Critical Behavior of a Three-State Potts Model on a Voronoi Lattice

Details Critical Behavior of a Three-State Potts Model on a Voronoi Lattice Critical Behavior of a Three-State Potts Model on a Voronoi Lattice

2000-08-18

arxiv.org/abs/cond-mat/0008285v1

Eur. Phys. J. B 17 (2000) 111-114

Physics

Condensed Matter

Statistical Mechanics

3 pages, 5 figures

Scientific paper

10.1007/s100510070165

We use the single-histogram technique to study the critical behavior of the three-state Potts model on a (random) Voronoi-Delaunay lattice with size ranging from 250 to 8000 sites. We consider the effect of an exponential decay of the interactions with the distance,$J(r)=J_0\exp(-ar)$, with $a>0$, and observe that this system seems to have critical exponents $\gamma$ and $\nu$ which are different from the respective exponents of the three-state Potts model on a regular square lattice. However, the ratio $\gamma/\nu$ remains essentially the same. We find numerical evidences (although not conclusive, due to the small range of system size) that the specific heat on this random system behaves as a power-law for $a=0$ and as a logarithmic divergence for $a=0.5$ and $a=1.0$

Affiliated with

Also associated with

No associations

Rating

Critical Behavior of a Three-State Potts Model on a Voronoi Lattice 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 Critical Behavior of a Three-State Potts Model on a Voronoi Lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical Behavior of a Three-State Potts Model on a Voronoi Lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125611