Brownian motion energy distribution function

Our approach to the study of the departure from equilibrium in chemical reactions and of the "microscopic theory of chemical kinetics is a discrete quantum-mechanical analog of the Kramers-Brownian-motion model. It is most specifically applicable to a study of the energy-level distribution function and of the rate of activation in unimolecular (dissociation Reactions. Our model is an extension of one which we used in a discussion of the relaxation of vibrational nonequilibrium distributions.14 18 20... 

Imagine putting two solute molecules in water. Brownian motion separates them by different distances r at different times. Suppose you plot how often the solute molecules are found at separation r, for all possible values r = 0 to r 00. This is the radial distribution function g(r) (see page 461). iv(r), the potential of mean force (pmf), is dehned as the corresponding free energy,... 

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