VIRIAL-COEFFICIENTS FOR HARD DISKS AND HARD-SPHERES

被引：112
|
作者：
VANRENSBURG, EJJ
机构：
[1] Dept. of Math. and Stat., York Univ., North York, Ont.
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 19期
关键词：
D O I：
10.1088/0305-4470/26/19/014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The sixth, seventh and eighth virial coefficients of hard discs and hard spheres are evaluated numerically (Monte Carlo integration). I improve on the best previous estimates for the seventh virial coefficients, and the integration of the eighth virial coefficient is new. The best estimates for these coefficients for hard discs are B-7/b6 = 0.1 1486(7) and B-8/b7 = 0.065 14(8); and for hard spheres B-7/b6 = 0.01307(7) and B-8/b7 = 0.00432(10). b is the second virial coefficient in each case. Pade approximations to the excess pressure and the excess free energy are computed from these results and compared to data otherwise obtained.
引用
收藏
页码：4805 / 4818
页数：14
相关论文
共 50 条
  • [1] VIRIAL-COEFFICIENTS AND CLOSE-PACKING OF HARD-SPHERES AND DISKS
    SANCHEZ, IC
    JOURNAL OF CHEMICAL PHYSICS, 1994, 101 (08): : 7003 - 7006
  • [2] DIVERGENCE OF THE VIRIAL SERIES FOR HARD DISKS AND HARD-SPHERES AT CLOSEST PACKING
    BARAM, A
    LUBAN, M
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (17): : L659 - L664
  • [3] ADSORPTION-KINETICS OF HARD DISKS FROM VIRIAL-COEFFICIENTS
    POLAND, D
    PHYSICAL REVIEW E, 1995, 51 (02): : 873 - 883
  • [4] EQUATIONS OF STATE OF SYSTEMS OF HARD DISKS AND HARD-SPHERES
    BAZAROV, IP
    NIKOLAEV, PN
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 3 FIZIKA ASTRONOMIYA, 1984, 25 (02): : 95 - 96
  • [5] On the relation between virial coefficients and the close-packing of hard disks and hard spheres
    Maestre, Miguel Angel G.
    Santos, Andres
    Robles, Miguel
    Lopez de Haro, Mariano
    JOURNAL OF CHEMICAL PHYSICS, 2011, 134 (08):
  • [6] Voronoi neighbor statistics of hard-disks and hard-spheres
    Kumar, VS
    Kumaran, V
    JOURNAL OF CHEMICAL PHYSICS, 2005, 123 (07):
  • [7] 5TH + 6TH VIRIAL COEFFICIENTS FOR HARD SPHERES + HARD DISKS
    REE, FH
    HOOVER, WG
    JOURNAL OF CHEMICAL PHYSICS, 1964, 40 (04): : 939 - &
  • [8] Virial coefficients of hard spheres and hard disks up to the ninth -: art. no. 021105
    Labík, S
    Kolafa, J
    Malijevsky, A
    PHYSICAL REVIEW E, 2005, 71 (02):
  • [9] On extrapolation of virial coefficients of hard spheres
    Oncak, M.
    Malijevsky, A.
    Kolafa, J.
    Labik, S.
    CONDENSED MATTER PHYSICS, 2012, 15 (02)
  • [10] VIRIAL-COEFFICIENTS FOR THE HARD OBLATE SPHEROCYLINDER FLUID
    COONEY, WR
    THOMPSON, SM
    GUBBINS, KE
    MOLECULAR PHYSICS, 1989, 66 (06) : 1269 - 1272
12345