The freezing phase transition in hard core lattice gases on triangular lattice with exclusion up to seventh next-nearest neighbor

Abstract

Hard core lattice gas models are minimal models to study entropy driven phase transitions. In the $k$-NN lattice gas, a particle excludes all sites upto the $k$-th next-nearest neighbors from being occupied by another particle. As $k$ increases from one, it extrapolates from nearest neighbor exclusion to the hard sphere gas. In this paper, we study the model on the triangular lattice for $k\le 7$ using a flat histogram algorithm that includes cluster moves. Earlier studies had focused on $k\le 3$. We show that for $4\le k\le 7$, the system undergoes a single phase transition from a low-density fluid phase to a high-density sublattice-ordered phase. Using partition function zeros and non-convexity properties of the entropy, we show that the transitions are discontinuous. The critical chemical potential, coexistence densities, and critical pressure are determined accurately.

14 pages and 20 figures in main paper. 5 pages and 4 figures in supplemental material

References in corpus (13)

• 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
• Monte Carlo simulations of 2d hard core lattice gases
• On the accuracy of first-principles lateral interactions: Oxygen at Pd(100)
• Extracting the equation of state of lattice gases from Random Sequential Adsorption simulations by means of the Gibbs adsorption isotherm
• A Monte Carlo study of the triangular lattice gas with the first- and the second-neighbor exclusions
• Phase diagram of a system of hard cubes on the cubic lattice
• Phase transitions in systems of hard rectangles with non-integer aspect ratio
• Husimi lattice solutions and the coherent-anomaly-method analysis for hard-square lattice gases
• Three stable phases and thermodynamic anomaly in a binary mixture of hard particles
• Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?
• Fluid-fluid demixing and density anomaly in a ternary mixture of hard spheres
• Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases
• Condensation and crystal nucleation in a lattice gas with a realistic phase diagram