Fixed-Connectivity Membranes

Abstract

The statistical mechanics of flexible surfaces with internal elasticity and shape fluctuations is summarized. Phantom and self-avoiding isotropic and anisotropic membranes are discussed, with emphasis on the universal negative Poisson ratio common to the low-temperature phase of phantom membranes and all strictly self-avoiding membranes in the absence of attractive interactions. The study of crystalline order on the frozen surface of spherical membranes is also treated.

Chapter 11 in "Statistical mechanics of Membranes and Surfaces", ed. by D.R. Nelson, T. Piran and S. Weinberg (World Scientific, Singapore, 2004); 25 pages with 26 figures (high resolution figures available from author)

References in corpus (1)

• The Statistical Mechanics of Membranes

Cited by in corpus (4)

• Grand Canonical simulations of string tension in elastic surface model
• Monte Carlo simulations of Landau-Ginzburg model for membranes
• Phase structure of intrinsic curvature models on dynamically triangulated disk with fixed boundary length
• Dependence of the surface tension on the shape of surface boundary