Causal electric charge diffusion and balance functions in relativistic heavy-ion collisions

Joseph I. Kapusta, Christopher Plumberg

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21 Scopus citations


We study the propagation 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 anti-de Sitter-space/conformal-field theory.

Original languageEnglish (US)
Article number014906
JournalPhysical Review C
Issue number1
StatePublished - Jan 22 2018

Bibliographical note

Funding Information:
We thank S. Pratt, T. Springer, A. Kamenev, S. Gavin, Y. Yin, M. Martinez, D. Bazow, and J. Vinals for discussions. This work was supported by the U.S. DOE Grant No. DE-FG02-87ER40328. APPENDIX:

Publisher Copyright:
© 2018 American Physical Society.


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