弱边界条件对Ising模型谱缝隙的影响

Influence of Weak Boundary Conditions on the Spectral Gap of Ising Model

讨论了弱边界条件对Ising模型谱缝隙的影响程度.在二维有限正方形整点上,对于低温状态下无外场的Ising模型,给出了其谱缝隙的范围值.主要利用对自由边界Ising模型的研究方法来对弱边界条件的Ising模型谱缝隙进行估计.

The influence of weak boundary conditions on the spectral gap of Ising model is studied. Suppose that the model is in the absence of an external field and at. Low temperature, we give a bound for the spectral gap of Ising model on a two dimensional finite square. The methods of studying Ising model with free boundary conditions are used in the work of this paper.