The fluctuation-induced interaction between two rod-like, rigid inclusions
in a fluid vesicle is studied by means of canonical ensemble Monte-Carlo si
mulations. The vesicle membrane is represented by a triangulated network of
hard spheres. Five rigidly connected hard spheres form rod-like inclusions
that can leap between sites of the triangular network. Their effective int
eraction potential is computed as a function of mutual distance and angle o
f the inclusions. On account of the hard-core potential among these, the na
ture of the potential is purely entropic. Special precaution is taken to re
duce lattice artifacts and the influence of finite-size effects due to the
spherical geometry. Our results show that the effective potential is attrac
tive and short-range compared with the roll length L. Its well depth is of
the order of kappa/10, where kappa is the bending modulus.