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Mikito Toda, Tamiki Komatsuzaki, Tetsuro Konishi, Stephen's Advances in Chemical Physics Vol. 130 - Part B: Geometrical PDF

By Mikito Toda, Tamiki Komatsuzaki, Tetsuro Konishi, Stephen Berry

ISBN-10: 0471711578

ISBN-13: 9780471711575

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Read or Download Advances in Chemical Physics Vol. 130 - Part B: Geometrical Structures of Phase Space In Multi-dimensional Chaos: Applications To Chemical Reaction Dynamics In Complex Systems PDF

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Additional info for Advances in Chemical Physics Vol. 130 - Part B: Geometrical Structures of Phase Space In Multi-dimensional Chaos: Applications To Chemical Reaction Dynamics In Complex Systems

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A system of N separable harmonic oscillators has 3N À 6 normal modes and hence moves in a space of that number of dimensions. A system of N particles with no constraints on the interactions and exchanges among its 6N dimensions in phase space has only to preserve its three center-of-mass coordinates, three center-of-mass momenta, three components of angular momentum and its total energy, 10 in all. Hence such a system may move in a phase space of 6N À 10 dimensions. For the argon trimer, these two extreme cases correspond to 3 Â 3 À 6 ¼ 3 and 3 Â 6 À 10 ¼ 8, respectively.

M. Leitner, R. S. Berry, and R. M. Whitnell, J. Chem. Phys. 91, 3470 (1989). 4. T. L. Beck, D. M. Leitner, and R. S. Berry, J. Chem. Phys. 89, 1681 (1988). 5. I. Benjamin, Y. Alhassid, and R. D. Levine, Chem. Phys. Lett. 115, 113 (1985). 6. P. Grassberger and I. Procaccia, Phys. Rev. A 28, 2591 (1983). 7. P. Grassberger and I. Procaccia, Phys. Rev. Lett. 50, 346 (1983). 8. R. J. Hinde, R. S. Berry, and D. J. Wales, J. Chem. Phys. 96, 1376 (1992). 9. R. J. Hinde and R. S. Berry, J. Chem. Phys. 99, 2942 (1993).

J. Hinde and R. S. Berry, J. Chem. Phys. 99, 2942 (1993). ] Figure 14. The accumulated action as a function of time as a four-particle Lennard-Jones particle passes through its saddle region. The periodicity is not as sharp and clearly marked as with the three-particle cluster in the previous figure. [Reprinted with permission from R. J. Hinde and R. S. Berry, J. Chem. Phys. 99, 2942 (1993). ] 20 r. stephen berry Figure 15. 71 K. The trajectories from top to bottom in each figure correspond to 256, 512, 1024, 2048, 4096, and 8192 steps.

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Advances in Chemical Physics Vol. 130 - Part B: Geometrical Structures of Phase Space In Multi-dimensional Chaos: Applications To Chemical Reaction Dynamics In Complex Systems by Mikito Toda, Tamiki Komatsuzaki, Tetsuro Konishi, Stephen Berry


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