On the rate of convergence to equilibrium in the Becker–Döring equations

We provide an explicit rate of convergence to equilibrium for solutions of the Becker–Döring equations using the energy/energy-dissipation relation. The main difficulty is the structure of equilibria of the Becker–Döring equations, which do not correspond to a Gaussian measure, such that a logarithmic Sobolev-inequality is not available. We prove a weaker inequality which still implies for fast decaying data that the solution converges to equilibrium as e−ct1/3.