Geometry of Chemical Reaction Dynamics in Gas and Condensed Phases

agenda presented in the morning session on 9th Junein Telluride, Colorado, June 10 - 14 (2013). 
Meeting Venue:
Telluride Intermediate School (Middle-High School), 725 West Colorado Avenue (map)
This workshop focuses on complexity of dynamics and kinetics in 
reactions from small to large systems in terms of the underlying 
multidimensional dynamic, phase space structure. Dynamic inhomogeneity 
of phase space is known to often result in non-RRKM behavior in chemical 
reactions, but the underlying mechanism has not been well established 
yet in the language of phase space for many-dimensional reacting 
systems. One of the key concepts is the so-called normally hyperbolic 
invariant manifold (NHIM) which mediates chemical reactions in a 
deterministic fashion even in a sea of chaos, and thermal fluctuation. 
The NHIM takes the place of the periodic orbit dividing surface (PODS) 
which is one of the most succeeded concepts developed several decades 
ago for low dimensional systems that enabled us to resolve the complex 
behavior in reaction dynamics. However, there yet exist many problems to 
be resolved for NHIM. For example, how does NHIM break down (or in the 
other term, how is selectivity of reactions spoiled) as an increase of 
energy, what is the key phase space structure for reactions through 
higher-index saddles, what is the corresponding counterpart in 
dissipative Langevin systems or quantum mechanics, how can one make use 
of these geometrical objects to design the laser field that controls 
reactions in applications, how one can extract the NHIM or the stable/
unstable manifolds from experimental time series? These are just some of 
the subjects to be resolved. 

This workshop is aimed at having an interdisciplinary meeting that makes 
researchers in different fields (from mathematics, chemistry, nonlinear 
and biological physics) get together to tackle such new paradigm, and 
exploring the new, exciting, open questions, by stirring different 
disciplines. The time slot for each speaker is about one hour including 
30 minutes interactive discussions with the audience. The program 
through a week is usually not fully occupied and allows the participants 
to exchange ideas more in detail and think new possible collaborations 
during the meeting.