Deng Youjin, Blöte Henk W J
Faculty of Applied Sciences, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 2):036125. doi: 10.1103/PhysRevE.68.036125. Epub 2003 Sep 23.
We investigate several three-dimensional lattice models believed to be in the Ising universality class by means of Monte Carlo methods and finite-size scaling. These models include spin-1 / 2 models with nearest-neighbor interactions on the simple-cubic and on the diamond lattice. For the simple cubic lattice, we also include models with third-neighbor interactions of varying strength, and some "equivalent-neighbor" models. Also included are a spin-1 model and a hard-core lattice gas. Separate analyses of the numerical data confirm the Ising-like critical behavior of these systems. On this basis, we analyze all these data simultaneously such that the universal parameters occur only once. This leads to an improved accuracy. The thermal, magnetic, and irrelevant exponents are determined as y(t)=1.5868(3), y(h)=2.4816(1), and y(i)=-0.821(5), respectively. The Binder ratio is estimated as Q=<m(2)>(2)/<m(4)>=0.62 341(4).
我们通过蒙特卡罗方法和有限尺寸标度研究了几个被认为处于伊辛普适类的三维晶格模型。这些模型包括在简单立方晶格和金刚石晶格上具有最近邻相互作用的自旋 - 1/2模型。对于简单立方晶格，我们还包括具有不同强度第三邻相互作用的模型以及一些“等效邻”模型。还包括一个自旋 - 1模型和一个硬核晶格气体。对数值数据的单独分析证实了这些系统类似伊辛的临界行为。在此基础上，我们同时分析所有这些数据，使得普适参数仅出现一次。这提高了精度。热指数、磁指数和无关指数分别确定为y(t)=1.5868(3)、y(h)=2.4816(1)和y(i)= - 0.821(5)。宾德尔比估计为Q = <m(2)>(2)/<m(4)> = 0.62 341(4)。
