Abstract

The finite-size effects and packing constraints on the density profile of a hard-rod fluid in both open (grand canonical) and closed (canonical) walls have been investigated. For a finite system, the grand canonical density profile shows very different density behavior compared with the canonical density profile. At low packings, the convergence of series is shown to converge very quickly, even if only a few particles are confined in hard walls. However, the significant differences at high packings arise between the canonical and the grand canonical density profiles. The convergence is much slower in the region where the peak develops.

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