University of California Radiation Laboratory Report UCRL--6114

By use of the equations of magnetohydrodynamics the diffusion of a magnetic field into a plasma is calculated. In this paper it is assumed that the electrical conductivity of the plasma follows a (temperature)3/2 power law and that acceleration effects are negligible. Under these conditions it is shown that the magnetohydrodynamic equations reduce to one nonlinear diffusion equation for the magnetic field. this equation is solved with the help of the IBM-650 computer, and the results are presented graphically and compared with the results for linear diffusion