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In superfluid 3He-B mutual-friction damping of vortex-line motion decreasesroughly exponentially with temperature. We record as a function of temperatureand pressure the transition from regular vortex motion at high temperatures toturbulence at low temperatures. The measurements are performed withnon-invasive NMR techniques, by injecting vortex loops into a long column invortex-free rotation. The results display the phase diagram of turbulence athigh flow velocities where the transition from regular to turbulent dynamics isvelocity independent. At the three measured pressures 10.2, 29.0, and 34 bar,the transition is centered at 0.52--0.59Tc and has a narrow width of 0.06Tcwhile at zero pressure turbulence is not observed above 0.45Tc.Comment: To be published in J. Low Temp. Phys. (QFS2004 proceedings

Phase diagram of turbulence in superfluid 3He-B