On thermodynamic observables and the Anderson model
On thermodynamic observables and the Anderson model
复制标题
关于热力学可观测量和安德森模型
DOI：
10.1088/0305-4470/15/12/038
复制
发表时间：
1982
期刊：
影响因子：
--
通讯作者：
J. Hemmen
中科院分区：
文献类型：
--
作者：
J. Hemmen
热力学观测值在体积分解下近似为可加性。这一性质与无序系统特别相关。如果按系统(N)的大小进行缩放，则热力学可观测值以概率1收敛于N到无穷时的非随机极限，因为可以应用遍历定理。作者提出了一个简单的论点来证明安德森模型中的态密度是一个热力学观测值。讨论了对角无序和非对角无序，并指出了它们与复制方法的关系。
A thermodynamic observable is approximately additive under the decomposition of the volume. This property is of particular relevance to disordered systems. If scaled by the size of the system (N) a thermodynamic observable converges with probability one to a non-random limit as N to infinity inasmuch as one may apply the ergodic theorem. The author presents a simple argument to prove that the density of states in the Anderson model is a thermodynamic observable. Both diagonal and off-diagonal disorder are discussed, and the relation to the replica method is indicated.