DEPENDENCE OF RELAXED STATES OF MAGNETOHYDRODYNAMIC PLASMAS ON RESISTIVITY PROFILES

Functional dependence of relaxed states of magnetohydrodynamic (MHD) p lasmas on profiles of resistivity eta is derived approximately as mu0j (parallel-to) congruent-to square-root mu0alpha/2etaB for parallel com ponents to B, by using a general self-organization theory based on dis sipative structures due to selective dissipations associated with high er eigenmodes for dissipative dynamic operators. Typical results of th ree-dimensional simulations for resistive MHD plasmas with both ''nonu niform eta'' and ''uniform eta'' are shown to compare with the theoret ical result. Comparison between the theoretical and the numerical resu lts suggests that the attractor of dissipative structures in resistive MHD plasmas is given by delX(etaj)=(alpha/2)B and is reduced to delXB =lambdaB in the case with the ''uniform eta'' and no pressure gradient .