Fixed boundary conditions analysis of the 3d Gonihedric Ising model with $\kappa =0$

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 paper 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 ${\beta }_c=0.54757(63)$ and of checking the scaling of standard observables.

arXiv comment14 pages, 5 tables, 2 figures, uses elsart.cls package

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Cited by in corpus (4)

• Gonihedric (and Fuki-Nuke) Order
• Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual
• The Dual Gonihedric 3D Ising Model
• Foliated order parameter in a fracton phase transition