Particle-size distribution and packing fraction of geometric random packings

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 3, 2006, Pages

  Brouwers, H J H ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); FUNCTIONS; GEOMETRY; OPTIMIZATION; PACKING; SIEVES;

GEOMETRIC PACKINGS; GEOMETRIC RANDOM PACKINGS; POLYDISPERSE POWER LAW PACKING; SIEVE FRACTIONS;

HIGH ENERGY PHYSICS;

EID: 33749338759     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.031309     Document Type: Article

References (35)

1. S. H. Liou and C. L. Chien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.2443 35, 2443 (1987).
2. O. N. Senkov and D. B. Miracle, Mater. Res. Bull. MRBUAC 0025-5408 10.1016/S0025-5408(01)00715-2 36, 2183 (2001).
3. J. L. Lebowitz and J. S. Rowlinson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1725611 41, 133 (1964).
4. N. F. Carnahan and K. E. Starling, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1672048 51, 635 (1969).
5. H. J. Hermann, R. Mahmoodi Baram, and M. Wackenhut, Physica A PHYADX 0378-4371 330, 77 (2003).
6. A. R. Denton and N. W. Ashcroft, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.7312 42, 7312 (1990).
7. P. Jalali and M. Li, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71. 014206 71, 014206 (2005).
8. R. Mahmoodi Baram, H. J. Hermann, and N. Rivier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.044301 92, 044301 (2004).
9. G. D. Scott, Nature (London) NATUAS 0028-0836 10.1038/188908a0 188, 908 (1960);
10. G. D. Scott and D. M. Kilgour, Br. J. Appl. Phys., J. Phys. D JPDBAK 2, 863 (1969).
11. A. R. Kansal, S. Torquato, and F. H. Stillinger, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1511510 117, 8212 (2002).
12. A. R. Kansal, S. Torquato, and F. H. Stillinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.041109 66, 041109 (2002).
13. G. Y. Onoda and E. G. Liniger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2727 64, 2727 (1990).
14. J. G. Berryman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.1053 27, 1053 (1983).
15. A. P. Philipse, Langmuir LANGD5 0743-7463 10.1021/la950671o 12, 1127 (1996).
16. W. Man, A. Donev, F. H. Stillinger, M. T. Sullivan, W. B. Russel, D. Heeger, S. Inati, S. Torquato, and P. M. Chaikin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.198001 94, 198001 (2005).
17. H. Y. Sohn and C. Moreland, Can. J. Chem. Eng. CJCEA7 0008-4034 46, 162 (1968).
18. D. He, N. N. Ekere, and L. Cai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.7098 60, 7098 (1999).
19. C. C. Furnas, Department of Commerce, Bureau of Mines, Report of Investigation Serial No. 2894, 1928; Bulletin of US Bureau of Mines 307, 74 (1929).
20. C. C. Furnas, Ind. Eng. Chem. IECHAD 0019-7866 23, 1052 (1931).
21. A. H. M. Andreasen and J. Andersen, Kolloid-Z. KOZEA7 0368-6590 50, 217 (in German) (1930).
22. J. Zheng, P. F. Johnson, and J. S. Reed, J. Am. Ceram. Soc. JACTAW 0002-7820 73, 1392 (1990).
23. J. E. Funk and D. R. Dinger, Predictive Process Control of Crowded Particulate Suspension, Applied to Ceramic Manufacturing (Kluwer Academic Press, Boston, 1994).
24. M. A. Caquot, Mémoires de la Société des Ingénieurs Civils de France, 562 (in French) (1937).
25. R. K. McGeary, J. Am. Chem. Soc. JACSAT 0002-7863 44, 513 (1961).
26. P. C. Mangelsdorf and E. L. Washington, Nature (London) NATUAS 0028-0836 10.1038/187930a0 187, 930 (1960).
27. A. S. Clarke and J. D. Wiley, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.7350 35, 7350 (1987).
28. O. Redlich and A. T. Kister, J. Am. Chem. Soc. JACSAT 0002-7863 71, 505 (1949).
29. H. J. H. Brouwers, University of Twente Report No. 2005R-003/CME-001, 2005 (unpublished).
30. F. O. Anderegg, Ind. Eng. Chem. IECHAD 0019-7866 23, 1058 (1931).
31. A. M. Gaudin, Petroleum Development and Technology 73, 253 (1926).
32. A. R. Denton (private communication).
33. A. N. Patankar and G. Mandal, Trans. J. Br. Ceram. Soc. TJBCAD 0307-7357 79, 59 (1980).
34. J. Baron and R. Sauterey, Le béton hydraulique, connaissance et pratique (in French) (Presses de l'Ecole Nationale des Ponts et Chaussées, Paris, 1982).
35. A. Hummel, Das Beton-ABC, Ein Lehrbuch der Technologie des Schwerbetons und des Leichtbetons (in German) (Verlag von Wilhelm Ernst & Sohn, Berlin, 1959).