Relativistic resistive dissipative magnetohydrodynamics from the relaxation time approximation

Here we derive the relativistic resistive dissipative second-order magnetohydrodynamic evolution equations using Boltzmann equation, thus extending our work from previous paper [A. K. Panda et al., J. High Energy Phys. 03 (2021) 216] where considered nonresistive limit. We solve equation for a system of particles and antiparticles relaxation time approximation Chapman-Enskog--like gradient expansion off-equilibrium distribution function, truncating beyond second order. In first order, bulk shear stress are independent electromagnetic field, however, diffusion current shows dependence on electric field. new transport coefficients that couple fields with quantities appear, which different those obtained in 14-moment [G. S. Denicol Rev. D 99, 056017 (2019).] presence Also, found various components conductivity this case.