Simulations of ion and electron transport in low-temperature dusty plasma

The efficient algorithm for numerical simulation of the charged particles transport in low-temperature dusty plasma is presented. The interaction of dust particles in plasma is a rather complex geometry, making it necessary to consider it within the two-dimensional geometry. The system of equations, which is used in a model, apart of transport equations include Poisson's equation. To solve the Poisson equation, the electric field potential was expanded in a series of Legendre polynomials.