We revisit the well-known Lifshitz-Slyozov model for precipitation, from th
e perspective of detailed balance equilibria and saturation density It is s
hown that, in this respect, the Lifshitz-Slyozov model behaves very:differe
ntly from its discrete counterpart, the Becker-Doring system; in particular
it has no saturation density. We propose a modification of the Lifshitz-Sl
yozov model which has a saturation density, and whose detailed balance equi
libria are a continuous analog of those of the Becker-Doring system. Theref
ore this model seems more suitable for the study of phase transitions. Math
ematically, the modified system consists of a parabolic equation coupled to
an integral equation. (C) 1998 Elsevier Science Ltd. All rights reserved.