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The Dual Gonihedric 3D Ising Model
- Source :
- J. Phys. A: Math. Theor. 44 (2011) 295004
- Publication Year :
- 2011
-
Abstract
- We investigate the dual of the kappa=0 Gonihedric Ising model on a 3D cubic lattice, which may be written as an anisotropically coupled Ashkin-Teller model. The original kappa=0 Gonihedric model has a purely plaquette interaction, displays a first order transition and possesses a highly degenerate ground state. We find that the dual model admits a similar large ground state degeneracy as a result of the anisotropic couplings and investigate the coupled mean field equations for the model on a single cube. We also carry out Monte Carlo simulations which confirm a first order phase transition in the model and suggest that the ground state degeneracy persists throughout the low temperature phase. Some exploratory cooling simulations also hint at non-trivial dynamical behaviour.<br />Comment: 17 pages, 12 figures
- Subjects :
- Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Phys. A: Math. Theor. 44 (2011) 295004
- Publication Type :
- Report
- Accession number :
- edsarx.1104.3224
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8113/44/29/295004