Relativistic fluid dynamics in heavy ion collisions
arXiv:1108.5828
Abstract
This dissertation is about the study of three important issues in the theory of relativistic fluid dynamics: the stability of dissipative fluid dynamics, the shear viscosity, and fluid dynamics with triangle anomaly.(1)The second order theory of fluid dynamics is necessary for causality. However the causality cannot be guaranteed for all parameters. The constraints for parameters are then given. We also point out that the causality and the stability are inter-correlated. It is found that a causal system must be stable, but an acausal system in the boost frame at high speed must be unstable. (2)The transport coefficients can be determined in kinetic theory. We will firstly discuss about derivation of the shear viscosity via variational method in the Boltzmann equation. Secondly, we will compute the shear viscosity via AdS/CFT duality in a Bjorken boost invariant fluid with radial flow. It is found that the ratio of the shear viscosity to entropy density is consistent with the work of Policastro, Son and Starinets. As another application of AdS/CFT duality, we also investigate the property of baryons in the strongly coupled plasma. (3)As the last topic, we investigate the fluid dynamics with quantum triangle anomalies. Recently it is pointed out that the vorticity has to be introduced to relativistic fluid dynamics with anomalies to satisfy the second law of thermodynamics. These new terms are also relevant to the Chiral Magnetic Effect. We find such terms can be derived from the kinetic approach. The coefficients of the vorticity are also evaluated.
Doctoral dissertation, University of Science and Technology of China, 108pp, May 2011
References in corpus (66)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- The Chiral Magnetic Effect
- Building an AdS/CFT superconductor
- Glauber Modeling in High Energy Nuclear Collisions
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Linear Confinement and AdS/QCD
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC
- Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV
- Lectures on Holographic Superfluidity and Superconductivity
- Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
- Drag force in AdS/CFT
- Calculating the Jet Quenching Parameter from AdS/CFT
- 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
- Suppression of elliptic flow in a minimally viscous quark-gluon plasma
- Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
- Holographic model of superfluidity
- The ridge in proton-proton collisions at the LHC
- Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
- Has the QCD Critical Point been Signaled by Observations at RHIC ?
- An AdS/CFT Calculation of Screening in a Hot Wind
- Holographic melting and related properties of mesons in a quark gluon plasma
- Relativistic hydrodynamics for heavy-ion collisions
- Effects of fluctuations on the initial eccentricity from the Color Glass Condensate in heavy ion collisions
- Perturbative QCD Calculations of Elliptic Flow and Shear Viscosity in Au+Au Collisions at GeV
- Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
- The chiral magnetic effect in hydrodynamical approach
- Second order hydrodynamic coefficients from kinetic theory
- Viscous plasma evolution from gravity using AdS/CFT
- Viscous hydrodynamics relaxation time from AdS/CFT
- Shear Viscosity in a Gluon Gas
- Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
- Fluid/gravity model for the chiral magnetic effect
- Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids I. General Aspects and 3+1 Formulation for Nuclear Collisions
- Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
- Shear viscosity of a hadronic gas mixture
- Elliptic flow of gluon matter in ultrarelativistic heavy-ion collisions
- Shear Viscosity to Entropy Density Ratio of QCD below the Deconfinement Temperature
- Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids II. Transport properties and microscopic description of relativistic nuclear matter
- Early Time Dynamics in Heavy Ion Collisions from AdS/CFT Correspondence
- Leading Order Calculation of Shear Viscosity in Hot Quantum Electrodynamics from Diagrammatic Methods
- QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
- Hydrodynamic description of ultrarelativistic heavy-ion collisions
- Introduction to AdS-CFT
- TASI 2003 Lectures on AdS/CFT
- A consistent description of kinetic equation with triangle anomaly
- The Bulk Viscosity of a Pion Gas
- Energy loss in a partonic transport model including bremsstrahlung processes
- Thermalization of a color glass condensate and review of the "Bottom-Up" scenario
- Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma
- The QGP Discovered at RHIC
- Evolution of Hot, Dissipative Quark Matter in Relativistic Nuclear Collisions
- Renormalized Linear Kinetic Theory as Derived from Quantum Field Theory - a novel diagrammatic method for computing transport coefficients -
- Heavy Quarkonium States with the Holographic Potential
- TASI Lectures on Emergence of Supersymmetry, Gauge Theory and String in Condensed Matter Systems
- Heavy quarks at RHIC and LHC within a partonic transport model
- Minimum Shear Viscosity over Entropy Density at Phase Transition? --- A Counterexample
- QCD plasma thermalization, collective flow and extraction of shear viscosity
- Towards a common origin of the elliptic flow, ridge and alignment
- Central and Non-central HBT from AGS to RHIC
- Jets and flow within a pQCD-based partonic transport model
- Production, elliptic flow and energy loss of heavy quarks in the quark-gluon plasma
- A Holographic model for Non-Relativistic Superconductor
- Shear Viscosity in Weakly Coupled N-Component Scalar Field Theories
- Thermalization of gluon matter including gg<->ggg interactions
- Collective Flow and Mach Cones with Parton Transport