标题： 三维随机格点上的伊辛模型：蒙特卡洛研究 显示英文标题

标题： Ising model on 3D random lattices: A Monte Carlo study

摘要： 我们报告了在三维泊松随机格点上的伊辛模型的单集群蒙特卡洛模拟，这些格点最多包含约128,000个近似50³个节点，并根据Voronoi/Delaunay规则连接在一起。对于每种晶格尺寸，我们在96次实现中进行了淬火平均。通过使用重加权技术和有限尺寸尺度分析，我们在相变点附近研究了该模型的临界性质。我们的随机格点数据提供了有力的证据，表明对于可用的系统尺寸，得到的有效临界指数与最近在三维正则立方格点上蒙特卡洛研究中得到的高精度估计值几乎无法区分，无论是针对伊辛模型还是\phi ^4 场论。 显示英文摘要

摘要： We report single-cluster Monte Carlo simulations of the Ising model on three-dimensional Poissonian random lattices with up to 128,000 approx. 503 sites which are linked together according to the Voronoi/Delaunay prescription. For each lattice size quenched averages are performed over 96 realizations. By using reweighting techniques and finite-size scaling analyses we investigate the critical properties of the model in the close vicinity of the phase transition point. Our random lattice data provide strong evidence that, for the available system sizes, the resulting effective critical exponents are indistinguishable from recent high-precision estimates obtained in Monte Carlo studies of the Ising model and \phi^4 field theory on three-dimensional regular cubic lattices.