Perturbation theory for the one-dimensional trapping reaction

Details Perturbation theory for the one-dimensional trapping reaction Perturbation theory for the one-dimensional trapping reaction

2002-08-21

arxiv.org/abs/cond-mat/0208402v1

J. Phys. A: Math. Gen. (2002) 35 10503

Physics

Condensed Matter

Statistical Mechanics

18 pages, no figures. Uses IOP Latex class

Scientific paper

10.1088/0305-4470/35/49/301

We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known when the number of traps is greater than two, we devise a perturbation series expansion in the diffusion constant of the particle. We calculate the persistence exponent associated with the particle's survival probability to second order and find that it is characterised by the asymmetry in the number of traps initially positioned on each side of the particle.

Affiliated with

Also associated with

No associations

Rating

Perturbation theory for the one-dimensional trapping reaction 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 Perturbation theory for the one-dimensional trapping reaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbation theory for the one-dimensional trapping reaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220592