Smoothed Particle Hydrodynamics for Relativistic Heavy Ion Collisions

Abstract

The method of smoothed particle hydrodynamics (SPH) is developped appropriately for the study of relativistic heavy ion collision processes. In order to describe the flow of a high energy but low baryon number density fluid, the entropy is taken as the SPH base. We formulate the method in terms of the variational principle. Several examples show that the method is very promising for the study of hadronic flow in RHIC physics.

14 pages, 8figures

References in corpus (2)

• Smoothed Particle Hydrodynamics Simulations of Ultra-Relativistic Shocks with Artificial Viscosity
• Variational Principle for Relativistic Fluid Dynamics

Cited by in corpus (66)

• 3+1D hydrodynamic simulation of relativistic heavy-ion collisions
• Higher flow harmonics from (3+1)D event-by-event viscous hydrodynamics
• Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
• Topology studies of hydrodynamics using two particle correlation analysis
• A 3+1 dimensional viscous hydrodynamic code for relativistic heavy ion collisions
• GLISSANDO: GLauber Initial-State Simulation AND mOre
• Bulk Viscosity Effects in Event-by-Event Relativistic Hydrodynamics
• On the necessity to include event-by-event fluctuations in experimental evaluation of elliptical flow
• Effect of bulk viscosity on Elliptic Flow near QCD phase transition
• Bulk viscosity-driven suppression of shear viscosity effects on the flow harmonics at RHIC
• Event-by-event hydrodynamics $+$ jet energy loss: A solution to the $R_{AA}\otimes v_2$ puzzle
• Linear and cubic response to the initial eccentricity in heavy-ion collisions
• Fluctuating initial conditions in heavy-ion collisions from the Glauber approach
• Fluctuations of the Initial Conditions and the Continuous Emission in Hydrodynamic Description of Two-Pion Interferometry
• Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
• Landau Hydrodynamics Reexamined
• Importance of Granular Structure in the Initial Conditions for the Elliptic Flow
• Transverse-momentum fluctuations in relativistic heavy-ion collisions from event-by-event viscous hydrodynamics
• The effect of shear and bulk viscosities on elliptic flow
• Sensitivity of flow harmonics to sub-nucleon scale fluctuations in heavy ion collisions
• 3D Relativistic Hydrodynamic Computations Using Lattice-QCD-Inspired Equations of State
• Simple solutions of relativistic hydrodynamics for systems with ellipsoidal symmetry
• Future Physics Perspectives on the Equation of State from Heavy Ion Collisions to Neutron Stars
• Cumulants and nonlinear response of high $p_T$ harmonic flow at $\sqrt{s_{NN}}=5.02$ TeV
• Size fluctuations of the initial source and the event-by-event transverse momentum fluctuations in relativistic heavy-ion collisions
• Simple solutions of relativistic hydrodynamics for longitudinally and cylindrically expanding systems
• Shear viscosity and out of equilibrium dynamics
• Soft heavy-ion physics from hydrodynamics with statistical hadronization - predictions for the Large Hadron Collider
• Two-body nucleon-nucleon correlations in Glauber models of relativistic heavy-ion collisions
• Dissipative Magnetohydrodynamics for Non-Resistive Relativistic Plasmas
• Study of the sensitivity of observables to hot spot size in heavy ion collisions
• NeXSPheRIO Results on Elliptic-Flow Fluctuations at RHIC
• Core-corona separation in the UrQMD hybrid model
• Wounded nucleon model with realistic nucleon-nucleon collision profile and observables in relativistic heavy-ion collisions
• Decomposition of fluctuating initial conditions and flow harmonics
• A Co-moving Coordinate System for Relativistic Hydrodynamics
• Shock propagation and stability in causal dissipative hydrodynamics
• Dynamics of QCD Matter -- current status
• Effect of chemical freeze out on identified particle spectra at 200AGeV Au-Au Collisions at RHIC using SPheRIO
• On the origin of trigger-angle dependence of di-hadron correlations
• Hydrodynamics: Fluctuating Initial Conditions and Two-particle Correlations
• The unreasonable effectiveness of hydrodynamics in heavy ion collisions
• Analytical Solutions of Landau (1+1)-Dimensional Hydrodynamics
• Connecting far-from-equilibrium hydrodynamics to resummed transport coefficients and attractors
• NeXSPheRIO results on elliptic flow at RHIC and connection with thermalization
• Forced canonical thermalization in a hadronic transport approach at high density
• Elliptic Flow Suppression due to Hadron Mass Spectrum
• Fast kinetic simulator for relativistic matter
• Photon emission from out of equilibrium dissipative parton plasma
• Hydrodynamic approach to the centrality dependence of di-hadron correlations
• Two-particle correlations at high-energy nuclear collisions, peripheral-tube model revisited
• Viscosity, non-conformal equation of state and sound velocity in Landau hydrodynamics
• Evaluating Results from the Relativistic Heavy Ion Collider with Perturbative QCD and Hydrodynamics
• On the peripheral-tube description of the two-particle correlations in nuclear collisions
• Quark Matter 2005: Experimental Conference Summary
• Detection of source inhomogeneity through event-by-event two-pion Bose-Einstein correlations
• Open Problems in Hydrodynamical Approach to Relativistic Heavy Ion Collisions
• Influence of tubular initial conditions on two-particle correlations
• A Study of the Di-Hadron Angular Correlation Function in Event by Event Ideal Hydrodynamics
• A derivation of the entropy-based relativistic smoothed particle hydrodynamics by variational principle
• Tools for RHIC: Review of Models
• Jet quenching effects on the anisotropic flow at RHIC
• Heavy flavor electron $R_{\text{AA}}$ and $v_2$ in event-by-event relativistic hydrodynamics
• NeXSPheRIO results on azimuthal anisotropy in Au-Au collisions at 200A GeV
• Classical and relavistic simple wave problems solved with Smoothed Particle Hydrodynamics
• Mini-jet Clustering Algorithm Using Transverse-momentum Seeds in High-energy Nuclear Collisions