Boltzmann-Langevin Approach to Pre-equilibrium Correlations in Nuclear Collisions

Abstract

Correlations born before the onset of hydrodynamic flow can leave observable traces on the final state particles. Measurement of these correlations can yield important information on the isotropization and thermalization process. Starting from a Boltzmann-like kinetic theory in the presence of dynamic Langevin noise, we derive a new partial differential equation for the two-particle correlation function that respects the microscopic conservation laws. We illustrate how this equation can be used to study the effect of thermalization on long range correlations.

11 pages, 3 figures

References in corpus (13)

• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• Phobos results on charged particle multiplicity and pseudorapidity distributions in Au+Au, Cu+Cu, d+Au, and p+p collisions at ultra-relativistic energies
• Long Range Correlations and the Soft Ridge in Relativistic Nuclear Collisions
• Transport rates and momentum isotropization of gluon matter in ultrarelativistic heavy-ion collisions
• A kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion
• Event-by-event mean $p_{\mathrm{T}}$ fluctuations in pp and Pb-Pb collisions at the LHC
• Transverse-momentum fluctuations in relativistic heavy-ion collisions from event-by-event viscous hydrodynamics
• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Non-flow correlations and elliptic flow fluctuations in Au+Au collisions at sqrt(s_NN)=200GeV
• Analytic solutions of the relativistic Boltzmann equation
• Relating Measurable Correlations in Heavy Ion Collisions to Bulk Properties of Equilibrated QCD Matter
• The road to precision: Extraction of the specific shear viscosity of the quark-gluon plasma

Cited by in corpus (8)

• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Collision Energy Dependence of $p_{\mathrm{t}}$ Correlations in Au+Au Collisions at RHIC
• Partial correlation analysis method in ultra-relativistic heavy-ion collisions
• Modelling stochastic fluctuations in relativistic kinetic theory
• Pseudorapidity profile of transverse momentum fluctuations in heavy ion collisions
• Consistent Implementation of Finite-Range Terms into Hydrodynamics
• Measuring the Rate of Isotropization of Quark-Gluon Plasma Using Rapidity Correlations
• Non-Monotonicity of $p_{\mathrm{T}}$ Correlations in Au + Au Collisions at RHIC