[en] In the modeling of low temperature plasma devices, e.g. glow discharges, the particle-in-cell-Monte-Carlo-collision (PIC-MCC) method has gained increasing importance. The large numerical expenditure, however, has so far limited the number of tractable problems. One reason for this is the fact that the particle simulation has to resolve the smallest scales of a problem. Realistic plasma devices such as the dc glow discharge always possess a number of essentially different time scales: fast electron motion in the cathode fall and slow ion drift in the plasma bulk. Therefore, to obtain convergence, a large number of simulation cycles is necessary. In the past, different methods were developed to cope with the multiple time scale problem: in implicit PIC an increase of the electron time step beyond 1/ω_pe, is possible. This method is not suitable for the modeling of glow discharges, where the time step is limited by the requirement that the particle trajectories between successive collisions must be resolved. Another very simple procedure is the reduction of the ion-electron mass ratio. This also is not suitable for our purposes because it influences the mobility and the drift motion. To overcome the problem of multiple time scales in the modeling of low temperature plasma devices, we have developed a new method, which we call asynchronous cycling. It is designed to manage situations with changes in the macroscopic quantities slower than the ion motion