The Spectral Form Factor Is Not Self-Averaging
The Spectral Form Factor Is Not Self-Averaging
复制标题
频谱形状因子不是自平均的
DOI：
10.1103/physrevlett.78.2280
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发表时间：
1996
影响因子：
8.6
通讯作者：
R. Prange
中科院分区：
文献类型：
--
作者：
R. Prange
形状因子k（t）是最好地显示随机矩阵理论的非普适准经典偏差的谱统计量。最近对单个光谱的k（t）的估计发现了这种有趣的新效应。假设k（t）是{ital self-averaging}，因此不需要系综平均。我们在这里认为，这种假设有时会失败，对于许多重要的系统，系综平均是必不可少的，看到详细的属性k（t）。在其他系统中，特别是Riemann zeta函数的非平凡零点，可以通过分析单个谱来看到非普适性质。{版权} {美国物理学会}
The form factor, k(t), is the spectral statistic which best displays nonuniversal quasiclassical deviations from random matrix theory. Recent estimations of k(t) for a single spectrum found interesting new effects of this type. It was supposed that k(t) is {ital self-averaging} and thus did not require an ensemble average. We here argue that this supposition sometimes fails and that for many important systems an ensemble average is essential to see detailed properties of k(t). In other systems, notably the nontrivial zeros of Riemann zeta function, it will be possible to see the nonuniversal properties by an analysis of a single spectrum. {copyright} {ital 1997} {ital The American Physical Society}