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RESEARCH PRODUCT

Strongly super-Poisson statistics replaced by a wide-pulse Poisson process: The billiard random generator

Davide ValentiO. A. Chichigina

subject

PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStochastic processGeneral MathematicsApplied MathematicsGeneral Physics and AstronomySpectral densityStatistical and Nonlinear PhysicsPoisson distributionRenewal processPulse (physics)symbols.namesakeBilliard-like systemsStochastic processessymbolsHardware random number generatorFluctuation phenomenaStatistical physicsRenewal theoryHardware random number generatorDynamical billiardsSuper-Poisson statisticsGenerator (mathematics)

description

Abstract In this paper we present a study on random processes consisting of delta pulses characterized by strongly super-Poisson statistics and calculate its spectral density. We suggest a method for replacing a strongly super-Poisson process with a wide-pulse Poisson process, while demonstrating that these two processes can be set in such a way to have similar spectral densities, the same mean values, and the same correlation times. We also present a billiard system that can be used to generate random pulse noise of arbitrary statistical properties. The particle dynamics is considered in terms of delta and wide pulses simultaneously. The results of numerical experiments with the billiard system are in a good agreement with the analytical findings.

yearjournalcountryeditionlanguage
2021-12-01Chaos, Solitons & Fractals
https://doi.org/10.1016/j.chaos.2021.111451