Hydro cascade model at rhic
This presentation is the property of its rightful owner.
Sponsored Links
1 / 14

Hydro + Cascade Model at RHIC PowerPoint PPT Presentation


  • 110 Views
  • Uploaded on
  • Presentation posted in: General

Contents. Introduction 3-d Hydrodynamic Model Hydro + Cascade Model Results (hadron spectra, elliptic flow) Summary. Hydro + Cascade Model at RHIC. Duke University, Chiho Nonaka. In Collaboration with Steffen A. Bass (Duke University & RIKEN) October 30, [email protected], Chicago.

Download Presentation

Hydro + Cascade Model at RHIC

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Hydro cascade model at rhic

Contents

  • Introduction

  • 3-d Hydrodynamic Model

  • Hydro + Cascade Model

  • Results (hadron spectra, elliptic flow)

  • Summary

Hydro + Cascade Model at RHIC

Duke University, Chiho Nonaka

In Collaboration with

Steffen A. Bass (Duke University & RIKEN)

October 30, [email protected], Chicago


Introduction

Introduction

  • Hydrodynamic Model at RHIC

Success

Failure?

  • Single particle spectra

  • Elliptic flow

Morita, Muroya, CN and Hirano,

PRC66:054904,2002

Hirano and Tsuda, PRC66

  • HBT

  • Elliptic flow

Morita et al., PRC66

Huovinen et.al, PLB503

Possible solution?


Freeze out final interactions

Freeze-out, Final Interactions

Freeze-out

Thermal model

T = 177 MeV

 = 29 MeV

UrQMD

  • universal Tf for all hadrons in Hydro

  • Tf & 

  • Final interactions

Thermal + radial flow fit

STAR, nucl-ex/0307024

Markert @QM2004

  • Freeze-out is not universal for all hadron spectra.

  • Rescattering and regeneration is important.


Hydro cascade model

Hydro + Cascade Model

Bass and Dumitru, PRC61,064909(2000)

Teaney et al, nucl-th/0110037

  • Hydro + hadron transport model

    Key:

    • Freeze-out condition ex. Chemical and kinetic freeze-out

    • Final interactions

Hirano and Tsuda, PRC66(2002)054905

Treatment of freeze-out in transport model is determined

by mean free path.

Hadronization

UrQMD

  • Full 3-d Hydrodynamics

    • EoS 1st order phase transition

    • QGP + excluded volume model

( Improved)

Cooper-Frye

formula (Reco)

Final

interactions

Monte Carlo

t fm/c


3 d hydrodynamic model

3-d Hydrodynamic Model

Hydrodynamic equation

Baryon number density conservation

Coordinates

Lagrangian hydrodynamics

Tracing the adiabatic path of each

volume element

Effects of phase transition of observables

Algorithm

Focusing on conservation law

Flux of

fluid


Trajectories on the phase diagram

Trajectories on the Phase Diagram

  • Lagrangian hydrodynamics

temperature and chemical

potential of volume element

of fluid

effect of

phase transition

C.N et al., Eur. Phys.J C17,663(2000)


Parameters

Parameters

  • Initial Conditions

    • Energy density

    • Baryon number density

    • Parameters

    • Flow

      longitudinal: Bjorken’s Solution

  • Equation of State

    • 1st order phase transition

    • QGP phase (Bag model), mixed phase,

      hadron phase (up to 2GeV)

      (excluded volume model)

    • Bag constant:

  • Hydro UrQMD


Hadron spectra i

Hadron Spectra (I)

  • Pure Hydro

    • Central collision

    • Parameters

  • Hydro works well up to PT ~ 2 GeV


Hadron spectra ii

Hadron Spectra (II)

  • Hydro + UrQMD

  • Many pions are produced in UrQMD.

  • Low PT resonances

  • High PT interactions

  • Transition temperature is too low.

  • PT slope becomes flatter.

  • Extra radial flow in UrQMD

The initial condition for Hydro + UrQMD

Is different from that for pure hydro.


Elliptic flow

Elliptic Flow

  • Pure Hydro

  • Centrality 5-10 %

  • Hydro works well.

Centrality dependence


Elliptic flow ii

Elliptic Flow (II)

  • Hydro + UrQMD

preliminary

  • In UrQMD elliptic flow becomes small ?

  • Shape of elliptic flow as a function of 


Summary

Summary

  • Hydro + Cascade Model

    • Hadron Spectra, elliptic flow

    • Effect of resonances, final interactions in experimental data

  • Work in progress

    • Parameter

    • Initial Conditions

    • EoS (QCD critical point) ,CN and Asakawa nucl-th/0410078

    • Parton Cascade Model

    • Hadronization mechanism

      Recombination + Fragmentation model, Duke Group


Hydro cascade model at rhic

BACK UP


Numerical calculation

Numerical Calculation

Step 1.

Step 2.

Step 3.

Coordinates move in parallel

with baryon number current

and entropy density current.

local velocity:

from hydro eq.

temperature and chemical potential

CPU time is almost

proportional of # of lattice points.


  • Login