角面体伊辛模型与玻璃化
The Gonihedric Ising Model and Glassiness
摘要：
角面体3D伊辛模型是晶格自旋模型，其中可以以零能量成本创建+和-自旋之间的平面Peierls边界。与通常的具有最近邻相互作用的3D伊辛模型不同，对Peierls边界的面积进行加权，而是对界面中的边缘或“弯曲”进行加权，这是一个与连续体中边界的固有曲率有关的概念。在这些笔记中，我们遵循一个大致的时间顺序，首先审查的背景下制定的模型，然后移动到澄清的平衡相图通过各种手段，然后调查的非平衡，玻璃态行为的模型。
英文摘要：
The Gonihedric 3D Ising model is a lattice spin model in which planar Peierls boundaries between + and - spins can be created at zero energy cost. Instead of weighting the area of Peierls boundaries as the case for the usual 3D Ising model with nearest neighbour interactions, the edges, or "bends" in an interface are weighted, a concept which is related to the intrinsic curvature of the boundaries in the continuum. In these notes we follow a roughly chronological order by first reviewing the background to the formulation of the model, before moving on to the elucidation of the equilibrium phase diagram by various means and then to investigation of the non-equilibrium, glassy behaviour of the model.
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