  Arguments are presented to the effect that embedding semi-flexible (wormlike)
ideal polymers into a fluctuating, flexible surface leads to an effective
attractive orientational interaction between polymer segments that precipitates
an orientational ordering transition of the polymer chains on the surface even
in the case of otherwise ideal (non-interacting) chains. The orientational
interaction is analogous to the (zero order) Casimir force and is due to the
energy change in surface conformational fluctuations in the presence of
embedded semi-flexible chains.
