The name is absent



of the copolymer molecule are presented.

pα(r) = exp(/3/rM) exp[Do(r) - A3Vaerf(r)]7r jr)ʃa,ɑ(r), (5.10)

where μj∏(= ɪɪɪ Mi) ɪs the bulk chemical potential of the copolymer chain, and /ɪ ɑ
and T2,ɑ are multiple integrals solved using the following recurrence,

ʃɪ,ɑ(r) = ʃ ∕ι,a-ι(r3exp[^ι(rθ-∕3y^(r')]∆^-1^(r',r)dr',   (5.11)

ʃi,i(r)  =  1,                                                              (5.12)

and

Mr) = I Mι(rθexp[‰ι(rz)-^f1(rz)]∆^+1)(r,r')dr',  (5.13)

M(r) = 1∙                                                (5-14)

The equilibrium grand free energy is given by

m p
/MM = Σ / rfrMα(r)
Q=I

Da (r) +


2


(5.15)


where n(Γ,(α>) is the total number of association sites on segment a.

To calculate the segment density profiles numerically, the computational domain
is divided into equally spaced grid points along the dimension normal to the surface.
A grid spacing of 0.1σ is used for all our calculations. The density profiles are solved

122



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