Abstract
We have considered a classical system, consisting of cylindrically symmetric particles, associated with a three-dimensional simple cubic lattice, and interacting via the nearest neighbor pair potential [Formula: see text] here P2 is the second-order Legendre polynomial, ∈ is a positive constant setting the temperature and energy scales, and uk denote the unit vectors defining particle orientations. This potential model was proposed a few years ago [G. Kohring and R.E. Shrock, Nucl. Phys. B295, 36 (1988)] as a system involving ground-state disorder but no frustration, and was found to possess a continuous ordering transition at [Formula: see text]. We report here a more detailed study, using Monte Carlo simulation, molecular field, and two-site cluster treatments, and especially address the structural properties. Comparison shows that the two-site cluster approximation yields results in fair agreement with simulation, and produces a significant improvement over molecular field theory.
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