Column Structure in Smectic Phase of Parallel Hard Cylinders

Abstract

We examine the affinity of layer formation and column formation of parallel cylinders by considering a pair distribution function. We introduce an approximation of the pair distribution function and compared it with the simulation results. The comparison indicated that the approximation is valid in the dilute limit and behaves as a good approximation up to a volume fraction of 0.2. The approximation and simulation indicates the affinity of the layer formation and column formation of parallel cylinders. Finally, we conclude the dynamical existence of column pairs in the layer structure of the smectic phase.