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Volumn 11, Issue 4, 1999, Pages 593-608

Undulation instability of lamellar phases under shear: A mechanism for onion formation?

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EID: 0002600880     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510051187     Document Type: Article
Times cited : (118)

References (43)
  • 3
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    • Statistical Thermodynamics of Surfaces, Interfaces, and Membranes
    • Addison-Wesley, N.Y.
    • S.A. Safran, Statistical Thermodynamics of Surfaces, Interfaces, and Membranes, Frontiers in Physics, Vol. 90 (Addison-Wesley, N.Y., 1994).
    • (1994) Frontiers in Physics , vol.90
    • Safran, S.A.1
  • 8
    • 0030156232 scopus 로고    scopus 로고
    • H.F. Mahjoub, K.M. McGrath, M. Kleman, Langmuir 12, 3131 (1996); H.F. Mahjoub, C. Bourgaux, P. Sergot, M. Kleman, Phys. Rev. Lett. 81, 2076 (1998); O. Diat, D. Roux, Langmuir 11, 1392 (1995).
    • (1996) Langmuir , vol.12 , pp. 3131
    • Mahjoub, H.F.1    McGrath, K.M.2    Kleman, M.3
  • 10
    • 0001164444 scopus 로고
    • H.F. Mahjoub, K.M. McGrath, M. Kleman, Langmuir 12, 3131 (1996); H.F. Mahjoub, C. Bourgaux, P. Sergot, M. Kleman, Phys. Rev. Lett. 81, 2076 (1998); O. Diat, D. Roux, Langmuir 11, 1392 (1995).
    • (1995) Langmuir , vol.11 , pp. 1392
    • Diat, O.1    Roux, D.2
  • 16
    • 85034559222 scopus 로고    scopus 로고
    • D. Sornette, N. Ostrowsky, Chap. 5 in reference [2]
    • D. Sornette, N. Ostrowsky, Chap. 5 in reference [2].
  • 21
    • 85034535205 scopus 로고
    • thesis, Universite de Bordeaux I
    • O. Diat, thesis, Universite de Bordeaux I (1992).
    • (1992)
    • Diat, O.1
  • 26
    • 0000465939 scopus 로고
    • The effect of shear flow on the single membrane undulations, with the velocity gradient within the lamellar planes, is discussed theoretically in: S. Ramaswamy, Phys. Rev. Lett. 69, 112 (1992).
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 112
    • Ramaswamy, S.1
  • 36
    • 85034558967 scopus 로고    scopus 로고
    • note
    • A finite permeation rate could make the response of the system be sensitive to the increment of increase, and to the rate of increase, of the shear rate. However, even in such situations we expect our assumption of zero permeation rate to be correct under certain conditions, for instance, when the shear rate increment (increase) is large. In this case the buckling texture develops fast and relaxes very slowly (via permeation), which makes our analysis useful.
  • 38
    • 85034559805 scopus 로고    scopus 로고
    • note
    • This constraint breaks the rotational invariance even in the absence of shear. This is because even a simple (virtual) rotation away from the initial orientation (parallel to the walls) implies streching of the membranes if the area of projection on the walls (the geometrical projected area) and the total membrane area in each layer are not allowed to change. Note however that simple rotation of the whole phase is in fact not allowed because of the boundary conditions U(0) = U(D) = 0.
  • 39
    • 85034549504 scopus 로고    scopus 로고
    • note
    • co too, as expected.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.