Statistical characterization of the pore space of random systems of hard spheres

Journal of Non-Crystalline Solids

Volumn 357, Issue 6, 2011, Pages 1508-1515

  Stoyan, D ^a   Wagner, A ^a   Hermann, H ^b   Elsner, A ^b  

^a TU BERGAKADEMIE FREIBERG   (Germany)

^b IFW DRESDEN   (Germany)

Author keywords

Correlation function; Disordered structures; Modelling; Porosity

Indexed keywords

CORRELATION FUNCTION; DISORDERED STRUCTURES; EMPTY SPACE; GRANULAR MATTER; HARD SPHERE SYSTEMS; HARD SPHERES; MATHEMATICAL EXPRESSIONS; MATHEMATICAL FORMS; MODELLING; MONTE CARLO SIMULATION; NUMERICAL RESULTS; PORE SPACE; RANDOM PACKED SPHERES; RANDOM POROUS MEDIA; RANDOM SYSTEMS; STATISTICAL CHARACTERIZATION; STRUCTURAL CHARACTERIZATION; STRUCTURE MODELS;

COMPUTER SIMULATION; GLASS; METALLIC GLASS; MONTE CARLO METHODS; PARTICLES (PARTICULATE MATTER); POROUS MATERIALS;

SPHERES;

EID: 79952008440     PISSN: 00223093     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnoncrysol.2010.12.033     Document Type: Article

References (36)

1. S. Torquato Random Heterogeneous Materials: Microstructure and Macroscopic Properties 2002 Springer New York
2. R. Hosemann, and S.N. Bagchi Direct Analysis of Diffraction by Matter 1962 North-Holland Amsterdam
3. S. Steeb, G. Lehner, W. Kundt, R. Seiwert, H. Heintzmann, and P. Mittelstaedt Evaluation of atomic distribution in liquid metals and alloys by means of X-ray, neutron-, and electron diffraction Springer Tracts in Modern Physics vol. 47 1968
4. S. Steeb, and P. Lamparter J. Non-Cryst. Solids 156-158 1993 24
5. W.K. Luo, and E. Ma J. Non-Cryst. Solids 354 2008 945
6. D. Bernal Nature 188 1960 2727
7. J.L. Finney Acta Cryst. A 25 1969 S89 part S
8. G.S. Cargill Acta Cryst. A 25 1969 S95 part S
9. G.S. Cargill J. Appl. Phys. 41 1970 12
10. D. Stoyan, W.S. Kendall, and J. Mecke Stochastic Geometry and Its Applications 1995 Wiley Chichester
11. H. Hermann, A. Elsner, M. Hecker, and D. Stoyan Microel. Eng. 81 2005 535
12. C. Radin J. Stat. Phys. 131 2008 567
13. G.S. Cargill Solid State Phys. 30 1975 227
14. J.L. Finney Nature 226 1977 309
15. N.N. Medvedev Voronoi-Delaunay Method for Non-Crystalline Structures 2000 Russian Acad. of Sci Novosibirsk
16. N.N. Medvedev, V.P. Voloshin, V.A. Luchnikov, and M.I. Gavrilova J. Comput. Chem. 27 2006 1676
17. J. Serra Image Analysis and Mathematical Morphology 1982 Academic Press
18. K. Gotoh, M. Nakagawa, M. Furuuchi, and A. Yoshigi J. Chem. Phys. 85 1986 3078
19. S. Chandrasekhar Rev. Mod. Phys. 15 1943 1
20. H. Reiss, H.L. Frisch, and J.L. Lebowitz J. Chem. Phys. 31 1959 369
21. A. Elsner, A. Wagner, T. Aste, H. Hermann, and D. Stoyan J. Phys. Chem. B 113 2009 7780
22. T. Aste, M. Saadatfar, A. Sakellariou, and T.J. Senden Physica A 339 2004 16
23. A. Bezrukov, M. Bargiel, and D. Stoyan Part. Part. Syst. Charact. 19 2002 111
24. W.S. Jodrey, and E.M. Tory Phys. Rev. A 32 1985 2347
25. A.S. Clarke, and J.D. Wiley Phys. Rev. B 35 1987 73050
26. V. Kokotin, and H. Hermann Acta Mater. 56 2008 5058
27. V. Kokotin, and H. Hermann Scr. Mater. 61 2009 261
28. D.B. Miracle Nat. Mater. 3 2004 697
29. S. Prager Chem. Eng. Sci. 18 1963 227
30. B. Lu, and S. Torquato Phys. Rev. A 45 1992 5530
31. M. Dixmier J. Phys. (Paris) 39 1978 873
32. A. Pavlovitch, R. Jullien, and P. Meakin Physica A 176 1991 206
33. P. Levitz J. Phys. Chem. 97 1993 3813
34. B.W. Silverman Density Estimation for Statistics and Data Analysis 1986 CRC Press
35. K. Lochmann, A.V. Anikeenko, A. Elsner, M. Medvedev, and D. Stoyan Eur. Phys. J. B 53 2006 67
36. N.L. Johnson, S. Kotz, and N. Balakrishan 2nd Ed Continuous Univariate Distributions Vol. 1 1994 Wiley