Diffusion of transverse correlations and shear viscosity in heavy ion collisions Qun Wang ( 王群 ) Univ of Sci & Tech of China ( 中国科技大学 ) With L.G.Pang,X.N.Wang,R.Xu.

Slides:

Advertisements

Similar presentations

R. Lacey, SUNY Stony Brook 1 Arkadij Taranenko Quark Matter 2006 November 13-20, Shanghai, China Nuclear Chemistry Group SUNY Stony Brook, USA PHENIX Studies.

Advertisements

Elliptic flow of thermal photons in Au+Au collisions at 200GeV QNP2009 Beijing, Sep , 2009 F.M. Liu Central China Normal University, China T. Hirano.

Rapidity Dependence of Transverse Momentum Correlations from Fluctuating Hydrodynamics Rajendra Pokharel 1, Sean Gavin 1 and George Moschelli 2 1 Wayne.

Effects of Bulk Viscosity on p T -Spectra and Elliptic Flow Parameter Akihiko Monnai Department of Physics, The University of Tokyo, Japan Collaborator:

In relativistic heavy ion collisions a high energy density matter Quark-Gluon Plasma (QGP) may be formed. Various signals have been proposed which probe.

1 Statistical Model Analysis of K/  and p/  fluctuations in heavy-ion collisions 付菁华华中师范大学粒子物理研究所.

Winter Workshop on Nuclear Dynamics, Feb 2011 Centrality dependence of number and transverse momentum correlations in Au+Au collisions at 200 GeV Monika.

Enhancement of hadronic resonances in RHI collisions We explain the relatively high yield of charged Σ ± (1385) reported by STAR We show if we have initial.

Prof. Reinisch, EEAS / Simple Collision Parameters (1) There are many different types of collisions taking place in a gas. They can be grouped.

2-1 Problem Solving 1. Physics  2. Approach methods

Properties of the Quantum Fluid at RHIC Strangeness in Quark Matter March 26-31, 2006.

Fluctuations and Brownian Motion 2  fluorescent spheres in water (left) and DNA solution (right) (Movie Courtesy Professor Eric Weeks, Emory University:

Viscosity. Average Speed The Maxwell-Boltzmann distribution is a function of the particle speed. The average speed follows from integration.  Spherical.

The Henryk Niewodniczański Institute of Nuclear Physics Polish Academy of Sciences Cracow, Poland Based on paper M.Ch., W. Florkowski nucl-th/ Characteristic.

Perfect Fluid: flow measurements are described by ideal hydro Problem: all fluids have some viscosity -- can we measure it? I. Radial flow fluctuations:

Continuum Mechanics: Research Questions for the Classroom Michael Dennin U. C. Irvine Department of Physics and Astronomy.

Lecture “Planet Formation” Topic: Introduction to hydrodynamics and magnetohydrodynamics Lecture by: C.P. Dullemond.

Perfect Fluid: flow measurements are described by ideal hydro Problem: all fluids have some viscosity -- can we measure it? I. Transverse flow fluctuations:

Effects of Bulk Viscosity at Freezeout Akihiko Monnai Department of Physics, The University of Tokyo Collaborator: Tetsufumi Hirano Nagoya Mini-Workshop.

Viscosity of quark gluon plasma DONG Hui ( 董辉 ) Shandong University ( 山东大学 ) in collaboration with J.W. Chen(NTU), Q. Wang(USTC), K. Ohnishi(NTU) / J.

Conservation Laws for Continua

Generalized Entropy and Transport Coefficients of Hadronic Matter Azwinndini Muronga 1,2 1 Centre for Theoretical Physics & Astrophysics Department of.

Nonequilibrium Dynamics in Astrophysics and Material Science YITP, Kyoto, Japan, Oct. 31-Nov. 3, 2011 Tetsufumi Hirano Sophia Univ./the Univ. of Tokyo.

Λ Polarization in an Exact rotating and expanding model for peripheral heavy ion reactions Yilong Xie NorSAC-2015 Department of Physics and Technology,

Two Particle Correlations and Viscosity in Heavy Ion Collisions Monika Sharma for the Wayne State University STAR Collaboration Outline: Motivation Measurement.

Perfect Fluid: flow measurements are described by ideal hydro Problem: all fluids have some viscosity -- can we measure it? I. Radial flow fluctuations:

Relativistic Outflow Formation by Magnetic Field around Rapidly Rotating Black Hole Shinji Koide （ Toyama University ） Black Hole 2003, October 29 (Wed),

2010/4/18 1 南昌 Correlation between event multiplicity and observed collective flow 周代梅华中师范大学粒子物理研究所.

Flow fluctuation and event plane correlation from E-by-E Hydrodynamics and Transport Model LongGang Pang 1, Victor Roy 1,, Guang-You Qin 1, & Xin-Nian.

The effects of viscosity on hydrodynamical evolution of QGP 苏中乾大连理工大学 Dalian University of Technology.

Longitudinal de-correlation of anisotropic flow in Pb+Pb collisions Victor Roy ITP Goethe University Frankfurt In collaboration with L-G Pang, G-Y Qin,

Yuri Kovchegov The Ohio State University

1 Anomalous Viscosity of the Quark-Gluon Plasma Berndt Mueller – Duke University Workshop on Early Time Dynamics in Heavy Ion Collisions McGill University,

Workshop for Particle Correlations and Femtoscopy 2011

HuaZhong Normal University IWND09, August 22~25, Shanghai 1 Event-by-Event Fluctuations of Net-Baryon Distribution and Higher Order Cumulants ZHOU You,

Orbital Angular Momentum and Shear Flow in Non-Central Heavy Ion Collisions Wei-Tian Deng.

Deqing Fang, Yugang Ma, Shaoxin Li, Chenlong Zhou

Roy A. Lacey (SUNY Stony Brook ) C ompressed B aryonic at the AGS: A Review !! C ompressed B aryonic M atter at the AGS: A Review !!

Hydrodynamics, together with geometric fluctuations of the Glauber model make specific predictions for a dipole and triangle terms in the observed azimuthal.

Shear Viscosity and Viscous Entropy Production in Hot QGP at Finite Density 报告人：刘绘华中师范大学粒子所.

Effects of bulk viscosity in causal viscous hydrodynamics Jianwei Li, Yugang Ma and Guoliang Ma Shanghai Institute of Applied Physics, CAS 1. Motivation.

2+1 Relativistic hydrodynamics for heavy-ion collisions Mikołaj Chojnacki IFJ PAN NZ41.

Flow fluctuation and event plane correlation from E-by-E Hydrodynamics and Transport Model Victor Roy Central China Normal University, Wuhan, China Collaborators.

Does HBT interferometry probe thermalization? Clément Gombeaud, Tuomas Lappi and J-Y Ollitrault IPhT Saclay WPCF 2009, CERN, October 16, 2009.

Shear viscosity of a gluon plasma in heavy ion collisions Qun Wang Univ of Sci & Tech of China With J.W. Chen, H. Dong, K. Ohnishi, Phys.Lett.B685, 277(2010)

Fluctuating hydrodynamics confronts rapidity dependence of p T -correlations Rajendra Pokharel 1, Sean Gavin 1 and George Moschelli 2 1 Wayne State University.

1 June 24-29, Levoca, Slovakia Baryon-strangeness correlations in a partonic/hadron transport model F. Jin, Y. G. Ma, X. Z. Cai, G. L. Ma, H. Huang,

Shear and Bulk Viscosities of Hot Dense Matter Joe Kapusta University of Minnesota New Results from LHC and RHIC, INT, 25 May 2010.

Heavy-Ion Physics - Hydrodynamic Approach Introduction Hydrodynamic aspect Observables explained Recombination model Summary 전남대 이강석 HIM

Relativistic Theory of Hydrodynamic Fluctuations Joe Kapusta University of Minnesota Nuclear Physics Seminar October 21, 2011 Collaborators: Berndt Muller.

R. Lednicky: Joint Institute for Nuclear Research, Dubna, Russia I.P. Lokhtin, A.M. Snigirev, L.V. Malinina: Moscow State University, Institute of Nuclear.

HIM06-12 SHLee1 Some Topics in Relativistic Heavy Ion Collision Su Houng Lee Yonsei Univ., Korea 1.J. P. Blaizot 2.J. Kapusta 3.U. A. Wiedemann.

Charge-dependent correlations from event-by-event anomalous hydrodynamics [arXiv: ] Yuji Hirono [Stony Brook Univ.] Collaborators: T. Hirano [Sophia.

Glasma, minijets, strings  long range  correlations  Venugopalan Ask: how does viscous flow modify these correlations? Viscosity, Flow and the Ridge.

Budapest, 4-9 August 2005Quark Matter 2005 HBT search for new states of matter in A+A collisions Yu. Sinyukov, BITP, Kiev Based on the paper S.V. Akkelin,

SQM’08 1 An explorer for the shear viscosity in the formed matter at relativistic heavy ion collisions Wu Yuanfang IOPP, Huazhong Normal University,

PhD student at the International PhD Studies Institute of Nuclear Physics PAN Institute of Nuclear Physics PAN Department of Theory of Structure of Matter.

Collective motion at 5.5 TeV (from RHIC to the LHC) Raimond Snellings.

Introduction to Plasma Physics and Plasma-based Acceleration

PHENIX. Motivation Collaboration PHENIX Roy A. Lacey (SUNY Stony Brook) PHENIX Collaboration I N T E R N A T I O N A L W O R K S H O P O N T H E P H.

Dynamical modeling of the chiral magnetic effect in heavy-ion collisions [arXiv: ] Yuji Hirono [Stony Brook Univ.] Collaborators: T. Hirano[Sophia.

Fluctuations, Instabilities and Collective Dynamics L. P. Csernai 1 and H. Stöcker 2 1 Institute of Physics and Technology, University of Bergen, Allegaten.

Akihiko Monnai Department of Physics, The University of Tokyo Collaborator: Tetsufumi Hirano V iscous Hydrodynamic Evolution with Non-Boost Invariant Flow.

Duke University 野中千穂 Hadron production in heavy ion collision: Fragmentation and recombination in Collaboration with R. J. Fries (Duke), B. Muller (Duke),

A hyperbolic model for viscous fluids First numerical examples

Monika Sharma Wayne State University for the STAR Collaboration

Bulk viscosity in heavy ion collisions

Effects of Bulk Viscosity at Freezeout

Effects of Bulk Viscosity on pT Spectra and Elliptic Flow Coefficients

Fu Jinghua Institute of Particle Physics, Huazhong Normal University

Presentation transcript:

Diffusion of transverse correlations and shear viscosity in heavy ion collisions Qun Wang ( 王群 ) Univ of Sci & Tech of China ( 中国科技大学 ) With L.G.Pang,X.N.Wang,R.Xu IWND2009, Shanghai, August 22-25,2009

What is shear viscosity shear viscosity = resistance of liquid to shear forces (and hence to flow)

Shear viscosity in ideal gas and liquid ideal gas, high T ideal liquid, low T lower bound by uncertainty principle Danielewicz, Gyulassy, 1985 Frenkel, 1955

Ratio of Shear Viscosity to entropy density Lacey et al, PRL98, (2007)

Correlation from interaction:example number density momentum correlation Interaction potential

Cylindrical coordinate EM tensor for fluid EM conservation of fluid to equation for fluctuation Momentum fluctuation as tool to measure shear viscosity (1) [Gavin, Abdel-Aziz, PRL 2006] local rest frame

Diffusion equation for momentum density Diffusion equation for momentum density in rapidity and proper time Momentum fluctuation as tool to measure shear viscosity (2)

Momentum fluctuation as tool to measure shear viscosity (3) Correlation of momentum fluctuation Diffusion equation for correlation is broadened by momentum diffusion

Momentum fluctuation as tool to measure shear viscosity (4) Connection to observable i labels particles from each event brackets represent the event average Shear viscosity can broaden the rapidity correlations of the momentum current. This broadening can be observed by measuring the transverse momentum covariance as a function of rapidity acceptance.

Momentum fluctuation as tool to measure shear viscosity (5) Rapidity correlations to measure the shear viscosity [Gavin, Abdel-Aziz, PRL 2006]

Azimuthal correlation in transverse momenta Transverse plane can be separated to -bins Focus on two -bins 1 and 2, define correlation function i,j: particles in bins 1 and 2particle numbers in bins 1 and 2 average is taken over events

Diffusion equation for azimuthal correlation in central collisions Cylindrical coordinates, metrics and velocity Diffusion equation for azimutha correlation central collision

Diffusion equation for azimuthal correlation in central collisions In the co-moving frame without fluid velocity, diffusion equation is in a simple form with solution

Solve diffusion equation in general frame 1. Initial condition given by HIJING 2. Solve fluid equation to determine thermodynamic quantities as input to diffusion equation 3. Average over freeze-out hyper-surface freeze-out energy density

Azimuthal correlation in transverse momenta result from HIJING

Results for azimuthal correlation (1) Free Gas

Results for azimuthal correlation (2) First order phase transition

Results for azimuthal correlation (3)

Results for azimuthal correlation (4)

Results for azimuthal correlation (5)

Results for azimuthal correlation (6)

Summary and conclusion 1. A diffusion equation for azimuthal correlation for transverse momentum is derived a general Lorentz frame. 2. Mini-jet thermalization is shown in the correlation 3. Azimuthal correaltion as a measure for shear viscosity