ABSTRACT

This chapter discusses the transport process, generally the longest time scale of the system. It considers transport phenomena, certain phenomena are simply stochastic processes, while others are governed by a dynamic process but exhibit essentially stochastic behavior. The chapter focuses on a few computational techniques, the Monte-Carlo method, the Fokker-Planck model, the particle simulation method, and the mapping method. It describes the mapping method only to the extent that the reader can pick up the technique from where left off. The chapter shows the natural link between the particle simulation and the mapping. The slowest time scale of a many-body system such as plasma is generally the transport time scale. The deterministic processes in dynamical phenomena are common problems that do not belong in transport study. One of the most challenging questions in the transport problem of plasma physics and in all fields of nonlinear dynamics is why and how an essentially deterministic system acquires stochasticity.