Perfectly diamagnetic pinched plasma

The pinched plasma being in a stationary state has been discussed in the past by various investigators on the basis of the Vlasov equation. But the stationary or undisturbed distribution functions given by them are some-what scattered so that profiles of macroscopic quantities are also different. We shall here give a solution of a stationary pinched plasma apart from its stability using the London equation with the equations of magnethydrostatic equilibrium. The reason that we shall apply the London equation to the collisionless plasma is due to the fact that the equation gives the total energy minimum with respect to the magnetic field on the basis of variational principle. (author)