Strongly super-Poisson statistics replaced by a wide-pulse Poisson process: the billiard random generatorстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 26 января 2022 г.
Аннотация:In this paper we present a study on random processes consisting ofdelta pulses characterized by strongly super-Poisson statistics andcalculate its spectral density. We suggest a method for replacing astrongly super-Poisson process with a wide-pulse Poisson process,while demonstrating that these two processes can be set in such away to have similar spectral densities, the same mean values, and thesame correlation times. We also present a billiard system that can beused to generate random pulse noise of arbitrary statisticalproperties. The particle dynamics is considered in terms of deltaand wide pulses simultaneously. The results of numerical experimentswith the billiard system are in a good agreement with the analyticalfindings.