Three-dimensional gonihedric spin system

Details Three-dimensional gonihedric spin system Three-dimensional gonihedric spin system

2001-11-30

arxiv.org/abs/cond-mat/0111590v3

Mod.Phys.Lett. A17 (2002) 751

Physics

Condensed Matter

11 pages, 10 figures, shortened version

Scientific paper

10.1142/S0217732302006965

We perform Monte Carlo simulations of a three-dimensional spin system with a Hamiltonian which contains only four-spin interaction term. This system describes random surfaces with extrinsic curvature - gonihedric action. We study the anisotropic model when the coupling constants $\beta_S$ for the space-like plaquettes and $\beta_T$ for the transverse-like plaquettes are different. In the two limits $\beta_S=0$ and $\beta_T=0$ the system has been solved exactly and the main interest is to see what happens when we move away from these points towards the isotropic point, where we recover the original model. We find that the phase transition is of first order for $\beta_T = \beta_S \approx 0.25,$ while away from this point it becomes weaker and eventually turns to a crossover. The conclusion which can be drown from this result is that the exact solution at the point $\beta_S =0$ in terms of 2d-Ising model should be considered as a good zero order approximation in the description of the system also at the isotropic point $\beta_S =\beta_T$ and clearly confirms the earlier findings that at the isotropic point the original model shows a first order phase transition.

Affiliated with

Also associated with

No associations

Rating

Three-dimensional gonihedric spin system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Three-dimensional gonihedric spin system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three-dimensional gonihedric spin system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577496