DOMAIN-GROWTH SCALING IN SYSTEMS WITH LONG-RANGE INTERACTIONS

The growth kinetics of a system quenched into the ordered phase from high temperatures is considered for systems with power-law interactions of the form 1/r(d + sigma), with 0 < sigma < 2. For sigma > 1, the characteristic scale L(t), which describes the growth of order at late times, is predicted to obey the conventional Lifshitz-Slyozov and Lifshitz-Cahn-Allen laws, L(t) approximately t1/3 and t1/2 for conserved and nonconserved scalar order parameters, respectively. For sigma < 1, the results L(t) approximately t1/(2 + sigma) and t1/(1 + sigma), respectively, are obtained. For a vector order parameter, we find L(t) approximately t1/(2 + sigma) and t1/sigma for conserved and nonconserved fields, respectively, for all sigma < 2.