Diffusion controlled initial recombination

Details Diffusion controlled initial recombination Diffusion controlled initial recombination

1997-10-31

arxiv.org/abs/cond-mat/9710338v2

Phys. Rev. E58, 1533 (1998)

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 11 pages, 1 ps-figures Extended version

Scientific paper

10.1103/PhysRevE.58.1533

This work addresses nucleation rates in systems with strong initial recombination. Initial (or `geminate') recombination is a process where a dissociated structure (anion, vortex, kink etc.) recombines with its twin brother (cation, anti-vortex, anti-kink) generated in the same nucleation event. Initial recombination is important if there is an asymptotically vanishing interaction force instead of a generic saddle-type activation barrier. At low temperatures, initial recombination strongly dominates homogeneous recombination. In a first part, we discuss the effect in one-, two-, and three-dimensional diffusion controlled systems with spherical symmetry. Since there is no well-defined saddle, we introduce a threshold which is to some extent arbitrary but which is restricted by physically reasonable conditions. We show that the dependence of the nucleation rate on the specific choice of this threshold is strongest for one-dimensional systems and decreases in higher dimensions. We discuss also the influence of a weak driving force and show that the transport current is directly determined by the imbalance of the activation rate in the direction of the field and the rate against this direction. In a second part, we apply the results to the overdamped sine-Gordon system at equilibrium. It turns out that diffusive initial recombination is the essential mechanism which governs the equilibrium kink nucleation rate. We emphasize analogies between the single particle problem with initial recombination and the multi-dimensional kink-antikink nucleation problem.

Affiliated with

Also associated with

No associations

Rating

Diffusion controlled initial recombination does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Diffusion controlled initial recombination, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion controlled initial recombination will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591319