Hydrodynamics of monolayer domains at the air-water interface

Physics of Fluids

Volumn 8, Issue 4, 1996, Pages 843-854

  Lubensky, David K ^a,b,c   Goldstein, Raymond E ^a  

^a PRINCETON UNIVERSITY   (United States)

^b INSTITUT CHARLES SADRON   (France)

^c HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIR-WATER; HYDRODYNAMICS; INTERFACES; WETTING;

EID: 0029656389     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868893     Document Type: Article

References (45)

1. H. Möhwald, "Phospholipid and phospholipid-protein monolayers at the air-wxter interface," Annu. Rev. Phys. Chem. 41, 441 (1990).
2. H. M. McCoonell, "Structures and transitions in lipid monolayers at the air-water interface," Annu. Rev. Phys. Chem. 42, 171 (1991).
3. M. Seul and D. Andelman, "Domain shapes and patterns: The phenomenology of modulated phases," Science 267, 476 (1995).
4. M. Seul and M. J. Sammon, "Competing interactions and domain-shape instabilities in a monomolecular film at an air-water interface," Phys. Rev. Lett. 64, 1903 (1990).
5. M. Seul, "Domain wall fluctuations and instabilities in monomolecular films," Physica A 168, 198 (1990).
6. K. J. Stine, C. M. Knobler, and R. C. Desai, "Buckling instability in monolayer network structures," Phys. Rev. Lett. 65, 1004 (1990).
7. D. J. Benvegnu and H. M. McConnell, "Line tension between liquid domains in lipid monolayers," J. Phys. Chem. 96, 6820 (1992).
8. E. K. Mann, S.Hénon, D. Langevin, and J. Meunier, "Molecular layers of a polymer at the free water surface: Microscopy at the Brewster angle," J. Phys. II 2, 1683 (1992).
9. M. Seul, "Dynamics of domain shape relaxation in Langmuir films," J. Phys. Chem. 97, 2941 (1992).
10. K. J. Stine and D. T. Stratmann, "Fluorescence microscopy study of Langmuir monolayers of stearylamine," Langmuir 8, 2509 (1992).
11. K. Y. C. Lee and H. M. McConnell, "Quantized symmetry of lipid monolayer domains," J. Phys. Chem. 97, 9532 (1993).
12. E. K. Mann, S.Hénon, D. Langevin, J. Meunier, and L. Léger, "The hydrodynamics of domain relaxation in a polymer layer," Phys. Rev. E 51, 5708 (1995).
13. H. A. Stone and H. M. McConnell, "Hydrodynamics of quantized shape transitions in lipid domains," Proc. R. Soc. London Ser. A 448, 97 (1995).
14. H. A. Stone and H. M. McConnell, "Lipid domian instabilities in monolayers overlying sublayers of finite depth," J. Phys. Chem. 99, 13505 (1995).
15. R. E. Goldstein and D. P. Jackson, "Domian shape relaxation and the spectrum of thermal fluctuations in Langmuir monolayers," J. Phys. Chem. 98, 9626 (1994).
16. B. D. Hughes, B. A. Pailthorpe, and L. R. White, "The translational and rotational drag on a cylinder moving in a membrane," J. Fluid Mech. 110, 349 (1981).
17. D. K. Schwartz, C. M. Knobler, and R. Bruinsma, "Dierct observation of Langmuir monolayer flow through a channel," Phys. Rev.Lett. 73, 2841 (1994).
18. H. A. Stone, "Fluid motion of monolecular films in a channel flow geometry," Phys. Fliuds (in press).
19. A. O. Tsebers and M. M. Maiorov, "Magnetostatic instabilities in plane layers of magnetizable liquids," Magnetohydrodynamics 16, 21 (1980).
20. A. O. Tsebers and A. A. Zermitis, "Numerical simulation of MHD instability in the free surface of a gripped drop of magnetic liqiud. Part 1." Magnetohydrodynamics 19, 360 (1983).
21. S. A. Langer, R. E. Goldstein and D. P. Jackson, "Dynamics of labyrinthine pattern formation in magnetic fliuds," Phys. Rev. A 46, 4894 (1992)
22. A. J. Dickstein, S. Erramilli, R. E. Goldstein, D. P. Jackson, and S. A. Langer, "Labyrinthine pattern formation in amgnetic fluids," Science 261, 1012 (1993).
23. D. P. Jackson, R. E. Goldstein, and A. O. Cebers, "Hydrodyanmics of fingering instabilities in dispolar fluids," Phys. Rev. E 50, 298 (1994).
24. T. Chou and D. R. Nelson, ~"Surface wave scattering at nonuniform fluid interfaces," J. Chem. Phys. 101, 9022 (1994); T. Chou, S. K. Lucas, and H. A. Stone, "Capillary wave scattering from a surfactant domian," Phys. Fluids A 7, 1872 (1995).
25. T. Chou and D. R. Nelson, ~"Surface wave scattering at nonuniform fluid interfaces," J. Chem. Phys. 101, 9022 (1994); T. Chou, S. K. Lucas, and H. A. Stone, "Capillary wave scattering from a surfactant domian," Phys. Fluids A 7, 1872 (1995).
26. C. Pozrikids, Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge University Press, Cambridge, 1992).
27. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (oxford University Press, Oxford, 1986).
28. 9,12 It is not usually possible, however, to measure the compressibility of the considerably less dense gas-like phases that are present in some experimental systems, so one can legitimately question whether it is valid to treat them as incompressible.
29. P. G. Saffman, "Brownian motion in thin sheets of viscous fluid," J. Fluid Mech. 73, 593 (1976).
30. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), pp. 43-44.
31. J. F. Klinger and H. M. McConnell, "Brownian motion and fluid mechanics of lipid monolayer domains," J. Phys. Chem. 97, 6096 (1993).
32. J. F. Klinger and H. M. McConnell, "Field-gradient electrophoresis of lipid domains," J. Phys. Chem. 97, 2962 (1993).
33. M. J. Lightnill, Introduction to Fourier Analysis and Generalised Functions (Cambridge University Press, Cambridge, 1958).
34. D. S. Jones, The Theory of Generalised Functions, 2nd ed (Cambridge University Press, Cambridge, 1982).
35. H. Hasimoto and O. Sano, "Stokeslets and eddies in creeping flow," Annu. Rev. Fluid Mech. 12, 335 (1980).
36. I. D. Howells, "Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed objects," J. Fluid Mech. 64, 449 (1974).
37. H. A. Stone (personal communication).
38. D. J. Keller, J. P. Korb, and H. M. McConnell, "Theory of shape transitions in two-dimensional phospholipid domains," J. Phys. Chem. 91, 6417 (1987).
39. A. O. Cebers, "Labyrinthine structures of magnetic fluids and their electrostatic analogs," Magnetohydrodynamics 25, 149 (1989).
40. H. M. McConnell, "Harmonic shape transitions in lipid monolayer domains," J. Phys. Chem. 94, 4728 (1990).
41. J. M. Deutch and F. E. Low, "Theory of shape transitions of twodimensional domains," J. Phys. Chem. 96, 7097 (1992).
42. D. K. Lubensky (unpublished).
43. N. L. Jarvis, "Surface viscosity of polydimelhylsiloxane monolayers," J. Phys. Chem. 70, 3027 (1966).
44. M. Sacchetti, H. Yu, and G. Zografi, "Hydrodynamic coupling of monolayers with subphase," J. Chem. Phys. 99, 563 (1993).
45. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products (Academic Press, San Diego, 1965).