Freezing of Triangulations

Abstract

Zero temperature dynamics of two dimensional triangulations of a torus with curvature energy is described. Numerical simulations strongly suggest that the model get frozen in metastable states, made of topological defects on flat surfaces, that group into clusters of same topological charge. It is conjectured that freezing is related to high temperature structure of baby universes.

17 pages, 15 figures. 1 section added on connections between present work and inherent structures ideas; 1 paragraph added in the conclusion; 1 figure added; published version

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Cited by in corpus (6)

• Exploring complex networks via topological embedding on surfaces
• A Topological Glass
• Entropy of unimodular Lattice Triangulations
• Genus dependence of the number of (non-)orientable surface triangulations
• Unimodular lattice triangulations as small-world and scale-free random graphs
• Spectral properties of unimodular lattice triangulations