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Electrical conductivity and relaxation via colored noise in a hadronic gas

2018/10/31 by Jan Hammelmann, Juan M. Torres-Rincon, Juan M. Torres-Rincón +3 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · Psychology · #Artificial intelligence #Colored #Composite material #Computer science #Conductivity #Electrical resistivity and conductivity #Geophysical and Geoelectrical Methods #Hadron #High-Energy Particle Collisions Research #Materials science #Noise (video) #Nuclear physics #Physics #Psychology #Quantum mechanics #Quantum, superfluid, helium dynamics #Relaxation (psychology) #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.99.076015

published as Phys. Rev. D 99, 076015 (2019) · 29 pages, 11 figures. Typos corrected, new references incorporated and minor clarifications added. Version to be published by the Physical Review D journal

arxiv created 2019/04/25 · openalex publication_date 2019/04/29 · arxiv updated 2019/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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