4.1 Schematic of the formation of a linear chain of m segments from m
associating spheres............... 92
4.2 Schematic of the self-assembly of lipid molecules and the model lipid
and solvent moelcules........................ 98
4.3 Segment density profiles of the lipid molecules near repulsive∕attractive
surfaces............. 99
4.4 Segment density profiles of the lipid and solvent molecules near repul-
sive∕attractive surfaces........................... 101
4.5 Modified iSAFT prediction of the lipid bilayer structure........ 102
4.6 Segment density profiles of copolymer molecules ‘AAAABBBB’ and
‘ABBBBA’ in selective slit pores..................... 105
4.7 Segment density profiles of copolymer molecules ‘BBBBAABBBB’ and
‘25A25B’ in selective slit pores...................... 106
5.1 Lamellar structure of bulk symmetric diblock copolymer melts..... 124
5.2 Grand free energy of the self-assembling copolymer molecules.....126
5.3 Equilibrium density profile and grand free energy of diblock copolymers
with different incompatibilities between the two blocks......... 127
5.4 Equilibrium density profile and grand free energy of diblock copolymers
with different number of segments.................... 128
5.5 Symmetric segment density profiles of the confined diblock copolymer
at ew∕kT = 0.1............................... 130
5.6 Excess surface free energy of the symmetric phases of diblock copoly-
mer at ew∕kT = 0.1............................ 132
5.7 Anti-symmetric segment density profiles of the confined diblock copoly-
mer at ew∕kT = 0.1....................... 133
5.8 Excess surface free energy of the symmetric and anti-symmetric phases
of diblock copolymer at ew∕kT = 0.1............. 135
5.9 Symmetric segment density profiles of the confined diblock copolymer
at ew∕kT = 0.3............................... 137
5.10 Excess surface free energy of the symmetric phases of diblock copoly-
mer at ew∕kT = 0.3............................ 138
5.11 Anti-symmetric segment density profiles of the confined diblock copoly-
mer at ew∕kT = 0.3............................ 139
5.12 Excess surface free energy of the symmetric and anti-symmetric phases
of diblock copolymer at ew∕kT — 0.3................... 140
6.1 Segment density profiles of hard chains tethered to a hard surface. . . 157
6.2 Segment density profiles as a function of z∕Ng and average brush
heights of hard chains tethered to a hard surface............ 158
6.3 Segment density profiles and average brush heights of attractive chains
tethered to a hard surface at different reduced temperatures...... 159
ix
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