PubMed Health⌕ Search

Biomedical subjects

T O Masser

Publications and source records attributed to T O Masser.

2 recordsLinked to original sources
PubMed2001

Correlation functions for diffusion-limited annihilation, A+A-->0.

The full hierarchy of multiple-point correlation functions for diffusion-limited annihilation, A+A-->0, is obtained analytically and explicitly, following the method of intervals. In the long-time asymptotic limit, the correlation functions of annihilation are identical to those of coalescence, A+A-->A, despite differences between the two models in other statistical measures, such as the interparticle distribution function.

Journal Article↗
PubMed2001

Method of intervals for the study of diffusion-limited annihilation, A+A-->0.

We introduce a method of intervals for the analysis of diffusion-limited annihilation, A+A-->0, on the line. The method leads to manageable diffusion equations whose interpretation is intuitively clear. As an example, we treat the following cases: (a) annihilation in the infinite line and in infinite (discrete) chains; (b) annihilation with input of single particles, adjacent particle pairs, and particle pairs separated by a given distance; (c) annihilation, A+A-->0, along with the birth reaction A-->3A, on finite rings, with and without diffusion.

Journal Article↗