Correlation function of angle-of-arrival measurements with one-dimensional Shack-Hartmann wavefront sensor

2007 ◽  
Author(s):  
Shengyang Huang ◽  
Wenyu Li ◽  
Pu Zhou ◽  
Yifeng Geng

The direct correlation function between two points in the gas-liquid surface of the penetrable sphere model is obtained in a mean-field approximation. This function is used to show explicitly that three apparently different ways of calculating the surface tension all lead to the same result. They are (1) from the virial of the intermolecular potential, (2) from the direct correlation function, and (3) from the energy density. The equality of (1) and (2) is shown analytically at all temperatures 0 < T < T c where T c is the critical temperature; the equality of (2) and (3) is shown analytically for T ≈ T c , and by numerical integration at lower temperatures. The equality of (2) and (3) is shown analytically at all temperatures for a one-dimensional potential.


1996 ◽  
Vol 54 (18) ◽  
pp. R12669-R12672 ◽  
Author(s):  
A. H. Bougourzi ◽  
M. Couture ◽  
M. Kacir

1995 ◽  
Author(s):  
Daniel R. Neal ◽  
Robert E. Pierson ◽  
E. Chen ◽  
Kenneth P. Bishop ◽  
Lenore J. McMackin

1986 ◽  
Vol 68 (3) ◽  
pp. 955-960 ◽  
Author(s):  
V. E. Korepin ◽  
N. A. Slavnov

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