Abstract
The asymptotic behaviour of solutions to the Becker-Doring cluster equations is analysed. Decay to equilibria is shown to hold when the kinetic coefficients ar, br are O(r). This improves an earlier result of Ball, Carr and Penrose (1986) where an O(r/ln r) estimate was required. The main tool of the decay argument is a 'relaxed' invariance principle first was exposited by Slemrod (1989).