Transition state theory and dynamical corrections in ergodic systems

The results of transition state theory are derived rigorously in the general context of ergodic dynamical systems defined by a vector field on a Riemannian manifold. A new perspective on how to compute the dynamical corrections to the TST transition frequency is given. Hamiltonian dynamical systems are considered as a special case and the so-called Marcus formula for the rate constant is re-derived. AMS classification scheme numbers: 37A60,37M10,82C05 § To whom correspondence should be addressed. Transition state theory and dynamical corrections in ergodic systems 2