  In the field of liquid crystals, it is well-known that rod-like molecules
interacting via long-range attractive interactions or short-range repulsive
potentials can exhibit orientational order. In this work, we are interested in
what would happen to systems of rod-like particles interacting via long-range
repulsive potential. In our model, each particle consists of a number of point
dipoles uniformly distributed along the particle length, with all dipoles
pointing along the $z-$ axis, so that the rod-like particles repel each other
when they lie in the $x-y$ plane. Dipoles from different particles interact via
an $r^{-3}$potential, where $r$ is the distance between the dipoles. We have
considered two model systems, each with $N$ particles in a unit cell with
periodic boundary conditions. In the first, particle centers are fixed on a
square or triangular lattice but they are free to rotate. In the second,
particles are free to translate as well as in cells with variable shapes. Here
they self-assemble to form configurations where the stress tensors are
isotropic. Our numerical results show that at low temperatures the particles
tend to form stripes with alternating orientations, resembling herringbone
patterns or the anticlinic Sm-C$_{A}$ liquid crystal phase.
