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Electrical Conductivity at the Core of a Magnetar

Sutapa Ghosh·Sanchayita Ghosh·Kanupriya Goswami·Somenath Chakrabarty·Ashok Goyal
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Abstract

An expression for the electrical conductivity at the core of a magnetar is derived using Boltzmann kinetic equation with the relaxation time approximation. The rates for the relevant scattering processes, e.g., electron-electron and electron-proton are evaluated in presence of strong quantizing magnetic fields using tree level diagrams. It is found that in presence of a strong quantizing magnetic field, electrical conductivity behaves like a second rank tensor. However, if the zeroth Landau levels are only occupied by the charged particles, it again behaves like a scaler of a one dimensional system.

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Sutapa Ghosh, Sanchayita Ghosh, Kanupriya Goswami, Somenath Chakrabarty, Ashok Goyal. 2001-06-08. Electrical Conductivity at the Core of a Magnetar. https://doi.org/10.1142/s0218271802002098

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