INSTABILITIES IN THE EQUATIONS OF STATE OF HARD-DISK AND HARD-SPHERE FLUIDS FROM THE VIRIAL EXPANSIONS

被引:13
作者
MAESO, MJ [1 ]
SOLANA, JR [1 ]
机构
[1] UNIV CANTABRIA,DEPT FIS APLICADA,E-39005 SANTANDER,SPAIN
关键词
D O I
10.1063/1.465779
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
Equations of state for hard-disk and hard-sphere fluids are obtained from a generalization of the Carnahan-Starling method of direct summation of the virial series. The equations of state thus obtained, besides reproducing all known virial coefficients, agree very accurately with simulation data for stable fluids. If appropriate values for the sixth and seventh virial coefficients are chosen within their uncertainty, the equations of state predict that the fluids become unstable at Kauzmann's density.
引用
收藏
页码:548 / 552
页数:5
相关论文
共 31 条
[11]   MOLECULAR-DYNAMICS CALCULATIONS OF THE HARD-SPHERE EQUATION OF STATE [J].
ERPENBECK, JJ ;
WOOD, WW .
JOURNAL OF STATISTICAL PHYSICS, 1984, 35 (3-4) :321-340
[12]   EQUATION OF STATE OF THE CLASSICAL HARD-DISK FLUID [J].
ERPENBECK, JJ ;
LUBAN, M .
PHYSICAL REVIEW A, 1985, 32 (05) :2920-2922
[13]   RANDOM PACKINGS AND STRUCTURE OF SIMPLE LIQUIDS .2. MOLECULAR GEOMETRY OF SIMPLE LIQUIDS [J].
FINNEY, JL .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1970, 319 (1539) :495-&
[14]  
HELFAND E, 1961, J CHEM PHYS, V31, P369
[15]   MONTE-CARLO AND PERTURBATION-THEORY STUDIES OF EQUATION OF STATE OF 2-DIMENSIONAL LENNARD-JONES FLUID [J].
HENDERSON, D .
MOLECULAR PHYSICS, 1977, 34 (02) :301-315
[16]   SIMPLE EQUATION OF STATE FOR HARD DISKS [J].
HENDERSON, D .
MOLECULAR PHYSICS, 1975, 30 (03) :971-972
[17]   CRITICAL EXPONENT FOR GLASSY PACKING OF RIGID SPHERES AND DISKS [J].
JASTY, S ;
ALNAGHY, M ;
DELLANO, M .
PHYSICAL REVIEW A, 1987, 35 (03) :1376-1381
[18]   VANDERWAALS THEORY ON THE SUPERCOOLED LIQUIDS OF INVERSE-POWER POTENTIALS [J].
KAMBAYASHI, S ;
HIWATARI, Y .
PHYSICAL REVIEW A, 1988, 37 (03) :852-859
[19]  
KRATKY KW, 1978, J CHEM PHYS, V69, P2251, DOI 10.1063/1.436784
[20]   5TH TO 10TH VIRIAL-COEFFICIENTS OF A HARD-SPHERE FLUID [J].
KRATKY, KW .
PHYSICA A, 1977, 87 (03) :584-600