Membrane dynamics and structure factor

Anton G. Zilman, Rony Granek

Research output: Contribution to journalArticlepeer-review

68 Scopus citations


We investigate the short time and short scale dynamics of membrane phases. The dynamics of the two point displacement correlator of the membrane is shown to be dominated by the transverse mean-square displacement of a tagged membrane point and to vary with time t as ∼t2/3. As a result, the structure factor of oriented lamellar phases at nearly perpendicular orientations (mean membrane normal parallel to the wavevector k→) decays as a stretched exponential S(k→,t) ∼ e-kzt)2/3 with Γkz ∼ (T/K)1/2 (T/η)kz3. For isotropic systems, angular averaging retains the stretched exponential decay, S(k,t) ∼ e-kt)x, but with α > 2/3 and no longer universal. We also find Γk ∼ kz with z < 3. Agreement with recent experimental results is elucidated.

Original languageEnglish
Pages (from-to)195-204
Number of pages10
JournalChemical Physics
Issue number1-2
StatePublished - 1 Nov 2002
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (all)
  • Physical and Theoretical Chemistry


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