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.

10 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
• The freezing phase transition in hard core lattice gases on triangular lattice with exclusion up to seventh next-nearest neighbor
• Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?
• Three stable phases and thermodynamic anomaly in a binary mixture of hard particles
• Diffusion dynamics and steady states of systems of hard rods on the square lattice
• Thermodynamic behavior of binary mixtures of hard spheres: Semianalytical solutions on a Husimi lattice built with cubes
• Nematic and gas-liquid transitions for sticky rods on square and cubic lattices
• Phase diagrams for sticky rods in bulk and in a monolayer from a lattice free-energy functional for anisotropic particles with depletion attractions
• Phases of the hard-plate lattice gas on a three-dimensional cubic lattice
• Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases
• Interplay of orientational order and roughness in simulated thin film growth of anisotropically interacting particles