Abstract
We study the propagation and diffusion of electric charge fluctuations in highenergy heavyion 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 fluctuationdissipation theorem, we calculate the balance functions for charged hadrons in a simple 1+1dimensional 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 anti–de Sitterspace/conformalfield theory.
Original language  English (US) 

Article number  019901 
Journal  Physical Review C 
Volume  102 
Issue number  1 
DOIs 

State  Published  Jul 2020 
Bibliographical note
Funding Information:This work was supported by the US DOE Grant No. DEFG0287ER40328. C.P. acknowledges support from the CLASH Project No. KAW 20170036.