6.4 Average brush heights of attractive chains tethered to a hard surface
at different reduced temperatures..................... 160
6.5 Segment density profiles of hard chains tethered to a hard surface in
the presence of free polymer solvents................... 162
6.6 Segment density profiles of the two grafted monolayers in absence of
free polymer solvent............................ 164
6.7 Total segment density profile and the interaction force between two
grafted monolayers in the absence of free polymer............ 165
6.8 Interaction force between two grafted monolayers in the absence of free
polymer at different grafting densities and chain lengths........ 166
6.9 Scaled interaction force between two grafted monolayers in the absence
of free polymer............................... 167
6.10 Segment density profiles of the grafted monolayers in the presence of
free polymer................................ 169
6.11 Interaction force between two grafted monolayers in the presence of
free polymer at different free polymer densities............. 170
6.12 Interaction force between two grafted monolayers in the presence of
free polymer at different free polymer chain lengths........... 171
6.13 Locus of the critical values of a (= Ny∕Ns) at different grafted polymer
chain lengths and free polymer densities................. 172
6.14 Locus of the critical values of a (= N∕∕Ns) at different relative segment
sizes of the grafted and free polymers................... 173
7.1 Model of a branched chain molecule................... 184
7.2 Illustration of the calculations of the ʃɪ and L2 functions of the segments
of the branched chain molecule...................... 191
7.3 Schematic of a star polymer molecule and illustration of the calcula-
tions of the I1 and I2 functions of its arm segments........... 197
7.4 Total segment density profiles of confined 3-arm and 4-arm star poly-
mer fluids................................. 199
7.5 Individual segment density profiles of confined 4-arm star polymer fluid. 200
7.6 Comparison of the total segment density profiles of confined linear,
3-arm star, and 4-arm star polymer fluids................ 201
7.7 Comparison of the average end- and mid-segments density profiles of
confined linear, 3-arm star, and 4-arm star polymer fluids.......203
7.8 Compressibility factors of the bulk 3-arm and 4-arm star polymer fluids.204
8.1 Schematic of the discrete and continuous Gaussian (ideal) chain model. 209