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

11/03/2019

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by   Roberto da Silva, et al.

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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.