Measuring a hidden coordinate: Rate-exchange kinetics from 3D correlation functions

摘要: Nonexponential kinetics imply the existence of at least one slow variable other than observable, that is, system has a “hidden” coordinate. We develop simple, but general, model allows multidimensional correlation functions to be calculated for these systems. Homogeneous and heterogeneous mechanisms are both included, exchange rates is allowed. This shows 2D 3D observable measure distribution hidden coordinate controlling rate exchange. Both mean time shape relaxation measurable. However, complications arise because higher sums multiple “pathways,” each which measures different dynamics. Only pathway involves Care must used extract dynamics without contamination from processes.