Abstract
This paper explains the self-organization process in magnetohydrodynamic (MHD) plasmas which are disclosed by means of the MHD simulation. The MHD plasma is described by nonlinear partial differential equations with a small dissipation term. Three-dimensional computer simulations indicate that in the self-organizing system there are at least two nontrivial global invariants in the nondissipative limit and the selective dissipation between these quantities takes place in a small dissipation medium. This process is caused by two different transfer processes in the wavenumber space, i. e., normal cascade and inverse cascade. The role of driven reconnection in the self-organization of the magnetohydrodynamic plasma is also given.