The name is absent

critical values of a still follow the scaling relation, p_g∖∕~N _g oc 0Γ² with different pro-
portionality constant. We have shown that this proportionality constant depends on
/?³, and that the critical values of a or the boundary between the purely repulsive
and attractive domains for different β scale as, p_s√QV_s∕3³ oc a~².

Appendix: Derivation of the force of interaction between
the two polymer grafted hard walls

The grand free energy is given as

Ω[p(r}] = A[p(r)] - 52 / Pα(^rK(^r)dr,               (6.30)

a *'

where u_a(r) = μ_a- V^^art(r), and a = {1,..., N_g, 1,..., Ng, 1,..., Nf}. Here the first set
in a or {1,..., N_g } corresponds to the segments in the chains grafted to the surface
at z = 0, the second set {1,..., N_g} corresponds to the segments in the chains grafted
to the surface at z = H, and the third set {1,..., Nf} corresponds to the segments in
the free polymer chains. In this work, N_g — N_g = N_g.

In a density functional formalism,
and

⁼ ~^pa^' ⁽⁶’³²⁾

Force of interaction between the surfaces is given by the functional derivative of

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