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Figure 4.2: (a) Self-assembly of lipid molecules. Lipid bilayer on the left and Micelle on
the right. The head groups face outside towards the solvent while the long tail groups hide
away from the solvent, (b) Schematic of the lipid and solvent molecule. A lipid molecule
has a head group with two bigger segments (gray) and two tail groups with eight smaller
segments (black) in each. The solvent molecule (white) is of the same size as the tail
segments.


solvent is included in the model as a single segment with σs = σt. The segment-
segment interactions are based on the Lennard-Jones (LJ) potential.

(4.39)


U(r) = U⅛,β(r) - u⅛(τc

where

⅛T) = 4⅛, [(⅛)12 „ (⅛)β] ,             (4.40)

and rc is the cut-off distance. If rc = 216σ the, interaction between segments a
and β is purely repulsive. The attractive interactions are included by taking a larger
cut-off,
rc = 3.5σ. The energy constants for all the segments (head, tail or solvent),

98



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