ABSTRACT
This chapter explores diffusive motion present in Hamiltonian dynamics in general. It shows that the properties of the dynamics of the simple case hold for a broader class of dynamics, including that of a particle in a set of prescribed Langmuir waves. The chapter deals with a simple model dynamical system which makes the introduction of the basic concepts easier. J. R. Cary et al gave an analytical support to the permanent character of the maximum by also discussing the approximation of the true Hamiltonian dynamics by a discrete mapping. The problem of diffusion in differentiable Hamiltonian systems is a complex one. The locality property may be extended to more general Hamiltonians than, which include the class describing the motion of a particle in a prescribed set of Langmuir waves or van Kampen-like eigenmodes.
