Causal Baryon Diffusion and Colored Noise

Abstract

We construct a model of baryon diffusion which has the desired properties of causality and analyticity. The model also has the desired property of colored noise, meaning that the noise correlation function is not a Dirac delta function in space and time; rather, it depends on multiple time and length constants. The model can readily be incorporated in 3+1 dimensional second order viscous hydro-dynamical models of heavy ion collisions, which is particularly important at beam energies where the baryon density is large.

20 pages, 5 figures

References in corpus (8)

• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Derivation of transient relativistic fluid dynamics from the Boltzmann equation
• 3+1D hydrodynamic simulation of relativistic heavy-ion collisions
• Relativistic Theory of Hydrodynamic Fluctuations with Applications to Heavy Ion Collisions
• Dynamics of nanojets
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Causal Diffusion and the Survival of Charge Fluctuations in Nuclear Collisions
• Numerical integration of thermal noise in relativistic hydrodynamics

Cited by in corpus (28)

• Net baryon diffusion in fluid dynamic simulations of relativistic heavy-ion collisions
• Dynamical vs. equilibrium properties of the QCD phase transition: a holographic perspective
• Suppression of baryon diffusion and transport in a baryon rich strongly coupled quark-gluon plasma
• Thermally Fluctuating Second-Order Viscous Hydrodynamics and Heavy-Ion Collisions
• Progress and Challenges in Small Systems
• Evolving Charge Correlations in a Hybrid Model with both Hydrodynamics and Hadronic Boltzmann Descriptions
• Causal Electric Charge Diffusion and Balance Functions in Relativistic Heavy Ion Collisions
• Electrical conductivity and relaxation via colored noise in a hadronic gas
• Longitudinal Dynamics of High Baryon Density Matter in High Energy Heavy-Ion Collisions
• All order effective action for charge diffusion from Schwinger-Keldysh holography
• Simulation of stationary Gaussian noise with regard to the Langevin equation with memory effect
• Rapidity Correlation Structure in Nuclear Collisions
• Causal hydrodynamic fluctuations in non-static and inhomogeneous backgrounds
• Landau and Eckart frames for relativistic fluids in nuclear collisions
• Evolution of Charge Fluctuations and Correlations in the Hydrodynamic Stage of Heavy Ion Collisions
• Calculating Fluctuations and Self-Correlations Numerically for Causal Charge Diffusion in Relativistic Heavy-Ion Collisions
• The "ripples" on relativistically expanding fluid
• Kramers's escape rate problem within a non-Markovian description
• Stochastic hydrodynamics and hydro-kinetics: Similarities and differences
• Comprehensive simulation of heavy-ion collisions at non-zero baryon chemical potential
• Classical model for diffusion and thermalization of heavy quarks in a hot medium: memory and out-of-equilibrium effects
• Relating Measurable Correlations in Heavy Ion Collisions to Bulk Properties of Equilibrated QCD Matter
• Charge Conservation and Higher Moments of Charge Fluctuations
• Calculating n-Point Charge Correlations in Evolving Systems
• Consistent Implementation of Finite-Range Terms into Hydrodynamics
• Thermal noise in non-boost-invariant dissipative hydrodynamics
• Covariant formulation of spinodal decomposition in rapidly expanding quark gluon plasma
• Causal Baryon Diffusion and Colored Noise for Heavy Ion Collisions