Diffusion-Limited One-Species Reactions in the Bethe Lattice
| dc.creator | ben-Avraham, Daniel | |
| dc.creator | Glasser, M. Lawrence | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T07:56:00Z | |
| dc.date.available | 2026-07-07T07:56:00Z | |
| dc.description | We study the kinetics of diffusion-limited coalescence, A+A-->A, and annihilation, A+A-->0, in the Bethe lattice of coordination number z. Correlations build up over time so that the probability to find a particle next to another varies from ρ^2 (ρis the particle density), initially, when the particles are uncorrelated, to [(z-2)/z]ρ^2, in the long-time asymptotic limit. As a result, the particle density decays inversely proportional to time, ρ~ 1/kt, but at a rate k that slowly decreases to an asymptotic constant value. | |
| dc.description | To be published in JPCM, special issue on Kinetics of Chemical Reactions | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0612089 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0612089 | |
| dc.identifier | J. Phys.: Condens. Matter 19, 065107 (2007) | |
| dc.identifier | doi:10.1088/0953-8984/19/6/065107 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127156 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Diffusion-Limited One-Species Reactions in the Bethe Lattice | |
| dc.type | text |