2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127156We 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.To be published in JPCM, special issue on Kinetics of Chemical ReactionsStatistical Mechanicstext