1995/11/30 by Julian Borrill · 1 citation
Computer Science · Physics and Astronomy · #Cellular Automata and Applications #Scientific Research and Discoveries #Theoretical and Computational Physics #astro-ph #hep-ph
paper · pdf · doi:10.1103/physrevlett.76.3255
published as Phys.Rev.Lett. 76 (1996) 3255-3258 · 9 pages ReVTeX, 1 Postscript figure, minor changes for publication
openalex publication_date 1996/04/29 · arxiv created 1996/05/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Lattice-based string formation algorithms can, at least in principle, be reduced to the study of the statistics of the corresponding aperiodic random walk. Since in three or more dimensions such walks are transient, this approach necessarily generates a population of open strings. To investigate whether open strings are an artifact of the lattice we develop an alternative lattice-free simulation of string formation. Replacing the lattice with a graph generated by a minimal dynamical model of a first-order phase transition we obtain results consistent with the hypothesis that the energy density in string is due to a scale-invariant Brownian distribution of closed loops alone.