The effect of thermal fluctuations on Schulman area elasticity

O. Farago, P. Pincus

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


We study the elastic properties of a two-dimensional fluctuating surface whose area density is allowed to deviate from its optimal (Schulman) value. The behavior of such a surface is determined by an interplay between the area-dependent elastic energy, the curvature elasticity, and the entropy. We identify three different elastic regimes depending on the ratio A p/As between the projected (frame) and the saturated areas. We show that thermal fluctuations modify the elastic energy of stretched surfaces (Ap/As > 1), and dominate the elastic energy of compressed surfaces (Ap/As < 1). When Ap - As the elastic energy is not much affected by the fluctuations; the frame area at which the surface tension vanishes becomes smaller than A s and the area elasticity modulus increases.

Original languageEnglish
Pages (from-to)399-408
Number of pages10
JournalEuropean Physical Journal E
Issue number4
StatePublished - 1 Aug 2003
Externally publishedYes

ASJC Scopus subject areas

  • Biotechnology
  • Biophysics
  • General Chemistry
  • General Materials Science
  • Surfaces and Interfaces


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