Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany.
Phys Rev E. 2019 Jan;99(1-1):011301. doi: 10.1103/PhysRevE.99.011301.
We use an efficient method that eases the daunting task of simulating dynamics in spin systems with long-range interaction. Our Monte Carlo simulations of the long-range Ising model for the nonequilibrium phase ordering dynamics in two spatial dimensions perform significantly faster than the standard Metropolis approach and considerably more efficiently than the kinetic Monte Carlo method. Importantly, this enables us to establish agreement with the theoretical prediction for the time dependence of domain growth, in contrast to previous numerical studies. This method can easily be generalized to applications in other systems.
我们使用一种高效的方法来简化具有长程相互作用的自旋系统动力学模拟这一艰巨任务。我们对二维非平衡相有序动力学的长程伊辛模型进行的蒙特卡罗模拟比标准的 metropolis 方法快得多,比动力学蒙特卡罗方法效率高得多。重要的是,与以前的数值研究相比,这使得我们能够与关于畴生长时间依赖性的理论预测达成一致。这种方法可以很容易地推广到其他系统的应用中。