Striped substrates

If the external potential is noneonstant aeross the. t-j/ plane but varies periodically along the x-axis, say. as the one describing the chemically striped substrate surfaces depicted in Fig. 5.7, the symmetry of the fluid is reduced even further. This causes the equation of state to depend on even more parameters as in the previously discvvssed case. This can be realized from Eqs. (1.66) and (168), which permit us to derive yet another Gibbs-Duhem cqiiation, namely... 

For the chemically striped substrate, the external field representing the composite solid material can be cast as... 

In Fig. 26 we compare the growth patterns for our striped substrate with the corresponding isotropic (non patterned) substrate. It can be seen clearly that both morphologies are quite different. While on the non-patterned sub-... 

The morphology of block copolymers on patterned substrates has attracted recent experimental (86,87) and theoretical (88-90) attention. It has been shown that block copolymer stripes are commensurate with striped substrates if the mismatch in the two length scales is not too large. 

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