As it was pointed out by A.Simon, a set of equations governing the well-known magneto-static equilibrium do not yield an unique solution. The problem may be solved by making use of the following London equation, j=e
2 (1/m
e+1/m
i) nA,
where j is the current density, m
e the mass of electron, m
i the mass of ion, n the number density of electron and A the vector potential.
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