Ron Dorit, Brandt Achi, Swendsen Robert H
Faculty of Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel.
Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.
Phys Rev E. 2021 Aug;104(2-2):025311. doi: 10.1103/PhysRevE.104.025311.
We present a simple approach to high-accuracy calculations of critical properties for the three-dimensional Ising model, without prior knowledge of the critical temperature. The iterative method uses a modified block-spin transformation with a tunable parameter to improve convergence in the Monte Carlo renormalization group trajectory. We found experimentally that the iterative method enables the calculation of the critical temperature simultaneously with a critical exponent.
我们提出了一种简单的方法，用于对三维伊辛模型的临界性质进行高精度计算，且无需事先知晓临界温度。该迭代方法采用了一种带有可调参数的修正块自旋变换，以改善蒙特卡罗重整化群轨迹中的收敛性。我们通过实验发现，该迭代方法能够在计算临界指数的同时计算出临界温度。
