Cellular automaton simulating of the intensive charged particles beam evolution

In this research we formulate and formalize the rules for the cellular automaton that simulates the evolution of the intensive elementary charged particles beam considering the self-Coulomb field of the beam for an n-dimensional case. In this research we also describe the main principles of the realization of this approach and corresponding algorithms for a parallel cluster environment. The program realization of represented algorithms and some results of computing are described.