The kinetic equations for the polarization, the exciton distribution functi
on and the anomalous correlation function of a system of coherently excited
weakly interacting excitons are studied including the mean-field terms and
their corresponding collision terms. These kinetic equations are solved by
an adiabatic elimination of the anomalous correlation function. Our numeri
cal results show besides the existence of the Bose-Einstein condensation (B
EC) above the critical density also the slowing-down of the dephasing, when
the critical density of the BEC is approached. (C) 2000 Elsevier Science L
td. All rights reserved.