Equation of state of a seven-dimensional hard-sphere fluid. Percus-Yevick theory and molecular-dynamics simulations

被引:31
作者
Robles, M [1 ]
de Haro, ML
Santos, A
机构
[1] Univ Nacl Autonoma Mexico, Ctr Invest Energia, Temixco 62580, Morelos, Mexico
[2] Univ Extremadura, Dept Fis, E-06071 Badajoz, Spain
关键词
D O I
10.1063/1.1701840
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Following the work of Leutheusser [Physica A 127, 667 (1984)], the solution to the Percus-Yevick equation for a seven-dimensional hard-sphere fluid is explicitly found. This allows the derivation of the equation of state for the fluid taking both the virial and the compressibility routes. An analysis of the virial coefficients and the determination of the radius of convergence of the virial series are carried out. Molecular-dynamics simulations of the same system are also performed and a comparison between the simulation results for the compressibility factor and theoretical expressions for the same quantity is presented. (C) 2004 American Institute of Physics.
引用
收藏
页码:9113 / 9122
页数:10
相关论文
共 43 条
[1]  
Allen M. P., 2009, Computer Simulation of Liquids
[2]   EQUATIONS OF STATE FOR 4-DIMENSIONAL AND 5-DIMENSIONAL HARD HYPERSPHERE FLUIDS [J].
AMOROS, J ;
SOLANA, JR ;
VILLAR, E .
PHYSICS AND CHEMISTRY OF LIQUIDS, 1989, 19 (02) :119-124
[3]   THERMODYNAMICS AND STRUCTURE OF A FLUID OF HARD-RODS, DISKS, SPHERES, OR HYPERSPHERES FROM RESCALED VIRIAL EXPANSIONS [J].
BAUS, M ;
COLOT, JL .
PHYSICAL REVIEW A, 1987, 36 (08) :3912-3925
[4]   Equation of state of hard and Weeks-Chandler-Anderson hyperspheres in four and five dimensions [J].
Bishop, M ;
Masters, A ;
Clarke, JHR .
JOURNAL OF CHEMICAL PHYSICS, 1999, 110 (23) :11449-11453
[5]   EQUATION OF STATE FOR NONATTRACTING RIGID SPHERES [J].
CARNAHAN, NF ;
STARLING, KE .
JOURNAL OF CHEMICAL PHYSICS, 1969, 51 (02) :635-&
[6]   Analytic calculation of B4 for hard spheres in even dimensions [J].
Clisby, N ;
McCoy, BM .
JOURNAL OF STATISTICAL PHYSICS, 2004, 114 (5-6) :1343-1360
[7]   Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres [J].
Clisby, N ;
McCoy, BM .
JOURNAL OF STATISTICAL PHYSICS, 2004, 114 (5-6) :1361-1392
[8]  
CLISBY N, 2003, CONDMAT0303101
[9]   THE FREEZING OF HARD DISKS AND HYPERSPHERES [J].
COLOT, JL ;
BAUS, M .
PHYSICS LETTERS A, 1986, 119 (03) :135-139
[10]   The virial coefficients of hard hypersphere binary mixtures [J].
Enciso, E ;
Almarza, NG ;
Gonzalez, MA ;
Bermejo, FJ .
MOLECULAR PHYSICS, 2002, 100 (12) :1941-1944