Statistics of atmospheric correlations

M. S. Santhanam and Prabir K. Patra
Phys. Rev. E 64, 016102 – Published 11 June 2001
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Abstract

For a large class of quantum systems, the statistical properties of their spectrum show remarkable agreement with random matrix predictions. Recent advances show that the scope of random matrix theory is much wider. In this work, we show that the random matrix approach can be beneficially applied to a completely different classical domain, namely, to the empirical correlation matrices obtained from the analysis of the basic atmospheric parameters that characterize the state of atmosphere. We show that the spectrum of atmospheric correlation matrices satisfy the random matrix prescription. In particular, the eigenmodes of the atmospheric empirical correlation matrices that have physical significance are marked by deviations from the eigenvector distribution.

  • Received 19 December 2000

DOI:https://doi.org/10.1103/PhysRevE.64.016102

©2001 American Physical Society

Authors & Affiliations

M. S. Santhanam* and Prabir K. Patra

  • IBM-Research, India Research Laboratory, Block-1, Indian Institute of Technology, New Delhi 110 016, India

  • *Email address: msanthan@in.ibm.com
  • Present address: Frontier Research System for Global Change, Kanazawa, Yokohama 236-0001, Japan. Email address: prabir@jamstec.go.jp

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Issue

Vol. 64, Iss. 1 — July 2001

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