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The GERDA experiment searches for the neutrinoless double beta decay of Ge-76using high-purity germanium detectors enriched in Ge-76. The analysis of thesignal time structure provides a powerful tool to identify neutrinoless doublebeta decay events and to discriminate them from gamma-ray induced backgrounds.Enhanced pulse shape discrimination capabilities of "Broad Energy Germanium"detectors with a small read-out electrode have been recently reported. Thispaper describes the full simulation of the response of such a detector,including the Monte Carlo modeling of radiation interaction and subsequentsignal shape calculation. A pulse shape discrimination method based on theratio between the maximum current signal amplitude and the event energy appliedto the simulated data shows quantitative agreement with the experimental dataacquired with calibration sources. The simulation has been used to study thesurvival probabilities of the decays which occur inside the detector volume andare difficult to assess experimentally. Such internal decay events are producedby the cosmogenic radio-isotopes Ge-68 and Co-60 and the neutrinoless doublebeta decay of Ge-76. Fixing the experimental acceptance of the double escapepeak of the 2.614 MeV photon to 90%, the estimated survival probabilities atQbb = 2.039 MeV are (86+-3)% for Ge-76 neutrinoless double beta decays,(4.5+-0.3)% for the Ge-68 daughter Ga-68, and (0.9+0.4-0.2)% for Co-60 decays.

Signal modeling of high-purity Ge detectors with a small read-out electrode and application to neutrinoless double beta decay search in Ge-76