The evolution of nonequilibrium initial conditions of an incompressible magnetohydrodynamic Z pinch is described by a three-dimensional, pseudospectral numerical code. Magnetohydrodynamic turbulence develops in the resistive, nonviscous magnetofluid, resulting in the selective decay of the energy relative to the magnetic helicity, at Lundquist numbers of only a few hundred. An interior force-free region grows with time and achieves spontaneous reversal of the toroidal magnetic field at the wall, without the necessity of an external electric field.PACS numbers: 52.55. Ez, 52.65. +z Theoretical or computational treatments of magnetohydrodynamic (MHD) pinches usually have been described in terms of the evolution of unstable normal modes of laminar equilibria. However, the formation of Z pinches can be violent, and there may be regimes in which laminar equilibrium conditions are never a good initial approximation. 1 " 3 The nonlinear evolution of the resulting magnetic and velocity fields is of interest. In explaining Z-pinch behavior, it has been conjectured 4 ' 6 that the resulting MHD turbulence leads to a "selective decay" 7 " 10 of energy relative to magnetic helicity. This idea has received some numerical support in two dimensions, 8 * 9 with axisymmetry, 10 and in three dimensions 1112 (see the recent review by Hasegawa 13 ). The physical bases of "selective decay" turbulent processes have been presented in Refs. 7-10 and 13.The nature of selective decay becomes clear from the spectral representations of the two ideal invariants, energy and magnetic helicity. The former derives a higher fraction of its contributions from the larger wave numbers, where the dissipation occurs, and so is more affected by the decay of the short-spatial-scale expansion coefficients. The result is a decrease in ratio of the energy to magnetic helicity. At the lower limit of this ratio, a "force-free" state results. 14 For high enough currents, and a given toroidal magnetic flux, this implies reversal of the toroidal component of the magnetic field near the outer wall, 4 " 6 thought to be desirable for the achievement of quiescence and confinement.We report nonlinear MHD turbulence computations of evolving Z pinches which achieve spontaneous self-reversal of the toroidal magnetic field at the wall. The computation does not contain (1) external electric fields, (2) initial regions of diminished toroidal flux near the wall ("aided" reversal), or (3) finite compressibility. We use broad-band-noise initial conditions not close to an equilibrium and a Lundquist number S of a few hundred. There is no viscous stress. Related, but significantly different, computations have been reported by Sykes and Wesson 11 ; Aydemir and Barnes 15 ; Schnack, Caramana, and Nebel 16 ; Werley, Nebel, and Wurden 17 ; and Horiuchi and Sato. 18 The present calculation is closest to that of Aydemir and Barnes 15 and Horiuchi and Sato. 12 Our novel features include (1) a demonstrable connection between field reversal and selective decay to a forcefree state; (2) m...