Weighted averages and order parameters for the infinite range Ising spin glass
Weighted averages and order parameters for the infinite range Ising spin glass
复制标题
无限范围伊辛自旋玻璃的加权平均值和顺序参数
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
A. Young
中科院分区：
文献类型：
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作者：
C. Dominicis;A. Young
谢林顿-柯克帕特里克自旋玻璃模型（1975）通过复制品和分析Thouless， Anderson和Palmer (TAP)（1977）的平均场方程进行了研究。证明了统计力学定义的标准阶参数由矩阵qα β的所有非对角线分量的平均值给出。因此没有涨落耗散定理的违反。他们描述了如何对TAP方程的不同解进行加权，并认为解简并没有熵。这个假设被证明是内部一致的。一个解的自旋期望值的平方，在解上的平均值，显示为q(1)，如果它们对qalpha - beta进行parisii - sompolinsky ansatz。
The Sherrington-Kirkpatrick spin glass model (1975) is studied by replicas and by analysing the mean field equations of Thouless, Anderson and Palmer (TAP) (1977). The authors show that the standard order parameter defined by statistical mechanics is given by the average of all off-diagonal components of the matrix qalpha beta . There is consequently no violation of the fluctuation dissipation theorem. They describe how to weight the different solutions of the TAP equations and argue that there is no entropy from solution degeneracy. This assumption is shown to be internally consistent. The square of a spin expectation value for a solution, averaged over solutions, is shown to be q(1) if they make the Parisi-Sompolinsky ansatz for qalpha beta .