Fixed-Connectivity Membranes

Details Fixed-Connectivity Membranes Fixed-Connectivity Membranes

2004-12-21

arxiv.org/abs/cond-mat/0412581v1

Physics

Condensed Matter

Soft Condensed Matter

Chapter 11 in "Statistical mechanics of Membranes and Surfaces", ed. by D.R. Nelson, T. Piran and S. Weinberg (World Scientifi

Scientific paper

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.

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