Time evolution of the simulation with Σ₀ = 10 M_⊙ pc⁻² and speed of sound c_s = 3 km s⁻¹, as an example of weak accretion. Top: after the bar is switched on the accretion rate rises for a short period. Afterward it declines and falls below 10⁻⁴   M_⊙ yr⁻¹. Bottom: at the beginning of the simulation the surface density shows fragmentation in the inner region. Later the flow in the inner disk is laminar. Eccentric nuclear rings can be identified at 80 pc and 800 pc.