... result

If $\nu_{\rm Mag}$ is too small, then magnetic fields are frozen-in to the gas approximately. In this case $B \sim \rho^{2/3}$, and B must increase inwards, irrespectively, whether the disk is standard or advection-dominated.

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... advection-dominated

The flow is said to be advection-dominated if transport via fluid-motion dominates viscous re-distribution.

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