Fixed-Connectivity Membranes
Soft Condensed Matter
2016-11-23 v1
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.
Cite
@article{arxiv.cond-mat/0412581,
title = {Fixed-Connectivity Membranes},
author = {Mark J. Bowick},
journal= {arXiv preprint arXiv:cond-mat/0412581},
year = {2016}
}
Comments
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)