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Electrical conductivity and relaxation via colored noise in a hadronic gas

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arxiv 1810.12527 v2 pith:GJLP47RR submitted 2018-10-30 hep-ph nucl-th

Electrical conductivity and relaxation via colored noise in a hadronic gas

Jan Hammelmann , Juan M. Torres-Rincon , Jean-Bernard Rose , Moritz Greif , Hannah Elfner This is my paper
classification hep-ph nucl-th
keywords relaxationelectricaltimeconductivitycurrentelectricfluctuationshadron
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 2 Pith papers

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  1. Memory effect on the heavy quark dynamics in hot QCD matter

    hep-ph 2026-04 unverdicted novelty 5.0

    Time-correlated thermal noise modeled with a fractional derivative substantially alters heavy quark momentum correlations, displacement, and transverse-momentum moments in hot QCD matter.

  2. Non-Markovian heavy-quark equilibration and equilibrium correlation function in a thermal medium

    hep-ph 2026-07 conditional novelty 4.0

    Memory (colored noise) changes the transient equilibration of heavy quarks but leaves their asymptotic spatial diffusion coefficient unchanged in this Langevin model.