Density-functional approach to the equation of state of a hard-sphere crystal

1995 ◽  
Vol 51 (1) ◽  
pp. 65-73 ◽  
Author(s):  
A. R. Denton ◽  
N. W. Ashcroft ◽  
W. A. Curtin
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Density Functional ◽  
Functional Approach

Structure of a hard-sphere fluid near a rough surface: A density-functional approach

1998 ◽  
Vol 57 (5) ◽  
pp. 5539-5543 ◽  
Author(s):  
D. Henderson ◽  
S. Sokołowski ◽  
D. Wasan
Keyword(s):  
Rough Surface ◽  
Hard Sphere ◽  
Density Functional ◽  
Functional Approach ◽  
Hard Sphere Fluid

EQUATION OF STATE AND FREEZING OF GMSA HARD SPHERES

2003 ◽  
Vol 17 (31n32) ◽  
pp. 6057-6065 ◽  
Author(s):  
M. MORADI ◽  
H. SHAHRI
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Density Functional ◽  
Hard Spheres ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Direct Correlation Function ◽  
Generalized Mean ◽  
Simulation Results ◽  
Good Agreement

The modified-weighted-density-functional approximation (MWDA) proposed by Denton and Ashcroft, is applied to study the equation of sate and freezing of the hard spheres using the generalized mean spherical approximation (GMSA) direct correlation function (DCF). Because of the attractive tail in the DCF, the perturbation method similar to that introduced by Yoon and Kim is applied. The free energy, freezing parameters and the equation of state of the hard sphere FCC crystal are obtained. The results are compared with some other previous theories and Monte Carlo simulation. Our results are in good agreement with the simulation results.

Freezing of a quantum hard-sphere liquid at zero temperature: A density-functional approach

1990 ◽  
Vol 64 (13) ◽  
pp. 1529-1532 ◽  
Author(s):  
A. R. Denton ◽  
P. Nielaba ◽  
K. J. Runge ◽  
N. W. Ashcroft
Keyword(s):  
Hard Sphere ◽  
Density Functional ◽  
Functional Approach ◽  
Zero Temperature ◽  
Hard Sphere Liquid

Hard sphere cavity in a liquid‐density functional approach

1993 ◽  
Vol 98 (11) ◽  
pp. 8958-8962 ◽  
Author(s):  
A. Samborski ◽  
J. Stecki ◽  
A. Poniewierski
Keyword(s):  
Hard Sphere ◽  
Density Functional ◽  
Functional Approach ◽  
Liquid Density
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