College of Engineering, Shibaura Institute of Technology, Saitama 337-8570, Japan.
Phys Rev E. 2016 Jan;93(1):011301. doi: 10.1103/PhysRevE.93.011301. Epub 2016 Jan 8.
We propose a change of style for numerical estimations of physical quantities from measurements to inferences. We estimate the most probable quantities for all the parameter region simultaneously by using the raw data cooperatively. Estimations with higher precisions are made possible. We can obtain a physical quantity as a continuous function, which is processed to obtain another quantity. We applied the method to the Heisenberg spin-glass model in three dimensions. A dynamic correlation-length scaling analysis suggests that the spin-glass and the chiral-glass transitions occur at the same temperature with a common exponent ν. The value is consistent with the experimental results. We explained a spin-chirality separation problem by a size-crossover effect.
我们提出将物理量的数值估计从测量转变为推断的风格改变。我们通过协作使用原始数据同时对所有参数区域的最可能数量进行估计。这使得更高精度的估计成为可能。我们可以获得一个物理量作为连续函数，然后对其进行处理以获得另一个物理量。我们将该方法应用于三维海森堡自旋玻璃模型。动态关联长度标度分析表明，自旋玻璃和手性玻璃转变在相同温度下发生，具有共同的指数 ν。该值与实验结果一致。我们通过尺寸交叉效应解释了自旋手性分离问题。
