vix.ing · top · new · best · stats · spec

On the transition from crystalline to dynamically triangulated random surfaces

1993/08/06 by Neil Ferguson, J.F. Wheater, J. F. Wheater
Mathematics · Physics and Astronomy · #Geometric and Algebraic Topology #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1016/0370-2693(93)90788-j

published as Phys.Lett. B319 (1993) 104-109 · 6 pages plain TeX and 5 encapsulated postscript figures, OUTP-93/17P

arxiv created 1993/08/06 · openalex publication_date 1993/12/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider methods of interpolating between the crystalline and dynamically triangulated random surface models. We argue that actions based on the deviation from six of the coordination number at a site are inadequate and propose an alternative based on Alexander moves. Two simplified models, one of which has a phase transition and the other of which does not, are discussed.

Citations