三角晶格Ising模型Monte Carlo模拟的GPU加速算法

GPU Accelerated Monte Carlo Algorithm of Ising Model on Triangular Lattice

在分析传统Monte Carlo算法的基础上,针对三角晶格Ising模型提出了一种基于GPU的并行模拟方法,大大提高了算法的效率。对1 024×1 024的模型,实现了69倍的加速比。通过该算法所得数据分析模型的临界行为,获得了高精度的临界点βc=0.274 66(1)和临界指数yt=1.01(2),yh=1.875 6(3)。

In the statistical model,the efficiency of most Monte Carlo algorithm reduces quickly near the critical point.In the analysis of traditional local algorithms,a GPU-based parallel simulation algorithm on the triangular lattice Ising model,which greatly improves the efficiency of the Monte Carlo simulation,is raised.For the model with the size of 1 024×1 024,a speedup of 69 is achieved.Besides,the critical behavior is analyzed,a high-precision critical point(βc=0.274 66(1)) and critical exponents(yt= 1.01(2),yh= 1.875 6(3)) of triangular lattice Ising model are obtained,which implies the effectiveness of the GPU algorithm.