2015
DOI: 10.1016/j.nuclphysa.2015.07.008
|View full text |Cite
|
Sign up to set email alerts
|

Rapidity window dependences of higher order cumulants and diffusion master equation

Abstract: We study the rapidity window dependences of higher order cumulants of conserved charges observed in relativistic heavy ion collisions. The time evolution and the rapidity window dependence of the nonGaussian fluctuations are described by the diffusion master equation. Analytic formulas for the time evolution of cumulants in a rapidity window are obtained for arbitrary initial conditions. We discuss that the rapidity window dependences of the non-Gaussian cumulants have characteristic structures reflecting the … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
19
0

Year Published

2016
2016
2024
2024

Publication Types

Select...
7

Relationship

0
7

Authors

Journals

citations
Cited by 25 publications
(19 citation statements)
references
References 50 publications
0
19
0
Order By: Relevance
“…The η coverage (∆η) dependence of fluctuation observables allows the study of the history of the hot medium [16,17]. Figure 3 shows the dependence of volume independent cumulant ratios of the ∆N Ch distributions at √ s NN = 14.5 GeV on the pseudo-rapidity window width for different centralities (left figure), as well as, for different number of participants N part (middle figure).…”
Section: Resultsmentioning
confidence: 99%
“…The η coverage (∆η) dependence of fluctuation observables allows the study of the history of the hot medium [16,17]. Figure 3 shows the dependence of volume independent cumulant ratios of the ∆N Ch distributions at √ s NN = 14.5 GeV on the pseudo-rapidity window width for different centralities (left figure), as well as, for different number of participants N part (middle figure).…”
Section: Resultsmentioning
confidence: 99%
“…It is also planed to install a Time-of-Flight (eTOF) detector at the west end cap of the STAR TPC to extend the PID capability at forward region. The iTPC upgrade is important to test the criticality and study dynamical evolution of the fluctuations by looking at the rapidity coverage dependence for the fluctuations of conserved quantities [40]. In Fig.7 right, the blue band is the extrapolating from current measurements by assuming critical contributions (κσ 2 ∝N 3 [41]).…”
Section: Detector Upgrades and Beam Energy Scan Phase II At Rhicmentioning
confidence: 99%
“…Here, we take x = 5000 as an illustration and only incorporate the contributions of quark number fluctuations and correlations up to fourth order as in Eq. (59). The auxiliary horizontal axis shows the corresponding quark-antiquark asymmetry parameter z.…”
Section: Application: Cumulants For Net Protons In Heavy Ion Collisionsmentioning
confidence: 99%
“…For example, we should assume more realistic quark number fluctuations and correlations in a thermal quark system in midrapidity via grand-canonical statistics or canonical statistics with Bernoulli trial selection of the midrapidity range. In addition we should also consider various effects related to finite acceptance window such as the diffusion/blur of charges during hadronization and subsequent hadronic re-scatterings as well as that caused by resonance decay [49,[54][55][56][57][58][59][60][61][62][63][64][65][66][67]. We will study these effects in this framework in the future.…”
Section: Application: Cumulants For Net Protons In Heavy Ion Collisionsmentioning
confidence: 99%