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R.G. Compton (Author of Electron Tunneling in Chemistry)

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  1. Stanford Libraries;
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  4. Intermittent free diffusion in the presence of sparse obstacles: mean obstacle encounter time.
  6. Modern Aspects of Diffusion-Controlled Reactions. Cooperative Phenomena in Bimolecular Processes.
  7. Catastrophe in diffusion-controlled annihilation dynamics: general scaling properties.

Unlike the usual synergetic effects, these phenomena are characteristed by the appearance of microscopic dynamical clustering of similar reactants, which, however does not violate the macroscopic homogeneity of the system. The many-particle effects are described in terms of the correlation length and critical exponents in much the same way as is done in the theory of critical phenomena phase transitions developed in statistical physics.

It is shown that microscopic self-organisation results in asymptotic decay laws for reactant densities which are unusual for standard physical and chemical kinetics. The corresponding reduction of reaction rate with time is due to the emergence, in the course of bimolecular reaction, of a non-Poisson fluctuation spectrum of reactant densities governing the time development of average.

Diffussion: Activated Process {Texas A&M: Intro to Materials}