Lineal measures of clustering in overlapping particle systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 4, 1996, Pages 4027-4036

  Quintanilla, J ^a   Torquato, S ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004671106     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.4027     Document Type: Article

References (41)

1. H. L. Weissberg, J. Appl. Phys.34, 2636 (1963).
2. M. Beran, Statistical Continuum Theories (Wiley, New York, 1968).
3. F. A. L. Dullien, Porous Media: Fluid Transport and Pore Structure, 2nd ed. (Academic, New York, 1992).
4. S. Torquato, Appl. Mech. Rev.44, 37 (1991).
5. H. Reiss, J. Phys. Chem.96, 4736 (1992).
6. G. W. Milton, Phys. Rev. Lett.46, 542 (1981).
7. G. W. Milton and N. Phan-Thien, Proc. R. Soc. London Ser. A380, 305 (1982).
8. B. Lu and S. Torquato, Phys. Rev. A45, 922 (1992).
9. B. Lu and S. Torquato, Phys. Rev. A45, 5530 (1992).
10. D. A. Coker, S. Torquato and J. H. Dunsmuir, J. Geophys. Res.100, 17497 (1996).
11. M. D. Rintoul, Phys. Rev. E54, 2663 (1996).
12. E. E. Underwood, Quantitative Stereology (Addison-Wesley, Reading, MA, 1970).
13. S. Torquato and B. Lu, Phys. Rev. E47, 2950 (1993).
14. W. G. Pollard and R. D. Present, Phys. Rev.73, 762 (1948).
15. W. Strieder and S. Prager, Phys. Fluids11, 2544 (1968).
16. F. G. Ho and W. Strieder, J. Chem. Phys.70, 5635 (1979).
17. M. Tassopoulos and D. E. Rosner, Chem. Eng. Sci.47, 421 (1992).
18. T. K. Tokunaga, J. Chem. Phys.82, 5298 (1985).
19. C. E. Krohn and A. H. Thompson, Phys. Rev. B33, 6366 (1986).
20. H. L. Weissberg and S. Prager, Phys. Fluids5, 1390 (1962).
21. S. Torquato and G. Stell, J. Chem. Phys.79, 1505 (1983).
22. S. Torquato, J. Stat. Phys.45, 843 (1986).
23. P. C. Carman, The Flow of Gases Through Porous Media (Academic, New York, 1952).
24. L. Poladian, Ph.D. thesis, University of Sydney, Australia, 1990.
25. D. Stoyan and G. Lippmann, Z. Op. Res.38, 235 (1993).
26. A. Kolmogorov, Izv Akad Nauk SSSR Ser Math.1, 359 (1937).
27. W. Haller, J. Chem. Phys.42, 686 (1965).
28. H. A. M. van Eeklen, J. Catal.29, 75 (1973).
29. A. V. Neimark and L. I. Kheifets, Vysokomoleculyarnye Soedineniya23, 1845 (1981).
30. P. Hall, Introduction to the Theory of Coverage Processes (Wiley, New York, 1988).
31. N. Cressie and G. M. Laslett, SIAM Rev.29, 557 (1987).
32. S. Torquato, J. D. Beasley and Y. C. Chiew, J. Chem. Phys.88, 6540 (1988).
33. C. Domb, Proc. Cambridge Philos. Soc.43, 329 (1947).
34. E. Çinlar and S. Torquato, J. Stat. Phys.78, 827 (1995).
35. J. Abate and W. Whitt, Queueing Sys.10, 5 (1992).
36. J. Abate and W. Whitt, ORSA J. Comput.7, 36 (1995).
37. S. W. Haan and R. Zwanzig, J. Phys. A10, 1547 (1977).
38. S. B. Lee and S. Torquato, Phys. Rev. E41, 5338 (1990).
39. E. V. Bulinskaya and S. A. Molchanov, Moscow Univ. Math. Bull.43, 29 (1988).
40. Y. C. Chiew and E. D. Glandt, J. Phys. A16, 2599 (1983).
41. L. K. Platzman, J. C. Ammons and J. J. Bartholdi, Op. Res.36, 137 (1988).