Fixed boundary conditions analysis of the 3d gonihedric Ising model with κ = 0

M. Baig, J. Clua, D. A. Johnston, R. Villanova

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The gonihedric Ising model is a particular case of the class of models defined by Savvidy and Wegner intended as discrete versions of string theories on cubic lattices. In this Letter we perform a high statistics analysis of the phase transition exhibited by the 3d gonihedric Ising model with k=0 in the light of a set of recently stated scaling laws applicable to first order phase transitions with fixed boundary conditions. Even though qualitative evidence was presented in a previous paper to support the existence of a first order phase transition at k=0, only now are we capable of pinpointing the transition inverse temperature at ßc=0.54757(63) and of checking the scaling of standard observables. © 2004 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)180-186
Number of pages7
JournalPhysics Letters B
Volume585
Issue number1-2
DOIs
Publication statusPublished - 8 Apr 2004

Keywords

  • 05.10.-a
  • 05.50.+q
  • 05.70.Fh
  • 75.10.Hk
  • Fixed boundary conditions
  • Gonihedric models
  • Phase transitions
  • Spin systems

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