Application of Tube Dynamics to Non-Statistical Reaction Processes

Shane D. Ross
Department of Aerospace and Mechanical Engineering, University of Southern California
Los Angeles, California 90089-1191, USA. E-mail: s.ross at usc dot edu

(with F. Gabern, W.S. Koon, J.E. Marsden and T. Yanao)


We introduce a methodology, based on dynamical systems theory, for the computation of lifetime distributions and rates of chemical reactions and scattering phenomena, even in systems that exhibit non-statistical behavior. In particular, we merge invariant manifold tube dynamics with Monte Carlo volume determination for accurate rate calculations. The methodology is applied first to a three degree of freedom model problem and then some ideas to extend it to higher degree of freedom systems are presented.

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