2012/02/29 by Hiroshi Watanabe, Nobuyasu Ito, Chin-Kun Hu +1 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Critical point (mathematics) #Exponent #Geometry #Ising model #Liquid gas #Material Dynamics and Properties #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Reduced properties #Statistical physics #Stochastic processes and statistical mechanics #Surface tension #Theoretical and Computational Physics #Thermodynamics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.4720089
published as J. Chem. Phys. 136, 204102 (2012) · 8 pages, 8 figures, new results are added
arxiv created 2012/04/16 · openalex publication_date 2012/05/23 · arxiv updated 2013/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The gas-liquid phase transition of the three-dimensional Lennard-Jones particles system is studied by molecular dynamics simulations. The gas and liquid densities in the coexisting state are determined with high accuracy. The critical point is determined by the block density analysis of the Binder parameter with the aid of the law of rectilinear diameter. From the critical behavior of the gas-liquid coexisting density, the critical exponent of the order parameter is estimated to be β = 0.3285(7). Surface tension is estimated from interface broadening behavior due to capillary waves. From the critical behavior of the surface tension, the critical exponent of the correlation length is estimated to be ν = 0.63(4). The obtained values of β and ν are consistent with those of the Ising universality class.