Effect of finite particle number sampling on baryon number fluctuations

Steinheimer, Jan; Koch, Volker

doi:10.1103/PhysRevC.96.034907

Title: Effect of finite particle number sampling on baryon number fluctuations

Journal Article · Thu Sep 28 00:00:00 EDT 2017 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.96.034907· OSTI ID:1408476

Steinheimer, Jan ^[1]; Koch, Volker ^[2]

Frankfurt Institute for Advanced Studies, Frankfurt am Main (Germany)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

The effects of finite particle number sampling on the net baryon number cumulants, extracted from fluid dynamical simulations, are studied. The commonly used finite particle number sampling procedure introduces an additional Poissonian (or multinomial if global baryon number conservation is enforced) contribution which increases the extracted moments of the baryon number distribution. If this procedure is applied to a fluctuating fluid dynamics framework, one severely overestimates the actual cumulants. We show that the sampling of so-called test particles suppresses the additional contribution to the moments by at least one power of the number of test particles. We demonstrate this method in a numerical fluid dynamics simulation that includes the effects of spinodal decomposition due to a first-order phase transition. Furthermore, in the limit where antibaryons can be ignored, we derive analytic formulas which capture exactly the effect of particle sampling on the baryon number cumulants. These formulas may be used to test the various numerical particle sampling algorithms.

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Research Organization:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1408476

Alternate ID(s):: OSTI ID: 1395406

Journal Information:: Physical Review C, Vol. 96, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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