Fig. 10. a Pattern speed as a function of radius, in units of 100km/s/kpc, for the mode, total density for T=500-1000 Myr (top ) mode, gas for T=500-1000 Myr (middle ) and for mode, total density, for T=0-1600 Myr (bottom )in the disk-dominated run. b Pattern speed as a function of radius, in units of 100km/s/kpc, for the mode, gas density for T=400-1200 Myr (top ) and mode, gas also for T=400-1200 Myr (middle ), and the mode, total density for T=0-1600 Myr (bottom ), for the halo-dominated run.