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Numéro
J. Phys. II France
Volume 5, Numéro 8, August 1995
Page(s) 1155 - 1163
DOI https://doi.org/10.1051/jp2:1995174
References of J. Phys. II France 5 1155-1163
  1. See e.g., Lipowsky R., Nature 349 (1991) 475 [CrossRef] [PubMed], Statistical Mechanics of Membranes and Surfaces, D.R. Nelson, T. Piran, and S. Weinberg, Eds. (World Scientific, Singapore, 1989).
  2. See e.g, Micelles, Membranes, Microemulsions, and Monolayers, A. Ben-Shaul, W. Gelbart and D. Roux, Eds. (Springer-Verlag, New York, 1994)
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  13. Helfrich W., Z. Naturforsch. 33a (1978) 305.
  14. The single layer form factor considered was the Fourier transform of a simple square density wave with the membrane thickness $\delta$ fixed at the expected value $\delta = \psi_{m}d$ (where $\psi_{m}$ is the known volume fraction of the membrane). We note that the form factor (which has a first minimum near $2\pi/\delta$) is a smooth decreasing function in the small-angle regime where the structure factor is analysed
  15. The height-height correlation function for the discrete harmonic model used in the numerical work was (see Ref. [17]): $G_{o}(\textrm{r}) = \eta_{1}d^{2}/(2\pi^{2})\int^{\infty}_{0}\textrm{d}x/(x(1 +... ... \{1 - J_{0}((2x)^{1/2}\vert\textrm{r}\vert/\xi)[(1 + x^{2})^{1/2} - x]^{2/3}\}$.
  16. This follows from the definition of $\xi$ and the prediction of the Helfrich theory (Ref. [ 131) that the interlayer compressibility $B = 1.39(\kappa_{\textrm{B}}T)^{2}d/[\kappa(d - \delta)^{4}]$
  17. Lei Ning, Ph.D. Thesis, Physics Department, Rutgers, The State University of New Jersey (1993); Lei N., Safinya C.R and Bruinsma R.F., submitted to Phys. Rev. E.
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