Heriot-Watt Mathematics Report Series
HWM04-2, 16 Jan 2004
Fixed boundary conditions analysis of the 3d Gonihedric Ising model with $\kappa=0$
M Baig, J Clua, D A Johnston and R Villanova
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.
Google Scholar Search: links, citations and journal (if available)
Contact Details | 2004 Reports Index |
Full Index