On the construction of particle distributions with specified single and pair densities

Journal of Physical Chemistry B

Volumn 108, Issue 51, 2004, Pages 19614-19618

  Costin, O ^a   Lebowitz, J L ^a,b  

^a RUTGERS UNIVERSITY   (United States)

^b Department of Physics ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PAIR DENSITIES; PARTICLE DISTRIBUTION; POISSON PROCESS; RADIAL DISTRIBUTION FUNCTION;

APPROXIMATION THEORY; COMPUTER SIMULATION; ELEMENTARY PARTICLES; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MARKOV PROCESSES; MATHEMATICAL MODELS; POISSON RATIO; VECTORS;

PROBABILITY DISTRIBUTIONS;

EID: 11444261876     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp047793m     Document Type: Article

References (31)

1. Hansen, J.-P.; McDonald, I. R. Theory of Simple Liquids; Academic Press: New York, 1986. See articles by Percus, J. K.; Stell, G.; et al. In Classical Fluids; Frisch, H. L., Lebowitz, J. L., Eds.; Benjamin: New York, 1964. The Liquid State of Matter: Fluids, Simple and Complex; Montroll, E. W., Lebowitz, J. L., Eds.; North-Holland: New York, 1982.
2. Hansen, J.-P.; McDonald, I. R. Theory of Simple Liquids; Academic Press: New York, 1986. See articles by Percus, J. K.; Stell, G.; et al. In Classical Fluids; Frisch, H. L., Lebowitz, J. L., Eds.; Benjamin: New York, 1964. The Liquid State of Matter: Fluids, Simple and Complex; Montroll, E. W., Lebowitz, J. L., Eds.; North-Holland: New York, 1982.
3. Hansen, J.-P.; McDonald, I. R. Theory of Simple Liquids; Academic Press: New York, 1986. See articles by Percus, J. K.; Stell, G.; et al. In Classical Fluids; Frisch, H. L., Lebowitz, J. L., Eds.; Benjamin: New York, 1964. The Liquid State of Matter: Fluids, Simple and Complex; Montroll, E. W., Lebowitz, J. L., Eds.; North-Holland: New York, 1982.
4. Percus, J. K. article in ref 1 and references there.
5. Yamada, M. Prog. Theor. Phys. 1961, 25, 579.
6. Stillinger, F. H.; Torquato, S.; Eroles, J. M.; Truskett, R. M. J. Phys. Chem. B 2000, 105, 6592.
7. Torquato, S.; Stillinger, F. H. J. Phys. Chem. B 2002, 106, 8354; Erratum: ibid, 2002, 106, 11406.
8. Sakai, H.; Torquato, S.; Stillinger, F. H. J. Chem. Phys. 2002, 117, 297.
9. Crawford, J.; Torquato, S.; Stillinger, F. H. J. Chem. Phys. 2003, 119, 7065-7074.
10. Torquato, S.; Stillinger, F. H. Phys. Rev. E 2003, 68, 041113.
11. Stillinger, F. H.; Torquato, S. Pair Correlation Function Realizability: Lattice Model Implications. To be published.
12. Lenard, A. Comm. Math. Phys. 1973, 30, 35; Arch. Rat. Mech. Anal. 1975, 59, 219 and 240.
13. Lenard, A. Comm. Math. Phys. 1973, 30, 35; Arch. Rat. Mech. Anal. 1975, 59, 219 and 240.
14. Kuna, T.; Lebowitz, J. L. in preparation.
15. Beck, J. Acta Math. 1987, 1, 159.
16. Lebowitz, J. L. Phys. Rev. A 1983, 27, 1491. Levesque, D.; Weis, J.; Lebowitz, J. L. J. Stat. Phys. 2000, 100, 209-222.
17. Lebowitz, J. L. Phys. Rev. A 1983, 27, 1491. Levesque, D.; Weis, J.; Lebowitz, J. L. J. Stat. Phys. 2000, 100, 209-222.
18. Torquato, S.; Stillinger, F. H. in preparation.
19. Goldstein, S.; Lebowitz, J. L.; Speer, E. R. in preparation.
20. Gabrielli, A.; Jancovici, B.; Joyce, M.; Lebowitz, J. L.; Pietronero, L.; Labini, F. S. Phys. Rev. D 2003, 67, 043506.
21. Aizenman, M.; Goldstein, S.; Lebowitz, J. L. J. Stat. Phys. 2001, 103, 601.
22. Daley, D. J.; Vere-Jones, D. An Introduction to the Theory of Point Processes; Springer-Verlag: New York, 1988.
23. Cox, R. R.; Isham, V. Point Processes; Chapman and Hall: London, 1980.
24. Widder, D. V. Laplace Transforms; Princeton University Press: Princeton, NJ, 1941.
25. Costin, O. Three applications of Complex Analysis and Resurgence, submitted.
26. Soshnikov, A. Russian Math. Surveys 2000, 55, 5, 923; J. Stat. Phys. 2000, 100, 491.
27. Soshnikov, A. Russian Math. Surveys 2000, 55, 5, 923; J. Stat. Phys. 2000, 100, 491.
28. Mehta, M. L. Random Matrixes; Academic Press: New York, 1991.
29. Costin, O.; Lebowitz, J. L. Phys. Rev. Lett. 1995, 75, 69-72.
30. Soshnikov, A.; private communication.
31. Ambartzumian, R. V.; Sukiasian, H. S. Acta Applicandae Mathematica 1991, 22, 15.