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Dynamically screened strongly quantized electron transport in binary neutron-star merger. (arXiv:2303.16811v1 [nucl-th])

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We examine electron-transport coefficients in magnetized hot and dense
electron-ion plasma relevant in binary neutron star merger simulation. We
calculate electrical and thermal conductivities in low density, high
temperature, highly magnetized plasma of binary neutron star mergers where
quantum oscillatory behavior of electrons emerge. For pronounced thermodynamic
effects, we consider zeroth Landau level population of electrons for the
calculation of conductivity. We solve Boltzmann equation in presence of
magnetic field to obtain the dissipative components of electrical and thermal
conductivities. The dissipative coefficients are formulated considering
frequency dependent dynamical screening in the quantized electron-ion
scattering rate. Numerical estimations show that the effect of dynamical
screening of photon propagator on electrical and thermal conductivities is
pronounced. We observe that dynamical screening reduces the maxima of both the
electrical and thermal conductivities by factors of thirty one and twenty
respectively leading to a reduction in the corresponding time scales of these
coefficients. The common scaling factor between electrical and thermal
conductivity is also observed to follow cubic relationship with temperature
violating Wiedemann-Franz law.

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