On the realizability of pair correlation functions

Physica A: Statistical Mechanics and its Applications

Volumn 360, Issue 1, 2006, Pages 21-36

  Uche, O U ^a   Stillinger, F H ^b   Torquato, S ^a,b  

^a Princeton University   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

Hard spheres and disks; Pair correlation function; Realizability

Indexed keywords

ALGORITHMS; CORRELATION METHODS; GEOMETRY; STOCHASTIC PROGRAMMING;

HARD SPHERES AND DISKS; PAIR CORRELATION FUNCTIONS; REALIZABILITY;

PROBABILITY DENSITY FUNCTION;

EID: 27744549825     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.03.058     Document Type: Article

References (17)

1. M.D. Rintoul, and S. Torquato J. Colloid Inter. Sci. 186 1997 467
2. C.L.Y. Yeong, and S. Torquato Phys. Rev. E 57 1998 495
3. D. Cule, and S. Torquato J. Appl. Phys. 86 1999 3428
4. S. Torquato Random Heterogeneous Materials: Microstructure and Macroscopic Properties 2002 Springer New York
5. J. Crawford, S. Torquato, and F.H. Stillinger J. Chem. Phys. 119 2003 7065
6. S. Torquato, F.H. Stillinger, J. Phys. Chem. B 106 (2002) 8354, 11406.
7. M. Yamada Prog. Theor. Phys. 25 1961 579 Note that the inequality (1.4) applies to windows of arbitrary shape
8. S. Torquato, and F.H. Stillinger Phys. Rev. E 68 2003 041113
9. O. Costin, and J.L. Lebowitz J. Phys. Chem. B 108 2004 19614
10. F.H. Stillinger, S. Torquato, J.M. Eroles, and T.M. Truskett J. Phys. Chem. B 105 2001 6592
11. P.J.M. van Laarhoven, and E.H.L. Aarts Simulated Annealing: Theory and Applications 1987 D. Reidel Publishing Co. Holland
12. During each simulation, a fixed fraction of the number of particles in the system was displaced by each collective movement. However, this fraction was dependent on the system of interest. In some cases, 10 percent of the particles were displaced per collective movement; in other cases, twenty percent of the particles were displaced during each such cycle.
13. K.S. Schweizer, and J.G. Curro Phys. Rev. Lett. 58 1987 246
14. D. Chandler E.W. Montroll J.L. Lebowitz Studies in Statistical Mechanics VIII 1982 North-Holland Amsterdam 275 and references cited therein
15. J.G. Curro, and K.S. Schweizer J. Chem. Phys. 87 1987 1842
16. J.P. Donley, J.J. Rajasekaran, and A.J. Liu J. Chem. Phys. 109 1998 10499
17. J.G. Kirkwood J. Chem. Phys. 3 1935 300