  Lattice Monte-Carlo simulations were performed to study the equilibrium
ordering in a two-dimensional nematic system with quenched random disorder.
When the disordering field, which competes against the aligning effect of the
Frank elasticity, is sufficiently strong, the long-range correlation of the
director orientation is found to decay as a simple exponential, Exp[-r/x]. The
correlation length {x} itself also decays exponentially with increasing
strength of the disordering field. This result represents a new type of
behavior, distinct from the Gaussian and power-law decays predicted by some
theories.
