  Particle-in-cell (PIC) simulations with Monte-Carlo collisions are used in
plasma science to explore a variety of kinetic effects. One major problem is
the long run-time of such simulations. Even on modern computer systems, PIC
codes take a considerable amount of time for convergence. Most of the
computations can be massively parallelized, since particles behave
independently of each other within one time step. Current graphics processing
units (GPUs) offer an attractive means for execution of the parallelized code.
In this contribution we show a one-dimensional PIC code running on Nvidia GPUs
using the CUDA environment. A distinctive feature of the code is that size of
the cells that the code uses to sort the particles with respect to their
coordinates is comparable to size of the grid cells used for discretization of
the electric field. Hence, we call the corresponding algorithm "fine-sorting".
Implementation details and optimization of the code are discussed and the
speed-up compared to classical CPU approaches is computed.
