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Application of Tube Dynamics to Non-Statistical Reaction Processes

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Abstract.

A technique based on dynamical systems theory is introduced 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. This methodology is applied to a three-degree-of-freedom model problem and some ideas on how it might be extended to higher-degree-of-freedom systems are presented.

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Authors and Affiliations

  1. Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Av. Diagonal 647, 08028, Barcelona, Spain

    F. Gabern

  2. Control and Dynamical Systems, California Institute of Technology, MC 107-81, 91125, Pasadena, CA, USA

    F. Gabern, W. S. Koon, J. E. Marsden & T. Yanao

  3. Department of Aerospace and Mechanical Engineering, University of Southern California, RRB 217, 90089-1191, Los Angeles, CA, USA

    S. D. Ross

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  1. F. Gabern
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  2. W. S. Koon
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  3. J. E. Marsden
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  4. S. D. Ross
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  5. T. Yanao
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Gabern, F., Koon, W., Marsden, J. et al. Application of Tube Dynamics to Non-Statistical Reaction Processes. Few-Body Systems 38, 167–172 (2006). https://doi.org/10.1007/s00601-005-0136-9

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  • DOI: https://doi.org/10.1007/s00601-005-0136-9

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