Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-06-22
Physical Review B1 61, 11521(2000)
Physics
Condensed Matter
Disordered Systems and Neural Networks
10 pages, 4 figures
Scientific paper
10.1103/PhysRevB.61.11521
The q-state Potts model with long-range interactions that decay as 1/r^alpha subjected to an uniform magnetic field on d-dimensional lattices is analized for different values of q in the nonextensive regime (alpha between 0 and d). We also consider the two dimensional antiferromagnetic Ising model with the same type of interactions. The mean field solution and Monte Carlo calculations for the equations of state for these models are compared. We show that, using a derived scaling which properly describes the nonextensive thermodynamic behaviour, both types of calculations show an excellent agreement in all the cases here considered, except for alpha=d. These results allow us to extend to nonextensive magnetic models a previous conjecture which states that the mean field theory is exact for the Ising one.
Cannas Sergio A.
de Magalhaes Aglae C. N.
Tamarit Francisco A.
No associations
LandOfFree
Evidence of exactness of the mean field theory in the nonextensive regime of long-range spin models 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 Evidence of exactness of the mean field theory in the nonextensive regime of long-range spin models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evidence of exactness of the mean field theory in the nonextensive regime of long-range spin models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-386431