ar X iv : c on d - m at / 9 41 10 45 v 1 1 1 N ov 1 99 4 Growth Kinetics for a System with a Conserved Order Parameter : Off Critical

The theory of growth kinetics developed previously is extended to the asymmetric case of off-critical quenches for systems with a conserved scalar order parameter. In this instance the new parameter M , the average global value of the order parameter, enters the theory. For M = 0 one has critical quenches, while for sufficiently large M one approaches the coexistence curve. For all M the theory supports a scaling solution for the order parameter correlation function with the Lifshitz-Slyozov-Wagner growth law L ∼ t1/3. The theoretically determined scaling function depends only on the spatial dimensionality d and the parameter M , and is determined explicitly here in two and three dimensions. Near the coexistence curve oscillations in the scaling function are suppressed. The structure factor displays Porod’s law Q−(d+1) behaviour at large scaled wavenumbers Q, and Q4 behaviour at small scaled wavenumbers, for all M . The peak in the structure factor widens as M increases and develops a significant tail for quenches near the coexistence curve. This is in