ABSTRACT

The growth in computer technology has been explosive. Its speed, cost, capacity, or their product can be described as increasing explosively as a function of time. The computer simulations reproduce both linear and nonlinear behavior. The difficulties in formulating calculational procedures similar to quantum mechanical systems, classical dynamical systems are usually not appropriately or efficiently treated by the Monte-Carlo simulation method. The method of simulation allows us a greatly enhanced computational power. It enables us to solve problems involving nonlinear dynamics of systems with many degrees of freedom such as microscopic dynamics of plasmas. It may, however, be plausible to apply the path integral method to the dynamical systems if the system is Gaussian. The simplest possible system for the particle simulation may be the electrostatic particle simulation. To carry out a task in the simulation that is equivalent to reducing the collision effects, the finite-size particle method was introduced.