Simulation for Distributions of Several Geometric Parameters in Nulling Pulsars

Abstract We investigate the distributions of obliquity angle and impact parameters nulling pulsars different duty cycles based on simulation more than 600,000 samples. adopt a purely geometric approach for pulsar visibility, in which visible emission is emitted tangentially to magnetic field line parallel line-of-sight direction. The geometry incorporated with model magnetospheres multiple states, plasma charge density dependent state. assume that an state can only exist between two limiting conditions described by vacuum corotation models, respectively. In this model, pulse corresponds switching zero. event detectable if occurs at source points lie trajectory, whose locus defines locations emission, within open-field region. Our results show all three parameters, such prefer small cycle, tend have positive parameters. find total population our samples around 23%, about 47% possess cycle 0.1 or smaller. former implies there are currently known. predicts number increases as decreases, also occurrence should evolve over time.