Causal Electric Charge Diffusion and Balance Functions in Relativistic Heavy Ion Collisions

Abstract

We study the propogation and diffusion of electric charge fluctuations in high energy heavy ion collisions using the Cattaneo form for the dissipative part of the electric current. As opposed to the ordinary diffusion equation this form limits the speed at which charge can propagate. Including the noise term in the current, which arises uniquely from the fluctuation-dissipation theorem, we calculate the balance functions for charged hadrons in a simple 1+1 dimensional Bjorken hydrodynamical model. Limiting the speed of propagation of charge fluctuations increases the height and reduces the width of these balance functions when plotted versus rapidity. We also estimate the numerical value of the associated diffusion time constant from AdS/CFT theory.

References in corpus (5)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Charge conservation and the shape of the ridge of two-particle correlations in relativistic heavy-ion collisions
• Causal Baryon Diffusion and Colored Noise

Cited by in corpus (2)

• Evolving Charge Correlations in a Hybrid Model with both Hydrodynamics and Hadronic Boltzmann Descriptions
• Dynamics of critical fluctuations: Theory -- phenomenology -- heavy-ion collisions