Cluster persistence in one-dimensional diffusion--limited cluster--cluster aggregation

Details Cluster persistence in one-dimensional diffusion--limited cluster--cluster aggregation Cluster persistence in one-dimensional diffusion--limited cluster--cluster aggregation

2002-06-10

arxiv.org/abs/cond-mat/0206139v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures, RevTeX4, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.66.051108

The persistence probability, $P_C(t)$, of a cluster to remain unaggregated is studied in cluster-cluster aggregation, when the diffusion coefficient of a cluster depends on its size $s$ as $D(s) \sim s^\gamma$. In the mean-field the problem maps to the survival of three annihilating random walkers with time-dependent noise correlations. For $\gamma \ge 0$ the motion of persistent clusters becomes asymptotically irrelevant and the mean-field theory provides a correct description. For $\gamma < 0$ the spatial fluctuations remain relevant and the persistence probability is overestimated by the random walk theory. The decay of persistence determines the small size tail of the cluster size distribution. For $0 < \gamma < 2$ the distribution is flat and, surprisingly, independent of $\gamma$.

Affiliated with

Also associated with

No associations

Rating

Cluster persistence in one-dimensional diffusion--limited cluster--cluster aggregation 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 Cluster persistence in one-dimensional diffusion--limited cluster--cluster aggregation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cluster persistence in one-dimensional diffusion--limited cluster--cluster aggregation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-78976