Elsevier

Nuclear Physics B

Volume 559, Issue 3, 25 October 1999, Pages 689-701
Nuclear Physics B

Spectra of euclidean random matrices

https://doi.org/10.1016/S0550-3213(99)00428-9Get rights and content

Abstract

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.

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