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Extra resources for Cationic Ring-Opening Polymerization Of Heterocyclic Monomers
That is, the average passage time is characterized only by a basin through which a trajectory is currently passing and hence does not depend on the next visiting basins. Therefore, it is conceived that as soon as a classical path enters a potential basin, it becomes involved into a chaotic zone in which many paths leading to different channels are entangled among each other, and it effectively (in the statistical sense) loses its memory about which basin it came from and where it should visit next time.
L. Beck, D. M. Leitner, and R. S. Berry, J. Chem. Phys. 89, 1681 (1988). ] atomic clusters: powerful tools to probe complex dynamics 7 with seven or more atoms, might be expected to show a sharper kind of change of behavior because they show clear transitions from solid-like to liquid-like behavior. By contrast, the only faintly comparable behavior of the equilateraltriangular Ar3 is its passage over the potential energy saddle at its linear conﬁguration. However, something interesting does happen there that has led to new insights.
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. Only at the energy of part c does two-phase equilibrium occur. [Reprinted with permission from C. Amitrano and R. S. Berry, Phys. Rev. E 47, 3158 (1993). ] speciﬁc challenge, recognized by the people whose work has just been described, was ﬁnding a way to transform the representation to a form that would separate the reaction coordinate from all the others in a way that would make it possible to recognize and study the kind of regularity that the threebody and four-body systems show.