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 language | English |
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Pages (from-to) | 180-186 |
Number of pages | 7 |
Journal | Physics Letters B |
Volume | 585 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 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