Log–log plot of
the average fraction θ of occupied
surface lattice sites, as a function of surface binding parameter
γ for systems with ϕpol° = 0.025. Numerical SCFT results
(shaded points connected by dotted fit lines) are shown for the terminal
linker (a), central linker (b), and uniform linker (c) architectures.
In parts a and b, Nl =
1 (circles), 5 (squares), 20 (triangles), and 100 (open circles);
in part c, Nl = 2 (circles),
5 (squares), 21 (triangles), and 100 (open circles). Profiles of monomeric
linkers, with reservoir concentrations of Nlϕpol/Nt, are computed analytically via the mathematical
result from Appendix B. In order of ascending Nl in each image, monomer profiles
are plotted as short-dashed, medium-dashed, long-dashed, and solid
lines.