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Triplet correlations in the quantum hard-sphere fluid
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10.1063/1.2009733
/content/aip/journal/jcp/123/10/10.1063/1.2009733
http://aip.metastore.ingenta.com/content/aip/journal/jcp/123/10/10.1063/1.2009733

Figures

Image of FIG. 1.
FIG. 1.

Results for the functional determined numerically with Eq. (24) from and structural information. The vertical line marks the position of the hard core, . hard-sphere fluid, , , response, hard-sphere fluid, and -Yevick.

Image of FIG. 2.
FIG. 2.

Results for the functional determined numerically with Eq. (24) and with the Jackson-Feenberg (JF) closure [Eq. (27b)] at selected state points of the QHS fluid (CM structures). The three upper plots are shifted by , , and , respectively. The vertical line marks the position of the hard core, .

Image of FIG. 3.
FIG. 3.

Results for the functional determined numerically with Eq. (24) and with the Jackson-Feenberg closure (JF) [Eq. (27b)]. (a) State point SP49 of the QHS fluid (ET and CM structures). (b) At two state points of the CHS-PY fluid. The vertical line marks the position of the hard core, .

Image of FIG. 4.
FIG. 4.

Results for the functional determined numerically with Eq. (24) and with the Egelstaff [Eq. (28b)] and March [Eq. (29b)] closures at selected state points of the QHS (CM structure) and the CHS-PY fluids. The QHS-CM plots are shifted by . The vertical line marks the position of the hard core, .

Image of FIG. 5.
FIG. 5.

Density influence on PIMC results for equilateral triplet correlations in the QHS fluid. [Eq. (17)] and response [Eq. (18)]. The vertical line marks the position of the hard core, .

Image of FIG. 6.
FIG. 6.

Monte Carlo simulation (PIMC and MC) and Jackson-Feenberg (JF) [Eq. (27a)] results for equilateral triplet correlations in the QHS and the CHS fluids. [Eq. (17)], and [Eq. (19)]. The vertical line marks the position of the hard core, .

Image of FIG. 7.
FIG. 7.

Correlations at in the QHS (CM3 structures for ) and CHS fluids obtained with PIMC, MC, and JF [Eq. (27a)]. (a) CHS∕QHS comparison. (b) QHS at three slices near the hard core. [Eq. (19)]. The vertical line marks the position of the hard core, .

Image of FIG. 8.
FIG. 8.

Isosceles correlations at several slices for obtained with PIMC, MC, and JF [Eq. (27a)]. (a) QHS fluid; LR3 structures at , 0.3. response [Eq. (18)]. (b) CHS fluid; The vertical line marks the position of the hard core, .

Image of FIG. 9.
FIG. 9.

Profiles described by the heights in the close vicinity of the first peaks of PIMC and MC isosceles correlations obtained for the QHS (, ) and the CHS fluids. [Eq. (17)] and [Eq. (19)]. The vertical line marks the position of the hard core, .

Tables

Generic image for table
Table I.

Salient features of the and the equilateral- correlations obtained with PIMC for the QHS state points. The values quoted ( in Å) are in the close vicinity of peak, valley, and peak. , , , , and .

Generic image for table
Table II.

Values of the ET3 instantaneous triplet correlations in the close vicinity of the maxima reached by the isosceles configurations of the state points of the QHS fluid at selected slices. The error bars are one standard deviation. , , , and .

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/content/aip/journal/jcp/123/10/10.1063/1.2009733
2005-09-14
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Triplet correlations in the quantum hard-sphere fluid
http://aip.metastore.ingenta.com/content/aip/journal/jcp/123/10/10.1063/1.2009733
10.1063/1.2009733
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