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Modified Skellam, Poisson and Gaussian distributions in semi-open systems at charge-like conservation law

2018/05/10 by Yuri Sinyukov, Sinyukov, Yuri
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Cosmology and Gravitation Theories #Data Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Statistics and Probability (physics.data-an) #hep-ph #nucl-th #physics.data-an

paper · pdf · doi:10.48550/arxiv.1805.03884

13 pages, 9 figures

arxiv created 2018/05/10 · openalex publication_date 2018/05/10 · arxiv updated 2018/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A modification of the Skellam and Poisson distributions is proposed for subsystems when the constraints imposed by the charge conservation law in the complete system are taken into account. Such distributions can be applied, for example, for an analysis of the fluctuations of baryon and net baryon numbers in certain pseudo-rapidity interval in A+A and p+p collisions with high multiplicities. The presented modified Skellam, Poisson and Gaussian distributions can be utilized also in various branches of science, when one studies the fluctuations of the two variables related to a subsystem, as well as the distribution of the difference of these variables, while the mentioned difference in the total system is fixed.

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