Saddle Point Avoidance Research Articles

The multicomponent nucleation theory with saddle point avoidance

The process of multicomponent nucleation based on the Fokker—Planck equation for the case when the kinetic rate of one of the components is much smaller than that of the others is studied. The multidimensional Fokker—Planck equation in this case is reduced to the one-dimensional case with the effective potential. Depending on the problem parameters, the obtained expression for the nucleation rate includes a smooth transformation from the regime with saddle point avoidance to the usual nucleation through the saddle region.

The rate constant in the kramers multidimensional theory and the saddle-point avoidance

A special case of the multidimensional Kramers problem, where the traditional picture of the barrier crossing is disrupted due to the friction anisotropy, is discussed. The rate-controlling stage of the process is shown to change under certain conditions and the kinetics is determined by approaching the transition region (i.e. by the intra-well dynamics) instead of crossing this region. The region where the transition occurs may, in general, deviate from the saddle point. A new expression for the rate constant, correct for the whole range of problem parameters, is worked out in the framework of a heuristic picture of the well-to-well transition suggested by Berkowitz et al.

Saddle-point avoidance in diffusional reactions

Saddle-point avoidance in diffusional reactions