Transport in Hamiltonian Systems With Two or More Degrees of Freedom
Shane D. Ross
Control and Dynamical Systems, California Institute of Technology
MC 107-81, Pasadena, CA 91125, USA. E-mail: email@example.com
We discuss techniques for analyzing transport properties for a general
class of Hamiltonian systems which have potential barriers (e.g.,
molecular reaction dynamics, ionization problems, three-body problem).
Transport "tubes," the unstable and stable manifolds of normally
hyperbolic invariant manifolds residing in potential barriers, provide a
natural framework for determining the statistical properties of such
systems (e.g., reaction rates and mixing times).