady vertical concentration profiles for linearly asymmetrically biased surfaces (, , ) and an off-critical mixture dependent of bias for film thicknesses as given in the legend. Shown are (a) the -norm and (b) the energy . . The branch numbers for the different film thicknesses are given in different fonts: italic, normal. Lines and labels are of corresponding colors online.

Loading

Article metrics loading...

/content/aip/journal/pof2/19/12/10.1063/1.2824404
2007-12-26
2014-04-23
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Decomposition driven interface evolution for layers of binary mixtures. I. Model derivation and stratified base states
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/12/10.1063/1.2824404
10.1063/1.2824404
SEARCH_EXPAND_ITEM