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:


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).

Back | Home