Diffusion and chemical reaction in a one-dimensional condensed system

A theory of diffusion processes and chemical reactions based on an integration of the Liouville equation is proposed. A diffusion equation for the probability density in phase space is obtained, and the equation is integrated for a special set of boundary conditions which express that the particle disappears when it reaches a critical energy. It is shown that the rate with which it is annihilated, which is an estimate of the rate of escaping a potential minimum, is characterized by an activation energy, and that the pre-exponential factor is strongly dependent on the frequency for the motion of the particle in the potential minimum. For the special case of an unperturbed potential which is harmonic this can be interpreted as a mass dependence, and it is found that the pre-exponential factor is inversely proportional to m 2.SCOPUS: ar.jNOTXTinfo:eu-repo/semantics/publishe

General discussion

SCOPUS: no.jinfo:eu-repo/semantics/publishe