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Volumn 63, Issue 6, 2001, Pages

Topography and instability of monolayers near domain boundaries

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; ELASTICITY; INTEGRATION; PHASE INTERFACES; PHOSPHOLIPIDS; STABILITY; SURFACE ACTIVE AGENTS; SURFACE TENSION; SURFACE TOPOGRAPHY;

EID: 0035364486     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.061602     Document Type: Article
Times cited : (61)

References (64)
  • 1
    • 4344718611 scopus 로고
    • W. M. Gelbart, A. Ben-Shaul, and D. Roux Springer-Verlag, New York
    • Micelles, Membranes, Microemulsions, and Monolayers, edited by W. M. Gelbart, A. Ben-Shaul, and D. Roux (Springer-Verlag, New York, 1989).
    • (1989) Micelles, Membranes, Microemulsions, and Monolayers
  • 34
    • 85035297749 scopus 로고    scopus 로고
    • One can just as well consider also differing bending moduli of the two domains 23. The resulting expressions are more cumbersome with essentially the same physics. For brevity we consider in the current paper a single, uniform bending modulus K
    • One can just as well consider also differing bending moduli of the two domains 23. The resulting expressions are more cumbersome with essentially the same physics. For brevity we consider in the current paper a single, uniform bending modulus K.
  • 35
    • 85035263823 scopus 로고    scopus 로고
    • The exact relation between the applied lateral pressure and surface tension in a nonflat monolayer is a subtle issue 8. In this paper we bypass it by referring to the tension (Formula presented) alone, bearing in mind that it must decrease upon increasing pressure
    • The exact relation between the applied lateral pressure and surface tension in a nonflat monolayer is a subtle issue 8. In this paper we bypass it by referring to the tension (Formula presented) alone, bearing in mind that it must decrease upon increasing pressure.
  • 36
    • 85035288219 scopus 로고    scopus 로고
    • We do not consider fluctuations of the surface; its equilibrium shape is thus given by the minimum of the elastic energy. This “zero-temperature” assumption is well justified in the current case, as will be demonstrated in Sec. VII
    • We do not consider fluctuations of the surface; its equilibrium shape is thus given by the minimum of the elastic energy. This “zero-temperature” assumption is well justified in the current case, as will be demonstrated in Sec. VII.
  • 37
    • 85035289206 scopus 로고    scopus 로고
    • We ignore in this paper the possibility of a sharp change in slope, a crease, at the contact line. Such a crease would alter some of our quantitative conclusions. Though such creases are consistent with the symmetry of the system, we know of no estimate of their magnitude
    • We ignore in this paper the possibility of a sharp change in slope, a crease, at the contact line. Such a crease would alter some of our quantitative conclusions. Though such creases are consistent with the symmetry of the system, we know of no estimate of their magnitude.
  • 38
    • 85035302261 scopus 로고    scopus 로고
    • All of the above results, except for the precise profile [Eq. (7)], hold also for a finite sheet clamped at its ends (i.e., maintaining the boundary conditions of vanishing (Formula presented) and (Formula presented) at both ends)
    • All of the above results, except for the precise profile [Eq. (7)], hold also for a finite sheet clamped at its ends (i.e., maintaining the boundary conditions of vanishing (Formula presented) and (Formula presented) at both ends).
  • 39
    • 85035290197 scopus 로고    scopus 로고
    • Here the bare line tension (Formula presented) is assumed to contain all the energetic contributions proportional to the boundary length, including both short-range and electrostatic interactions; see also Ref. 45
    • Here the bare line tension (Formula presented) is assumed to contain all the energetic contributions proportional to the boundary length, including both short-range and electrostatic interactions; see also Ref. 45.
  • 40
    • 85035289478 scopus 로고    scopus 로고
    • Note again that the relevance of this instability relies on the nonlinearity of our calculation. In a linearized theory (assuming (Formula presented) one would get for the reduction in line tension (Formula presented), which could not compete with the bare line tension (Formula presented)
    • Note again that the relevance of this instability relies on the nonlinearity of our calculation. In a linearized theory (assuming (Formula presented) one would get for the reduction in line tension (Formula presented), which could not compete with the bare line tension (Formula presented).
  • 64
    • 85035261427 scopus 로고    scopus 로고
    • See, e.g., Ref. 2, Chap. 1
    • See, e.g., Ref. 2, Chap. 1.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.