BFMC Simulation Results

Snap shots of attached chains

Change in end-to-end distance of doubly-attached chains

Extension of doubly-attached chains along z direction

Diffusion from melt to surface reduces upon formation of brushes

Snap shots of attached chains

Pictures shown below are bond-fluctuation Monte Carlo (BFMC) simulation results of end-functionalized polymer chains with chain length=10 in 48x48x80 box.

Periodic boundary condition is applied on X and Y directions. Along Z direction, i.e. at top and bottom of the box, are non-penetrable walls with reactive sites on each lattice point.

Reaction between end-groups and reactive sites is irreversible. Only attached chains are shown.

 
doubly-attached chain singly-attached chain reactive end-group

a) snap shot at the beginning of simulation

 

b) snap shot after 1x105 Monte Carlo steps

 

c) snap shot after 1x109 Monte Carlo steps

 

Change in end-to-end distance of doubly-attached chains

Squared end-to-end distance of doubly-attached chains, Rd2, normalized by mean squared end-to-end distance, <Rd2>, is investigated to be decreasing with attachment sequence index. The higher sequence index, the later this chain gets doubly-attached.

Extension of doubly-attached chains along z direction

By investigating highest z position of doubly-attached chain, they are found to be extending along z direction with attachment sequence index increasing.

 

Diffusion from melt to surface reduces upon formation of brushes

Comparing systems with and without reactive wall, we notice diffusion from center of the system to wall surface is significantly reduced.

In the plot below, dt refers to the time (in terms of Monte Carlo steps) for one chain to move from center of the system to wall surface.

 

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