The structure of foam cells: Isotropic Plateau polyhedra

Europhysics Letters

Volumn 67, Issue 3, 2004, Pages 484-490

  Hilgenfeldt, S ^a   Kraynik, A M ^b   Reinelt, D A ^c   Sullivan, J M ^d,e  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b SANDIA NATIONAL LABORATORIES   (United States)

^c SOUTHERN METHODIST UNIVERSITY   (United States)

^d UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^e TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3843089327     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-10295-7     Document Type: Article

References (36)

1. WEAIRE D. and HUTZLER S., The Physics of Foams (Oxford University Press, Oxford) 2000.
2. SMITH C. S., in Metal Interfaces, edited by HERRING C. (American Society for Metals, Cleveland) 1952.
3. DE ALBUQUERQUE M. P. and MOLHO P., J. Magn. & Magn. Mater., 113 (1992) 132.
4. BERGE B., SIMON A. J. and LIBCHABER A., Phys. Rev, A, 41 (1990) 6893.
5. MULLINS W. W., J. Appl. Phys., 50 (1986) 1341.
6. GLAZIER J. A., Phys. Rev. Lett., 70 (1993) 2170.
7. HILGENFELDT S., KOEHLER S. A. and STONE H. A., Phys. Rev. Lett., 86 (2001) 4704.
8. WEAIRE D. and PHELAN R., Nature, 367 (1994) 123; WEAIRE D. (Editor), The Kelvin Problem (Taylor & Francis, London) 1996.
9. WEAIRE D. and PHELAN R., Nature, 367 (1994) 123; WEAIRE D. (Editor), The Kelvin Problem (Taylor & Francis, London) 1996.
10. MATZKE E., Am. J. Bot., 33 (1946) 58.
11. KRAYNIK A. M., REINELT D. A. and VAN SWOL F., Phys. Rev. E, 67 (2003) 031403.
12. MONNEREAU C. and VIGNES-ADLER M., Phys. Rev. Lett., 80 (1998) 5228.
13. HILGENFELDT S., KRAYNIK A., KOEHLER S. A. and STONE H. A., Phys. Rev. Lett., 86 (2001) 2685.
14. LIU A. J. and NAGEL S. R., Nature, 396 (1998) 21.
15. STEINHARDT P. J., NELSON D. R. and RONCHETTI M., Phys. Rev. Lett., 47 (1981) 1297.
16. ELLIS R. S. (Editor), Entropy, Large Deviations, and Statistical Mechanics (Springer, New York) 1985.
17. RIVIER N., Philos. Mag. B, 52 (1985) 795.
18. BRAKKE K. A., private communication (2002).
19. PLATEAU J. A. F., Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires (Gauthier-Villars, Trubner et cie, Paris) 1873.
20. CHOE J., Math. Ann., 323 (2002) 143.
21. FINN R. and MCCUAN J., Math. Nachr., 209 (2000) 115.
22. SIRE C., Phys. Rev. Lett., 72 (1994) 420.
23. FORTES M. A., J. Mat. Sci., 21 (1986) 2509.
24. MULLINS W. W., Acta Metall., 37 (1989) 2979.
25. GLICKSMAN M. E., Average N-hedra as a basis for grain shape, submitted to Interface Sci. (2004).
26. RIVIER N., J. Phys. (Paris), Coll. C9, 43 (1982) 91; KUSNER R., Proc. R. Soc. London, Ser. A, 439 (1992) 683.
27. RIVIER N., J. Phys. (Paris), Coll. C9, 43 (1982) 91; KUSNER R., Proc. R. Soc. London, Ser. A, 439 (1992) 683.
28. WEISSTEIN E. W., Eric Weisstein's World of Mathematics, http://mathworld.wolfram.com/-ReuleauxTetrahedron.html.
29. VAN DOORNUM A. and HILGENFELDT S., Foam tetrahedra: Isotropic bubbles as a tool for in situ film thickness measurements, submitted to Phys. Rev. Lett. (2003).
30. MILLMAN R. S. and PARKER G. D. (Editors), Elements of Differential Geometry (Prentice-Hall, Englewood Cliffs) 1977.
31. ZWILLINGER D. (Editor), Standard Mathematical Tables and Formulae (CRC Press, Boca Raton) 1996.
32. COX S. J. and FORTES M. A., Philos. Mag. Lett., 83 (2003) 281.
33. GRANER F., JIANG Y., JANIAUD E. and FLAMENT C., Phys. Rev. E, 63 (2000) 011402.
34. COX S. J. and GRANER F., Three-dimensional bubble clusters: shape, packing and growth-rate, preprint (2003).
35. HILGENFELDT S., unpublished data.
36. MINKOWSKI H., Math. Ann., 57 (1903) 447.