par Abad Jarillo, Enrique ;Masser, T.;Ben-Avraham, Daniel
Référence Journal of Physics A: Mathematical and General, 35, 7, page (1483-1500)
Publication Publié, 2002-02
Article révisé par les pairs
Résumé : We study the one-dimensional kinetics of diffusion-limited coalescence and annihilation with back reactions and different kinds of particle input. By considering the changes in occupation and parity of a given interval, we derive sets of hierarchical equations from which exact expressions for the lattice coverage and the particle concentration can be obtained. We compare the mean-field approximation and the continuum approximation to the exact solutions and we discuss their regime of validity.