Resonance statistical behavior

RESONANCES IN UNIMOLECULAR DISSOCIATION FROM MODE-SPECIFIC TO STATISTICAL BEHAVIOR... 

R. Schinke, H.-M. Keller, M. Stumpf, C. Beck, D. H. Mordaunt, and A. J. Dobbyn, Adv. Chem. Phys., Vol. 101, Resonances in Unimolecular Dissociation From Mode-Specific to Statistical Behavior. 

Schinke, R, H.-M. Keller, et al. (1997). Resonances in unimolecular dissociation from mode-specific to statistical behavior. Chem. Phys. 101, 745. 

The four examples presented by R. Schinke, from regular resonance decay of HCO to the irregular behavior of HO2, are cases for the textbooks [1]. They should serve also as touchstones for approximate theories such as RRKM or SAC [2], and, if I may add, I think it is not primarily the task of R. Schinke, but of the proponents of RRKM, SAC, etc., to verify their statistical theories. 

The statistical prior distribution predicts for triatomic molecules a more resonant behavior of energy-transfer processes than in the diatomic cases. 

Nonlinear resonances are important factors in reaction processes of systems with many degrees of freedom. The contributions of Konishi and of Honjo and Kaneko discuss this problem. Konishi analyzes, by elaborate numerical calculations, the so-called Arnold diffusion, a slow movement along a single resonance under the influence of other resonances. Here, he casts doubt on the usage of the term diffusion. In other words, Arnold diffusion is a dynamics completely different from random behavior in fully chaotic regions where most of the invariant structures are lost. Hence, understanding Arnold diffusion is essential when we go beyond the conventional statistical theory of reaction dynamics. The contribution of Honjo and Kaneko discusses dynamics on the network of nonlinear resonances (i.e., the Arnold web), and stresses the importance of resonance intersections since they play the role of the hub there. 

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