Crossover between 2D and 3D fluid dynamics in the diffusion of islands in ultrathin freely suspended smectic films

Physical Review Letters

Volumn 105, Issue 26, 2010, Pages

  Nguyen, Zoom Hoang ^a   Atkinson, Markus ^a   Park, Cheol Soo ^a   MacLennan, Joseph ^a   Glaser, Matthew ^a   Clark, Noel ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOTION; DIFFUSION COEFFICIENTS; EINSTEIN RELATIONS; FINITE SIZE; FINITE VELOCITY; FREE PARAMETERS; MOLECULAR LAYER; SMECTIC FILMS; STOKES PARADOX; ULTRA-THIN; VISCOUS FLUIDS; VISCOUS MEDIUM;

BROWNIAN MOVEMENT; DISKS (STRUCTURAL COMPONENTS); FLUIDS; LIQUID CRYSTALS; LIQUID FILMS; PLASTIC FILMS; SMECTIC LIQUID CRYSTALS; ULTRATHIN FILMS;

THREE DIMENSIONAL;

EID: 78650811248     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.268304     Document Type: Article

References (23)

1. P.G. Saffman and M. Delbrück, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 72, 3111 (1975). 10.1073/pnas.72.8.3111
2. P.G. Saffman, J. Fluid Mech. 73, 593 (1976). JFLSA7 0022-1120 10.1017/S0022112076001511
3. H. Stone, J. Fluid Mech. 645, 1 (2010). JFLSA7 0022-1120 10.1017/S0022112009994186
4. B.D. Hughes, B.A. Pailthorpe, and L.R. White, J. Fluid Mech. 110, 349 (1981). JFLSA7 0022-1120 10.1017/S0022112081000785
5. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics: With Special Applications to Particulate Media (Springer, New York, 1973), ISBN 9001371159, 1st ed.. The prefactor for a thin disk in 3D fluid is 3 / (32 π η ⊃′) while in the HPW model, it is 1 / (16 π η ⊃′).
6. E. Petrov and P. Schwille, Biophys. J. 94, L41 (2008). BIOJAU 0006-3495 10.1529/biophysj.107.126565
7. C. Cheung, Y.H. Hwang, X.-I. Wu, and H.J. Choi, Phys. Rev. Lett. 76, 2531 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.76.2531
8. V. Prasad and E.R. Weeks, Phys. Rev. Lett. 102, 178302 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.178302
9. P. Cicuta, S.L. Keller, and S.L. Veatch, J. Phys. Chem. 111, 3328 (2007). 10.1021/jp0702088
10. C. Herold, P. Schwille, and E.P. Petrov, Phys. Rev. Lett. 104, 148102 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.148102
11. Y. Gambin, R. Lopez-Esparza, M. Reffay, E. Sierecki, N.S. Gov, M. Genest, R.S. Hodges, and W. Urbach, Proc. Natl. Acad. Sci. U.S.A. 103, 2098 (2006). PNASA6 0027-8424 10.1073/pnas.0511026103
12. C.Y. Young, R. Pindak, N.A. Clark, and R.B. Meyer, Phys. Rev. Lett. 40, 773 (1978). PRLTAO 0031-9007 10.1103/PhysRevLett.40.773
13. C.D. Muzny and N.A. Clark, Phys. Rev. Lett. 68, 804 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.68.804
14. J.C. Geminard, R. Holyst, and P. Oswald, Phys. Rev. Lett. 78, 1924 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.1924
15. A. Pattanaporkratana, C.S. Park, J.E. Maclennan, and N.A. Clark, Ferroelectrics 344, 71 (2006). FEROA8 0015-0193 10.1080/00150190600966862
16. A. Pattanaporkratana, C.S. Park, J.E. Maclennan, and N.A. Clark, Ferroelectrics 310, 131 (2004). FEROA8 0015-0193 10.1080/00150190490510537
17. F. Schneider, Phys. Rev. E 74, 021709 (2006). PLEEE8 1539-3755 10.1103/PhysRevE.74.021709
18. D. Davidov, C.R. Safinya, M. Kaplan, S.S. Dana, R. Schaetzing, R.J. Birgeneau, and J.D. Litster, Phys. Rev. B 19, 1657 (1979). PRBMDO 1098-0121 10.1103/PhysRevB.19.1657
19. P.E.B.W. Robert C., Handbook of Chemistry and Physics-54th Edition 1973-1974 (CRC Press, Cleveland, 1973).
20. C. Rosenblatt and N.M. Amer, Appl. Phys. Lett. 36, 432 (1980). APPLAB 0003-6951 10.1063/1.91534
21. S. Pankratz, P.M. Johnson, and C.C. Huang, Rev. Sci. Instrum. 71, 3184 (2000). RSINAK 0034-6748 10.1063/1.1305520
22. F. Picano, R. Holyst, and P. Oswald, Phys. Rev. E 62, 3747 (2000). PLEEE8 1539-3755 10.1103/PhysRevE.62.3747
23. Z. Nguyen (to be published).