Freezing of Triangulations
J-P. Kownacki
TL;DR
This paper investigates the zero-temperature dynamics of 2D triangulations on a torus with curvature energy, revealing that the system tends to freeze into metastable states with defect clusters, possibly linked to baby universe structures.
Contribution
It introduces a model of triangulation dynamics at zero temperature and suggests a connection between freezing and the high-temperature structure of baby universes.
Findings
System tends to freeze into metastable states with defect clusters
Freezing is possibly related to the high-temperature structure of baby universes
Numerical simulations support the metastability and defect clustering phenomena
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.