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High Energy Physics - Phenomenology

arXiv:1810.12527 (hep-ph)
[Submitted on 30 Oct 2018 (v1), last revised 25 Apr 2019 (this version, v2)]

Title:Electrical conductivity and relaxation via colored noise in a hadronic gas

Authors:Jan Hammelmann, Juan M. Torres-Rincon, Jean-Bernard Rose, Moritz Greif, Hannah Elfner
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Abstract:Motivated by the theory of relativistic hydrodynamic fluctuations we make use of the Green-Kubo formula to compute the electrical conductivity and the (second-order) relaxation time of the electric current of an interacting hadron gas. We use the recently developed transport code SMASH to numerically solve the coupled set of Boltzmann equations implementing realistic hadronic interactions. In particular, we explore the role of the resonance lifetimes in the determination of the electrical relaxation time. As opposed to a previous calculation of the shear viscosity we observe that the presence of resonances with lifetimes of the order of the mean-free time does not appreciably affect the relaxation of the electric current fluctuations. We compare our results to other approaches describing similar systems, and provide the value of the electrical conductivity and the relaxation time for a hadron gas at temperatures between T=60 MeV and T=150 MeV.
Comments: 29 pages, 11 figures. Typos corrected, new references incorporated and minor clarifications added. Version to be published by the Physical Review D journal
Subjects: High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)
Cite as: arXiv:1810.12527 [hep-ph]
  (or arXiv:1810.12527v2 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1810.12527
Journal reference: Phys. Rev. D 99, 076015 (2019)
Related DOI: https://doi.org/10.1103/PhysRevD.99.076015

Submission history

From: Juan M. Torres-Rincon [view email]
[v1] Tue, 30 Oct 2018 04:50:19 UTC (151 KB)
[v2] Thu, 25 Apr 2019 16:15:30 UTC (153 KB)
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