Statistics of atmospheric correlations

M. S. Santhanam, Prabir K. Patra
2001 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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 characterise the state of atmosphere. We
more » ... 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.
doi:10.1103/physreve.64.016102 pmid:11461326 fatcat:4da447ztnbca5k365h6ffoiy5i