Gabern, F. and Koon, W. S. and Marsden, Jerrold E. and Ross, S. D. and Yanao, T. (2006) Application of Tube Dynamics to Non-Statistical Reaction Processes. Few-Body Systems, 38 (2-4). pp. 167-172. ISSN 0177-7963. doi:10.1007/s00601-005-0136-9. https://resolver.caltech.edu/CaltechAUTHORS:20101001-154821335
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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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| Additional Information: | © 2006 Springer-Verlag. Received November 14, 2005; accepted December 1, 2005. Published online May 31, 2006. Article based on the presentation by F. Gabern at the Fourth Workshop on the Dynamics and Structure of Critically Stable Quantum Few-Body Systems, MPIPKS, Dresden, Germany, 2005. NSF-ITR grant ACI-0204932, ICB-ARO grant DAAD19-03-D-0004, NSF-DMS-0505711, Fulbright-GenCat postdoc fellowship, MCyT/FEDER grant BFM2003-07521-C02-01, NSF postdoc fellowship NSF-DMS 0402842, JSPS Research Fellowships. | ||||||||||||||||
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| Issue or Number: | 2-4 | ||||||||||||||||
| DOI: | 10.1007/s00601-005-0136-9 | ||||||||||||||||
| Record Number: | CaltechAUTHORS:20101001-154821335 | ||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20101001-154821335 | ||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||
| ID Code: | 20262 | ||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||
| Deposited On: | 12 Nov 2010 00:07 | ||||||||||||||||
| Last Modified: | 08 Nov 2021 23:58 |
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