We compute the patterns of gamma-ray emission due to curvature radiation (CR) in dissipative pulsar magnetospheres. Our ultimate goal was to reveal the macrophysical models that are able to reproduce the observed gamma-ray light-curve phenomenology recently published in the Second Fermi Pulsar Catalog. Assuming Force-Free (FF) conditions for the closed magnetic field lines, on the open field lines we use specific dissipative prescriptions for the current density and a broad range for the conductivity values that result in solutions ranging from near-vacuum to near-FF. Using these dissipative models, we generated model gamma-ray light-curves by calculating realistic trajectories and Lorentz factors of particles, under the influence of both the accelerating electric fields and CR-reaction. In addition to modeling the gamma-ray light-curves we further constrained our models using the observed dependence of the phase-lags between the radio and gamma-ray emission on the gamma-ray peak-separation, one of the multiwavelength observables compiled by the Fermi mission. Assuming that the radio-emission originates along the magnetic axis near the stellar surface, we performed a statistical comparison of our model radio-lag vs peak-separation diagram and the one obtained from the Fermi standard pulsars. We found that for models of uniform conductivity over the entire open magnetic field line region, agreement with observations favors higher values of this parameter. We found however significant improvement in fitting the data with models that employ a hybrid form of conductivity; specifically, infinite conductivity (FF) interior to the light-cylinder and high but finite conductivity on the outside. In these models the gamma-ray emission is produced in regions near the equatorial current sheet but modulated by the local physical properties. Finally, these models produce GeV photon cut-off energies.
Date added: Tue, 15 Oct 13