Spatial and magnetic orderings in dipolar fluid film

A system of spherical particles with dipoles moving in a plane is studied by Monte-Carlo simulation. The particles interact with each other through the long-range dipole interaction an appropriate core repulsive potential. The anisotropy in the dipole interaction favors a chain-like structure of particles with the dipoles oriented along the chain. Growth of chain-like aggregates and the uniaxial (nematic) ordering of the system as well as the ordering of dipoles are investigated as functions of temperature. It is concluded that neither the dipolar ordering nor the uniaxial bond-orientational one can he long-ranged in a thermodynamical system.