Different phases of a system of hard rods on three dimensional cubic lattice

Abstract

We study the different phases of a system of monodispersed hard rods of length $k$ on a cubic lattice using an efficient cluster algorithm which can simulate densities close to the fully-packed limit. For $k\le 4$, the system is disordered at all densities. For $k=5,6$, we find a single density-driven transition from a disordered phase to high density layered-disordered phase in which the density of rods of one orientation is strongly suppressed, breaking the system into weakly coupled layers. Within a layer, the system is disordered. For $k\ge 7$, three density driven transitions are observed numerically: isotropic to nematic to layered-nematic to layered-disordered. In the layered-nematic phase, the system breaks up into layers, with nematic order in each in each layer, but very weak correlation between the ordering direction between different layers. We argue that the layered-nematic phase is a finite-size effect, and in the thermodynamic limit, the nematic phase will have higher entropy per site.

arXiv comment10 pages, 14 figs

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Cited by in corpus (16)

• The isotropic-nematic transition for hard rods on a three--dimensional (3D) cubic lattice
• Entropy of fully packed hard rigid rods on $d$-dimensional hyper-cubic lattices
• Phase transitions in a system of hard $Y$-shaped particles on the triangular lattice
• Phase diagram of a system of hard cubes on the cubic lattice
• The phase transition from nematic to high-density disordered phase in a system of hard rods on a lattice
• Husimi lattice solutions and the coherent-anomaly-method analysis for hard-square lattice gases
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• Three stable phases and thermodynamic anomaly in a binary mixture of hard particles
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• Phases of the hard-plate lattice gas on a three-dimensional cubic lattice
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