Baryon number diffusion with critical fluctuations

doi:10.1016/j.nuclphysa.2017.04.021

Title: Baryon number diffusion with critical fluctuations

Abstract

The description of dynamical fluctuations near the QCD critical point in heavy-ion collisions is crucial for understanding the existing and upcoming experimental data from the beam energy scan programs. In this talk we discuss the evolution of fluctuations of the net-baryon density as given by a stochastic diffusion equation. In conclusion we study equilibrium as well as dynamical systems for which we can show the impact of nonequilibrium effects on the second-order moment.

Authors:

Nahrgang, Marlene ^[1]; Bluhm, Marcus ^[2]; Schafer, Thomas ^[3]; Bass, Steffen A. ^[4]

SUBATECH UMR 6457 (IMT Atlantique, Univ. de Nantes, IN2P3/CNRS), Nantes (France)
Univ. of Wroclaw, Wroclaw (Poland)
North Carolina State Univ., Raleigh, NC (United States)
Duke Univ., Durham, NC (United States)

Publication Date:: 2017-09-25

Research Org.:: North Carolina State Univ., Raleigh, NC (United States); Duke Univ., Durham, NC (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1502400

Grant/Contract Number:: [FG02-03ER41260; FG02-05ER41367]

Resource Type:: Accepted Manuscript

Journal Name:: Nuclear Physics. A

Additional Journal Information:: [ Journal Volume: 967; Journal Issue: C]; Journal ID: ISSN 0375-9474

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; QCD phase diagram; QCD critical point; critical fluctuations; stochastic baryon number diffusion; real-time dynamics

Citation Formats


                    Nahrgang, Marlene, Bluhm, Marcus, Schafer, Thomas, and Bass, Steffen A. Baryon number diffusion with critical fluctuations.  United States: N. p., 2017. 
        Web.  doi:10.1016/j.nuclphysa.2017.04.021.

Copy to clipboard


                    Nahrgang, Marlene, Bluhm, Marcus, Schafer, Thomas, & Bass, Steffen A. Baryon number diffusion with critical fluctuations.  United States.  doi:10.1016/j.nuclphysa.2017.04.021.

Copy to clipboard


                    Nahrgang, Marlene, Bluhm, Marcus, Schafer, Thomas, and Bass, Steffen A. Mon .  
        "Baryon number diffusion with critical fluctuations".  United States.  doi:10.1016/j.nuclphysa.2017.04.021.  https://www.osti.gov/servlets/purl/1502400.

Copy to clipboard


                    
@article{osti_1502400,

  title        = {Baryon number diffusion with critical fluctuations},

  author       = {Nahrgang, Marlene and Bluhm, Marcus and Schafer, Thomas and Bass, Steffen A.},

  abstractNote = {The description of dynamical fluctuations near the QCD critical point in heavy-ion collisions is crucial for understanding the existing and upcoming experimental data from the beam energy scan programs. In this talk we discuss the evolution of fluctuations of the net-baryon density as given by a stochastic diffusion equation. In conclusion we study equilibrium as well as dynamical systems for which we can show the impact of nonequilibrium effects on the second-order moment.},

  doi          = {10.1016/j.nuclphysa.2017.04.021},

  journal      = {Nuclear Physics. A},

  number       = [C],

  volume       = [967],

  place        = {United States},

  year         = {2017},

  month        = {9}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

DOI: 10.1016/j.nuclphysa.2017.04.021

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 2 works

Citation information provided by
Web of Science

Figures / Tables:

Fig. 1. : Left: Temperature dependence of ξ and $m$² considered in this study, $T$_c = 0.15 GeV and ξ₀ = 0.479 fm. Right: Static structure factor $S$_$k$ as a function of momentum $k$ for $T$ = $T$_$c$ and $T$ = 0.5 GeV for different Δx (L = 10 fmmore »

All figures and tables (3 total)

Save / Share:

Export Metadata

Save to My Library

Figures / Tables found in this record:

Fig. 1. (p. 2)

Fig. 2. (p. 3)

Fig. 3.(p. 3)

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Effect of finite particle number sampling on baryon number fluctuations

Journal Article Steinheimer, Jan ; Koch, Volker - Physical Review C

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 methodmore »« less
Cited by 2
DOI: 10.1103/PhysRevC.96.034907

Full Text Available
Net-baryon diffusion in fluid-dynamic simulations of relativistic heavy-ion collisions

Journal Article Denicol, Gabriel S. ; Gale, Charles ; Jeon, Sangyong ; ... - Physical Review C

A hybrid (hydrodynamics + hadronic transport) theoretical framework is assembled to model the bulk dynamics of relativistic heavy-ion collisions at energies accessible in the Beam Energy Scan (BES) program at the Relativistic Heavy-Ion Collider (RHIC) and the NA61/SHINE experiment at CERN. The system's energy-momentum tensor and net baryon current are evolved according to relativistic hydrodynamics with finite shear viscosity and non-zero net baryon diffusion. Our hydrodynamic description is matched to a hadronic transport model in the dilute region. With this fully integrated theoretical framework, we present a pilot study of the hadronic chemistry, particle spectra, and anisotropic flow. Phenomenological effectsmore »« less
Cited by 8
DOI: 10.1103/PhysRevC.98.034916

Full Text Available
Impact of resonance decays on critical point signals in net-proton fluctuations

Journal Article Bluhm, Marcus ; Nahrgang, Marlene ; Bass, Steffen A. ; ... - European Physical Journal. C, Particles and Fields

The non-monotonic beam energy dependence of the higher cumulants of net-proton fluctuations is a widely studied signature of the conjectured presence of a critical point in the QCD phase diagram. In this work we study the effect of resonance decays on critical fluctuations. We show that resonance effects reduce the signatures of critical fluctuations, but that for reasonable parameter choices critical effects in the net-proton cumulants survive. The relative role of resonance decays has a weak dependence on the order of the cumulants studied with a slightly stronger suppression of critical effects for higher-order cumulants.
Cited by 5
DOI: 10.1140/epjc/s10052-017-4771-3
Real time evolution of non-Gaussian cumulants in the QCD critical regime

Journal Article Mukherjee, Swagato ; Venugopalan, Raju ; Yin, Yi - Physical Review. C, Nuclear Physics

In this study, we derive a coupled set of equations that describe the nonequilibrium evolution of cumulants of critical fluctuations for spacetime trajectories on the crossover side of the QCD phase diagram. In particular, novel expressions are obtained for the nonequilibrium evolution of non-Gaussian skewness and kurtosis cumulants. UBy utilizing a simple model of the spacetime evolution of a heavy-ion collision, we demonstrate that, depending on the relaxation rate of critical fluctuations, skewness and kurtosis can differ significantly in magnitude as well as in sign from equilibrium expectations. Memory effects are important and shown to persist even for trajectories thatmore »« less
Cited by 41
DOI: 10.1103/PhysRevC.92.034912

Full Text Available
Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential

Journal Article Bazavov, A. ; Ding, H. -T. ; Hegde, P. ; ... - Physical Review D

In this paper, we present results for the ratios of mean (M _B), variance (σmore »« less
Cited by 12
DOI: 10.1103/PhysRevD.96.074510

Full Text Available

Similar Records