Does rotational melting make molecular surfaces more slippery?

Crystals made up of spherical, weakly interacting molecules generally exhibit a phase transition between a low temperature ordered phase and a plastic phase, where the rotational order is thermally lost. In C$_{60}$ fullerene, the transition takes place at T$_r$=260K in bulk, initiating at a lower temperature at a (111)surface. We explore by MD simulations whether a slider should experience a change of friction on that surface in correspondence with the phase transition. Modeling the slider as a C$_{60}$ flake attached to a sliding tip, we obtain a response dependent on the orientation and the angular compliance of the flake. An orientation angle commensurate with the C$_{60}$ surface yields a large adhesion and friction, both dropping by only about 20\% at the plastic transition. An incommensurate angle yields both adhesion and friction a factor 2 smaller and relatively unaffected by the transition. Finally, a sliding flake with an incommensurate angle but a compliant orientation offers the possibility of a very different sliding behavior, remaining incommensurate with very low adhesion/friction above T$_r$, but jumping to a commensurate angle with high adhesion/friction below T$_r$. This third possibility might have been realized in the AFM experiment by Liang et al.(PRL 2003).