Surface dynamics of a freely standing smectic-[Formula Presented] film

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 5, 1998, Pages 5639-5643

  Chen, Hsuan Yi ^a   Jasnow, David ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005322354     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5639     Document Type: Article

References (18)

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2. D. Dash and X.L. Wu, Phys. Rev. Lett. 79, 1483 (1997).PRLTAO
3. E.A.L. Mol, J.D. Shindler, A.N. Shalaginov, and W.H. de Jeu, Phys. Rev. E 54, 536 (1995); PLEEE8
4. A. Poniewierski and R. Hołyst, Phys. Rev. B 47, 9840 (1993), and references therein.PRBMDO
5. E.A.L. Mol, G.C.L. Wong, J.M. Petit, F. Rieutord, and W.H. de Jeu, Phys. Rev. Lett. 79, 3439 (1997). In this work static in-plane correlations of a smectic-A film were examined over a range of wave numbers. At sufficiently short wavelength, approaching molecular dimensions, deviations from “undulatory” behavior were observed.PRLTAO
6. D. Langevin, in Light Scattering by Liquid Surfaces and Complementary Techniques, edited by D. Langevin (Dekker, New York, 1992); J. G. H. Joosten, in Thin Liquid Films, edited by I. B. Ivanov (Dekker, New York, 1988).
7. See, for example, F. Brochard, and J.F. Lennon, J. Phys. (Paris) 36, 1035 (1975), where the thermal fluctuations of the thickness of red blood cells were studied. The free energy associated with deformations involved only the squared curvature of the bounding membranes ∼(∇⊥2u)2, with u the membrane displacement. Further, the interior of the cell was treated as a simple fluid.JOPQAG
8. A. Böttger and J.G.H. Joosten, Europhys. Lett. 4, 1297(1987).EULEEJ
9. J.B. Fournier, J. Phys. II 6, 985 (1996).JPAHER
10. P.C. Martin, O. Parodi, and P.S. Pershan, Phys. Rev. A 6, 2401 (1972).PLRAAN
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12. Orsay Group on Liquid Crystals, J. Phys. (Paris) Colloq. 36, C1-305 (1975).JPQCAK
13. The viscosity coefficient η3 is defined in Ref. 9. In their notation, η′=η1+η2-4η3-2η5+η4.
14. See, for example, Light Scattering by Liquid Surfaces and Complementary Techniques (Ref. 5), Chap. 2, for an introduction to surface light scattering experiments.
15. A. Rapini, Can. J. Phys. 53, 968 (1975).CJPHAD
16. M. Kléman, Points, Lines, and Walls (Wiley, New York, 1983)
17. M. Kléman and O. Parodi, J. Phys. (Paris) 36, 617 (1975).JOPQAG
18. In Kléman’s notation, the permeation force on the surface is the vector S (defined in Ref. 15), which happens to be B(∂u/∂z) when the normal to the surface is in the z direction. The torque acting on the surface is always zero in the system under consideration.