Automodel dynamics of current "Coalescence" in a thin current layer

Summary form only given. The current filamentation dynamics in a thin current layer is discussed with a dynamic model: /spl rho/´/sub t/+(/spl rho//spl upsi/)´/sub x/=0./spl upsi/´/sub t/+/spl upsi//spl upsi/´/sub x/=gH/spl rho/, where H is the Gilbert operator, g=const. This model was first proposed by Trubnikov (1990) in connection with pinch emergence under the interaction of magnetized plasma clouds. Under the disruption of pinch accelerated electron/ion beams emerge. It is assumed that the bremsstrahlung of electrons gives birth to gamma-bursts, and the ions (protons, mainly) feed galactic cosmic rays. It is shown that this dynamic system is a Hamiltonian. Automodel solutions representing the collapse of the isolated current filaments, for the case of self-compression and under the effect of all other filaments into which the current layer is split, have been built.