In trod uctionThe molecular dynamics (MD) computer simulation technique is a simple, flexible, and powerful method for studying the statistical mechanics of complex many-body systems. Computer "experiments" using MD give a detailed picture of atomic movements with time. Molecular dynamics techniques expand the application of the theory of statistical mechanics beyond the use of analytic solutions for simple systems. The computational power in today's computers enables scientists utilizing MD techniques to both capitalize on this theory with MD and further catalyze theoretical developments. The data obtained in an MD simulation allow the investigator to probe the subtle relationships between the atomic motion and the observable thermodynamic, structural, and kinetic properties. The ability to predict particle trajectories through time is what sets MD apart from all other approaches to the study of transport phenomena.A new realm of study has also been opened up by the introduction of the MD technique to geochemistry and mineral physics. Now, reaction mechanisms of a geochemical process such as diffusion may be computed directly with MD as well as the rate. Knowledge of reaction mechanisms in geochemically relevant solids and fluids has been minimal to this point, so the MD technique may help remedy the present situation. In addition, the need to understand transport and kinetics over a wide temperature and pressure range makes the MD technique a valuable tool for the earth sciences.This chapter will briefly describe the MD technique for calculating particle movements through time and the type of thermodynamic and structural data obtainable from the simulations. A review of diffusion studies is then presented in a historical context to give the reader a familiarity with the development of the technique. The growth of applications that MD may be used for has followed advancements in computer technology for the past 30 years. Although the first J. Ganguly (ed.), Diffusion, Atomic Ordering, and Mass Transport