Abstract. A numerical study of parallel-plate rf discharges in Ar has been performed including the transport of ions and electrons in the sheath on the substrate. We employ a two-dimensional particle-in-cell with Monte Carlo collisions (PIC/MCC) method for an asymmetric capacitive discharge with an external electrical circuit containing a blocking capacitor and an rf power supply. The model gives self-consistently the dc self-bias voltages that usually occur on the rf-powered electrode, along with the energy and angular distribution of ion and electron fluxes incident on substrate surfaces. The peak electron density obtained in the discharge is 5.0×108 cm−3 at the Ar gas pressure of 20 mTorr, rf frequency of 13.56 MHz, and rf voltage of 100...