Growth laws and self-similar growth regimes of coarsening two-dimensional foams: Transition from dry to wet limits

Physical Review Letters

Volumn 108, Issue 24, 2012, Pages

  Fortuna, Ismael ^a   Thomas, Gilberto L ^a   De Almeida, Rita M C ^a,d   Graner, François ^b,c  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^b INSTITUT CURIE   (France)

^c UNIVERSITÉ PARIS DIDEROT   (France)

^d Instituto Nacional de Ciência e Tecnologia: Sistemas Complexos   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ADJUSTABLE PARAMETERS; AVERAGE SIZE; BUBBLE CHARACTERISTICS; BUBBLE GROWTH; COARSENING FOAMS; CONCENTRATED EMULSION; GROWTH EXPONENT; GROWTH LAWS; GROWTH REGIME; LIQUID FRACTION; NUMBER DISTRIBUTION; PLATEAU BORDERS; POTTS MODEL SIMULATION; SELF-SIMILAR; TWO-DIMENSIONAL FOAMS; WEIGHTED SUM;

LIQUIDS; TWO DIMENSIONAL;

COARSENING;

EID: 84862563874     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.248301     Document Type: Article

References (33)

1. I. Cantat, S. Cohen-Addad, F. Elias, F. Graner, R. Höhler, O. Pitois, F. Rouyer, and A. Saint-Jalmes, Les mousses: Structure et dynamique (Belin, Paris, 2010)
2. [English version, Foams: Structure and Dynamics, edited by S. Cox (Oxford University Press, Oxford, to be published), ISBN 978-0-19-966289-0].
3. D. Weaire and S. Hutzler, Physics of Foams (Oxford University Press, Oxford, 2001).
4. J. Stavans, Rep. Prog. Phys. 56, 733 (1993). RPPHAG 0034-4885 10.1088/0034-4885/56/6/002
5. J. von Neumann, in Metal Interfaces, edited by, R. Brick, (ASM, Cleveland, 1952), p. 108.
6. J. Stavans and J.A. Glazier, Phys. Rev. Lett. 62, 1318 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.1318
7. V. Pignol, Ph.D. thesis, Institut National Polytechnique de Lorraine, 1996 (unpublished).
8. J.R. Iglesias and R.M.C. de Almeida, Phys. Rev. A 43, 2763 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.43.2763
9. F. Wakai, N. Enomoto, and H. Ogawa, Acta Mater. 48, 1297 (2000). ACMAFD 1359-6454 10.1016/S1359-6454(99)00405-X (Pubitemid 30577708)
10. C.E. Krill, III and L.-Q. Chen, Acta Mater. 50, 3059 (2002). ACMAFD 1359-6454 10.1016/S1359-6454(02)00084-8
11. G.L. Thomas, R.M.C. de Almeida, and F. Graner, Phys. Rev. E PLEEE8 1539-3755 74, 021407 (2006). 10.1103/PhysRevE.74.021407
12. J. Lambert, R. Mokso, I. Cantat, P. Cloetens, J.A. Glazier, F. Graner, and R. Delannay, Phys. Rev. Lett. 104, 248304 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.248304
13. P. Streitenberger and D. Zöllner, Scr. Mater. 55, 461 (2006). SCMAF7 1359-6462 10.1016/j.scriptamat.2006.05.009 (Pubitemid 44202272)
14. S. Hilgenfeldt, A.M. Kraynik, D.A. Reinelt, and J.M. Sullivan, Europhys. Lett. 67, 484 (2004). EULEEJ 0295-5075 10.1209/epl/i2003-10295-7 (Pubitemid 39046984)
15. R. McPherson and D. Srolovitz, Nature (London) 446, 1053 (2007). NATUAS 0028-0836 10.1038/nature05745 (Pubitemid 46676059)
16. W. Ostwald, Principles of Inorganic Chemistry (Macmillan, London, 1902), p. 58;
17. W. Ostwald Grundriss der Allgemeinen Chemie (Macmillan, London, 1908), p. 96;
18. W. Ostwald The Scientific Foundations of Analytic Chemistry (Macmillan, London, 1908), 3rd ed., p. 22.
19. I.M. Lifschitz and V.V. Slyozov, Zh. Eksp. Teor. Fiz. 35, 479 (1958) ZETFA7 0044-4510
20. [I.M. Lifschitz V.V. Slyozov Sov. Phys. JETP 8, 331 (1959)]; SPHJAR 0038-5646
21. C. Wagner, Z. Elektrochem. 65, 581 (1961) ZEELAI 0372-8382
22. J.A. Marqusee, J. Chem. Phys. JCPSA6 0021-9606 81, 976 (1984). 10.1063/1.447698
23. J.H. Yao, K.R. Elder, H. Guo, and M. Grant, Phys. Rev. B PRBMDO 0163-1829 45, 8173 (1992). 10.1103/PhysRevB.45.8173
24. J. Lambert, I. Cantat, R. Delannay, R. Mokso, P. Cloetens, J.A. Glazier, and F. Graner, Phys. Rev. Lett. 99, 058304 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.058304 (Pubitemid 47210317)
25. F. Bolton and D. Weaire, Philos. Mag. B 1364-2812 65, 473 (1992). 10.1080/13642819208207644
26. S. Hutzler, D. Weaire, and F. Bolton, Philos. Mag. B 1364-2812 71, 277 (1995). 10.1080/13642819508239034
27. M.P. Anderson, G.S. Grest, and D.J. Srolovitz, Philos. Mag. B 1364-2812 59, 293 (1989). 10.1080/13642818908220181
28. J.A. Glazier, M.P. Anderson, and G.S. Grest, Philos. Mag. B 62, 615 (1990). PMAADG 1364-2812 10.1080/13642819008215259
29. D. Zöllner and P. Streitenberger, Scr. Mater. 54, 1697 (2006). SCMAF7 1359-6462 10.1016/j.scriptamat.2005.12.042 (Pubitemid 43292365)
30. W.C. Graustein, Ann. Math. 32, 149 (1931). ANMAAH 0003-486X 10.2307/1968421
31. V. Bergeron, J. Phys. Condens. Matter 11, R215 (1999). JCOMEL 0953-8984 10.1088/0953-8984/11/19/201
32. E.A. Holm, J.A. Glazier, D.J. Srolovitz, and G.S. Grest, Phys. Rev. A 43, 2662 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.43.2662
33. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.248301 for plots of bubble distance to screening length ratio versus liquid fraction, and for growth probability distributions and growth rates versus effective side numbers and Plateau border radius.