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Proceedings 2019, 10(1), 31; https://doi.org/10.3390/proceedings2019010031

Diffusion of Conserved Charges in Relativistic Heavy Ion Collisions

1
Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany
2
Instituto de Física, Universidade Federal Fluminense, UFF, Niterói, RJ 24210-346, Brazil
*
Author to whom correspondence should be addressed.
Presented at Hot Quarks 2018 - Workshop for Young Scientists on the Physics of Ultrarelativistic Nucleus-Nucleus Collisions, Texel, The Netherlands, 7–14 September 2018.
Published: 17 April 2019
PDF [243 KB, uploaded 17 April 2019]

Abstract

We discuss the diffusion currents occurring in a dilute system and show that the charge currents do not only depend on gradients in the corresponding charge density, but also on the other conserved charges in the system—the diffusion currents are therefore coupled. Gradients in one charge thus generate dissipative currents in a different charge. In this approach, we model the Navier-Stokes term of the generated currents to consist of a diffusion coefficient matrix, in which the diagonal entries are the usual diffusion coefficients and the off-diagonal entries correspond to the coupling of different diffusion currents. We evaluate the complete diffusion matrix for a specific hadron gas and for a simplified quark-gluon gas, including baryon, electric and strangeness charge. Our findings are that the off-diagonal entries can range within the same magnitude as the diagonal ones.
Keywords: Diffusion; Multiple Charge Conservation; Heavy Ion Collisions; Transport Theory Diffusion; Multiple Charge Conservation; Heavy Ion Collisions; Transport Theory
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Fotakis, J.A.; Greif, M.; Denicol, G.S.; Greiner, C. Diffusion of Conserved Charges in Relativistic Heavy Ion Collisions. Proceedings 2019, 10, 31.

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