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Dominance of statistical fluctuation in the factorial-moment study of chaos in low multiplicity events of high energy collisions

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Abstract

Using Monte Carlo simulation it is shown that in low multiplicity events the single-event factorial moments are saturated by the statistical fluctuations. The diversification of the event-space momentsC p, q of single-event moments with the diminishing of phase space scale, called “erraticity”, observed in experiment can readily be reproduced by a flat probability distribution with only statistical fluctuations and therefore it has nothing to do with chaos as suggested. The possibility of studying chaos in high multiplicity events using erraticity analysis is discussed.

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Authors and Affiliations

  1. Institute of Particle Physics, Huazhong Normal University, 430079, Wuhan, China

    Lianshou Liu, Jinghua Fu & Yuanfang Wu

Authors
  1. Lianshou Liu
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  2. Jinghua Fu
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  3. Yuanfang Wu
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Correspondence to Lianshou Liu.

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Liu, L., Fu, J. & Wu, Y. Dominance of statistical fluctuation in the factorial-moment study of chaos in low multiplicity events of high energy collisions. Sci. China Ser. A-Math. 43, 1215–1223 (2000). https://doi.org/10.1007/BF02872201

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  • DOI: https://doi.org/10.1007/BF02872201

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