where μ 0 {\displaystyle \mu _{0}} is the permeability of free space and σ {\displaystyle \sigma } is the electrical conductivity of the material, which is assumed to be constant. v → {\displaystyle {\vec {v}}} denotes the (non-relativistic) velocity of the plasma. The first term on the right hand side accounts for effects from induction of the plasma, while the second accounts for diffusion. The later acts as a dissipation term, resulting in a loss of magnetic field energy to heat.