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We have explored how the electrical ($\sigma_{\rm el}$) and thermal($\kappa$) conductivities in a thermal QCD medium get affected in weak-momentumanisotropies arising either due to a strong magnetic field or due to asymptoticexpansion. This study facilitates to understand the longevity of strongmagnetic field through $\sigma_{el}$, Lorenz number in Wiedemann-Franz law, andthe validity of equilibrium by the Knudsen number. We calculate theconductivities by solving relativistic Boltzmann transport equation inrelaxation-time approximation within quasiparticle model at finite T and strongB. We have found that $\sigma_{el}$ and $\kappa$ get enhanced in a magneticfield-driven anisotropy, but $\sigma_{el}$ decreases with temperature, oppositeto its faster increase in expansion-driven anisotropy. Whereas $\kappa$increases slowly with temperature, contrary to its rapid increase inexpansion-driven anisotropy. The above findings are broadly attributed to threefactors: the stretching and squeezing of distribution function in anisotropiesgenerated by the magnetic field and asymptotic expansion, respectively, thedispersion relation and resulting phase-space factor, the relaxation-time inabsence and presence of strong magnetic field. So $\sigma_{\rm el}$ extractsthe time-dependence of magnetic field, which decays slower than in vacuum butexpansion-driven anisotropy makes the decay faster. The variation in $\kappa$transpires that Knudsen number decreases with T but expansion-driven anisotropyreduces its value and magnetic field-driven anisotropy raises its value but toless than one, thus the system can still be in equilibrium. The ratio,$\kappa/\sigma_{el}$ in magnetic field-driven anisotropy increases linearlywith temperature but with a value smaller than in expansion-driven anisotropy.Thus the Lorenz number can make the distinction between different anisotropies.

Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field