https://doi.org/10.1140/epjb/e2004-00143-8
Freezing of triangulations
Laboratoire de Physique Théorique et Modélisation,
CNRS-Université de Cergy-Pontoise, UMR 8089
5, mail Gay-Lussac, Neuville-sur-Oise, 95031 Cergy-Pontoise Cedex, France
Corresponding author: a kownacki@ptm.u-cergy.fr
Received:
7
November
2003
Revised:
6
February
2004
Published online:
28
May
2004
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.
PACS: 61.20. Lc – Time-dependent properties of liquid structure; relaxation / 05.70. Ln – Nonequilibrium and irreversible thermodynamics / 04.60. Nc – Lattice and discrete methods in quantum gravity
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
