A simple study of the correlation effects in the superposition of waves of electric fields: the emergence of extreme events

In this paper, we study the effects of correlated random phases in the intensity of a superposition of \(N\) wave-fields. Our results suggest that regardless of whether the phase distribution is continuous or discrete if the phases are random correlated variables, we must observe a heavier tail dist...

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Bibliographic Details
Published inarXiv.org
Main Authors da Silva, Roberto, Prado, Sandra D
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.11.2019
Subjects
Complex systems
Correlation analysis
Electric fields
Emergence
Extreme values
Nonlinear systems
Phase distribution
Phases
Random variables
Statistics - Applications
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Summary:In this paper, we study the effects of correlated random phases in the intensity of a superposition of \(N\) wave-fields. Our results suggest that regardless of whether the phase distribution is continuous or discrete if the phases are random correlated variables, we must observe a heavier tail distribution and the emergence of extreme events as the correlation between phases increases. We believe that such a simple method can be easily applied in other situations to show the existence of extreme statistical events in the context of nonlinear complex systems.
ISSN:2331-8422
DOI:10.48550/arxiv.1911.00827