Spectra of euclidean random matrices
Spectra of euclidean random matrices
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DOI：
10.1016/s0550-3213(99)00428-9
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发表时间：
1999-10-25
影响因子：
2.8
通讯作者：
Zee, A
中科院分区：
文献类型：
--
作者：
Mézard, M;Parisi, G;Zee, A
我们研究随机矩阵的谱，其元素取决于空间中随机分布的点之间的欧几里德距离。这个问题在流体的瞬时简正模态背景下得到了广泛研究，并且在玻璃化转变过程中尤其相关。我们通过场论的表示来系统地研究这个问题。通过这种方式，我们可以轻松构造高密度展开，它可以重新产生类似于无序系统的相干势近似的谱近似。 (C) 1999 年由 Elsevier Science B.V. 出版。保留所有权利。
We study the spectrum of a random matrix, whose elements depend on the euclidean distance between points randomly distributed in space. This problem is widely studied in the context of the Instantaneous Normal Modes of fluids and is particularly relevant at the glass transition. We introduce a systematic study of this problem through its representation by a field theory. In this way we can easily construct a high density expansion, which can be resummed producing an approximation to the spectrum similar to the Coherent Potential Approximation for disordered systems. (C) 1999 Published by Elsevier Science B.V. All rights reserved.