Exact results for a three-body reaction-diffusion system
- 1 November 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 46 (10) , R6140-R6142
- https://doi.org/10.1103/physreva.46.r6140
Abstract
A system of particles hopping on a line, singly or as merged pairs, and annihilating in groups of three on encounters, is solved exactly for certain symmetrical initial conditions. The functional form of the density is nearly identical to that found in two-body annihilation, and both systems show ∼1/ √t decrease of particle density for large times.Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Effects of probability of reaction on annihilation reactions in one dimensionJournal of Physics A: General Physics, 1992
- Diffusion annihilation in one dimension and kinetics of the Ising model at zero temperaturePhysical Review A, 1990
- Kinetics of bimolecular reactions in condensed media: critical phenomena and microscopic self-organisationReports on Progress in Physics, 1988
- Asymptotic Behavior of Densities in Diffusion-Dominated Annihilation ReactionsPhysical Review Letters, 1988
- Binary reaction 1+1→0 in one dimensionPhysics Letters A, 1987
- Diffusion-controlled annihilation in the presence of particle sources: Exact results in one dimensionPhysical Review Letters, 1985
- Interacting Particle SystemsPublished by Springer Nature ,1985
- Universal behaviour of N-body decay processesJournal of Physics A: General Physics, 1984
- Diffusion-limited reactions in one dimensionThe Journal of Physical Chemistry, 1983
- Clustering and Dispersion Rates for Some Interacting Particle Systems on $\mathbb{Z}$The Annals of Probability, 1980