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Freezing of triangulations

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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.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Modélisation, CNRS-Université de Cergy-Pontoise, UMR 8089 5, mail Gay-Lussac, 95031, Neuville-sur-Oise, Cergy-Pontoise Cedex, France

    J.-P. Kownacki

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  1. J.-P. Kownacki
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Correspondence to J.-P. Kownacki.

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Received: 6 February 2004, Published online: 28 May 2004

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

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Kownacki, JP. Freezing of triangulations. Eur. Phys. J. B 38, 485–494 (2004). https://doi.org/10.1140/epjb/e2004-00143-8

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