Critical behavior of a three-state Potts model on a Voronoi lattice
Critical behavior of a three-state Potts model on a Voronoi lattice
复制标题
Voronoi 晶格上三态 Potts 模型的临界行为
DOI：
--
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
J. S. Andrade Jr.
中科院分区：
文献类型：
--
作者：
F. Lima;U. Costa;M. P. Almeida;J. S. Andrade Jr.
我们使用单直方图技术研究了三态Potts模型在（随机）Voronoi-Delaunay晶格上的临界行为，其大小范围从250到8000个位点。我们考虑了相互作用的指数衰减与距离的影响，J(r) = J0 exp (-ar)，并观察到该系统似乎具有临界指数γ和ν，它们不同于规则方形晶格上三态波茨模型的各自指数。然而，γ/ν的比值基本保持不变。我们发现数值证据（虽然不是结论性的，由于系统大小的小范围），在这个随机系统上的比热表现为幂律为a=0和作为对数散度为a=0.5和a=1.0
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 8 000 sites. We consider the effect of an exponential decay of the interactions with the distance, J(r) = J0 exp (-ar), with a > 0, and observe that this system seems to have critical exponents γ and ν which are different from the respective exponents of the three-state Potts model on a regular square lattice. However, the ratio γ/ν 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