1967/11/15 by L. K. Runnels, Leon L. Combs, James P. Salvant · 41 citations
Physics and Astronomy · Engineering · Mathematics · #Advanced Chemical Physics Studies #Phase Equilibria and Thermodynamics #Theoretical and Computational Physics #Lattice (music) #Compressibility #k-nearest neighbors algorithm #Circumference #Phase transition #Square lattice #Condensed matter physics #Physics #Thermodynamics #Mathematics #Statistical physics #Materials science #Geometry
paper · pdf · doi:10.1063/1.1701569
published in The Journal of Chemical Physics 47(10), 4015-4020 (American Institute of Physics)
openalex publication_date 1967/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26
Thermodynamic properties have been obtained using the matrix method for a two-dimensional honeycomb-lattice gas of hard molecules which prevent simultaneous occupancy of nearest-neighbor sites. Exact results have been obtained for cylinders of infinite length and finite circumference from 6 to 18 sites. Uniform trends with increasing circumference lend confidence to extrapolations used to infer the behavior of systems of infinite width. We find a great similarity with the corresponding square-lattice gas and a second-order phase transition at activity z=7.92±0.08, reduced pressure p/kT=1.12±0.05, and relative density ρ/ρ0=0.845±0.02. The compressibility appears to be infinite at the transition.