The Elastic Continuum Limit of the Tight Binding Model

The authors consider the simplest quantum mechanics model of solids,the tight binding model,and prove that in the continuum limit,the energy of tight binding model converges to that of the continuum elasticity model obtained using Cauchy-Born rule.The technique in this paper is based mainly on spectral perturbation theory for large matrices.     

对聚合物玻璃化转变的几点新认识

基于聚合物玻璃化转变的定义,探讨了聚合物宏观单晶体和聚合物单链单晶的玻璃化转变问题,指出玻璃化转变的温度依赖性不服从普适的Arrhenius方程,可以把WLF方程看作是聚合物玻璃化转变的特有温度依赖关系。介绍了二维状态下聚合物可能的玻璃化转变。