论文标题
一个自组织批判性的平面模型
A planar Ising model of self-organized criticality
论文作者
论文摘要
我们考虑有限的平方盒中的平面ising模型，并根据磁化的函数替换温度参数。这将创建从旋转配置到参数的反馈，该参数将系统驱动到临界点。使用ARXIV的有限尺寸缩放结果：0811.4507，我们表明，当盒子的尺寸生长到无穷大时，温度将集中在平方晶格上平面伊斯林模型的临界温度周围。
We consider the planar Ising model in a finite square box and we replace the temperature parameter with a function depending on the magnetization. This creates a feedback from the spin configuration onto the parameter, which drives the system towards the critical point. Using the finite-size scaling results of arXiv:0811.4507, we show that, when the size of the box grows to infinity, the temperature concentrates around the critical temperature of the planar Ising model on the square lattice.
