  A two-dimensional (2D) shock-rest-frame model for particle simulations is
developed. Then full kinetic dynamics of a perpendicular collisionless shock is
examined by means of a 2D full particle simulation. We found that in the 2D
simulation there are fewer nonthermal electrons due to surfing acceleration
which was seen in the previous 1D simulations of a high Mach number
perpendicular shock in a low-beta and weakly magnetized plasma. This is because
the particle motion along the ambient magnetic field disturbs the formation of
coherent electrostatic solitary structures which is necessary for electron
surfing acceleration.
