Diffusion-Limited Reaction in One Dimension: Paired and Unpaired Nucleation

Details Diffusion-Limited Reaction in One Dimension: Paired and Unpaired Nucleation Diffusion-Limited Reaction in One Dimension: Paired and Unpaired Nucleation

2001-02-15

arxiv.org/abs/cond-mat/0102270v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1063/1.1372763

We consider the dynamics of diffusing particles in one space dimension with annihilation on collision and nucleation (creation of particles) with constant probability per unit time and length. The cases of nucleation of single particles and nucleation in pairs are considered. A new method of analysis permits exact calculation of the steady state density and its time evolution in terms of the three parameters describing the microscopic dynamics: the nucleation rate, the initial separation of nucleated pairs and the diffusivity of a particle. For paired nucleation at sufficiently small initial separation the nucleation rate is proportional to the square of the steady state density. For unpaired nucleation, and for paired nucleation at sufficiently large initial separation, the nucleation rate is proportional to the cube of the steady state density.

Affiliated with

Also associated with

No associations

Rating

Diffusion-Limited Reaction in One Dimension: Paired and Unpaired Nucleation 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-Limited Reaction in One Dimension: Paired and Unpaired Nucleation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion-Limited Reaction in One Dimension: Paired and Unpaired Nucleation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-202681