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Our first aim is to explore the effect of the collision integral with theinsurance of instantaneous conservation of particle number on charge and heattransport in a thermal QCD medium. The second aim is to see how the dimensionalreduction due to strong magnetic field (B) modulates the transport through theentangled effects, {\em such as} collision-time and occupation probability etc.in collision integral. The final aim is to check how the quasiparticledescription through dispersion relation of thermal QCD in strong B, alters theaforesaid conclusions. We observe that modified collision term expedites bothtransport, which is manifested by large magnitudes of electrical ($\sigma_{\rmel}$) and thermal ($\kappa$) conductivities, in comparison torelaxation-collision term. As a corollary, Lorenz number is dominated by thelater and Knudsen number is by the former. However, strong B not only flips thedominance of collision term in heat transport, it also causes drasticenhancement of both $\sigma_{\rm el}$ and $\kappa$ and reduction in specificheat. As a result, the equilibration factor, Knudsen number becomes much largerthan one, which defies physical interpretation. Finally, quasiparticledescription in the absence of strong B impedes the transport of charge andheat, resulting in the meagre decrease of conductivities, however, strong Bdoes noticeable observations: conductivities now gets reduced to physicallyplausible values, T-dependence of $\sigma_{\rm el}$ gets reversed, {\em i.e.}it now decreases with T, effect of collision integral gets smeared in $\kappa$etc. Knudsen number thus becomes much smaller than one, implying that thesystem be remained in equilibrium. These findings attribute to the fact thatthe collective modes in the dispersion relation of thermal QCD in strong B setsin much larger scale, manifested by large in-medium masses.

Cumulative effects of collision integral, strong magnetic field, and quasiparticle description on charge and heat transport in thermal QCD medium