Magnetic diffusion (source code)

= Magnetic diffusion
{title2=$\partial_t\mathbf B=\eta_m\nabla^2\mathbf B$}

Finite <electrical conductivity> permits resistive smoothing of a <magnetic field>. With uniform coefficients and no motion the field satisfies a diffusion equation; with motion the diffusion term supplements the curl of $\mathbf u\times\mathbf B$. The <magnetic Reynolds number> compares these effects.