Statistics of fluctuating colloidal fluid-fluid interfaces

Journal of Chemical Physics

Volumn 129, Issue 16, 2008, Pages

  De Villeneuve, V W A ^a   Van Leeuwen, J M J ^b   Van Saarloos, W ^b   Lekkerkerker, H N W ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITEIT LEIDEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CONFOCAL MICROSCOPY; CORRELATION METHODS; MICROSCOPIC EXAMINATION; REGRESSION ANALYSIS; SURFACE CHEMISTRY; SURFACE TENSION;

COLLOIDAL FLUIDS; CORRELATION FUNCTIONS; EXPERIMENTAL DATUMS; FLUID INTERFACES;

PHASE INTERFACES;

EID: 55349116396     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3000639     Document Type: Article

References (25)

1. J. D. van der Waals, Z. Phys. Chem. 13, 657 (1894). 0942-9352
2. M. V. von Smoluchowski, Ann. Phys. (N.Y.) 25, 205 (1908). 0003-4916
3. L. Mandelstam, Ann. Phys. (N.Y.) 41, 609 (1913). 0003-4916
4. F. P. Buff, R. A. Lovett, and F. H. Stillinger, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.15.621 15, 621 (1965).
5. J. D. Weeks, J. Chem. Phys. 0021-9606 10.1063/1.435276 67, 3106 (1977).
6. C. V. Raman, Nature (London) 0028-0836 10.1038/112281a0 112, 281 (1923).
7. A. Vrij, Adv. Colloid Interface Sci. 2, 39 (1968). 0001-8686
8. A. Braslau, P. S. Pershan, G. Swislow, B. M. Ocko, and J. Als-Nielsen, Phys. Rev. A 1050-2947 10.1103/PhysRevA.38.2457 38, 2457 (1988).
9. M. K. Sanyal, S. K. Sinha, K. G. Huang, and B. M. Ocko, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.66.628 66, 628 (1991).
10. C. Fradin, A. Braslau, D. Luzet, D. Smilgies, M. Alba, N. Boudet, K. Mecke, and J. Daillant, Nature (London) 0028-0836 10.1038/35002533 403, 871 (2000).
11. J. H. Sikkenk, J. M. J. van Leeuwen, E. O. Vossnack, and A. F. Bakker, Physica A 0378-4371 10.1016/0378-4371(87)90287-1 146, 622 (1987).
12. D. G. A. L. Aarts, M. Schmidt, and H. N. W. Lekkerkerker, Science 0036-8075 10.1126/science.1097116 304, 847 (2004).
13. D. Derks, D. Aarts, D. Bonn, H. N. W. Lekkerkerker, and A. Imhof, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.97.038301 97, 038301 (2006).
14. C. P. Royall, D. G. A. L. Aarts, and H. Tanaka, Nat. Phys. 3, 636 (2007).
15. D. G. A. L. Aarts and H. N. W. Lekkerkerker, J. Fluid Mech. 606, 275 (2008). 0022-1120
16. J. Krug, H. Kallabis, N. J. Majumdar, S. J. Cornell, A. J. Bray, and C. Sire, Phys. Rev. E 1063-651X 10.1103/PhysRevE.56.2702 56, 2702 (1997).
17. S. N. Majumdar and C. Sire, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.77.1420 77, 1420 (1996).
18. V. W. A. de Villeneuve, J. M. J. van Leeuwen, J. W. J. de Folter, D. G. A. L. Aarts, W. van Saarloos, and H. N. W. Lekkerkerker, Europhys. Lett. 0295-5075 10.1209/0295-5075/81/60004 81, 60004 (2008).
19. B. Vincent, Colloids Surf. 0166-6622 10.1016/0166-6622(90)80267-8 50, 241 (1990).
20. H. N. W. Lekkerkerker, W. C. K. Poon, P. N. Pusey, A. Stroobants, and P. B. Warren, Europhys. Lett. 0295-5075 10.1209/0295-5075/20/6/015 20, 559 (1992).
21. Although the drumhead Hamiltonian is well known and studied, it is useful to remind the reader that the reality of the height function h (r) implies that hk = h-k so that the fluctuations at k and -k are not independent; as a result care should therefore be taken in calculating averages like in Eq.. We refer to R. Kayser, Phys. Rev. A 1050-2947 10.1103/PhysRevA.33.1948 33, 1948 (1986), for a detailed discussion of these points.
22. U. -S. Jeng, L. Esibov, L. Crow, and A. Steyerl, J. Phys.: Condens. Matter 16S, 4231 (1998).
23. N. G. van Kampen, Stochastic Processes in Physics and Chemistry, 3rd ed. (Elsevier, New York, 2007).
24. T. Hiester, S. Dietrich, and K. Mecke, J. Chem. Phys. 0021-9606 10.1063/1.2358341 125, 184701 (2006).
25. M. Abramowitz and I. E. Stegun, Handbook of Mathematical Functions, 9th ed. (Dover, New York, 1972).