W. Koch et V. Dohm, FINITE-SIZE EFFECTS ON CRITICAL DIFFUSION AND RELAXATION TOWARDS METASTABLE EQUILIBRIUM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(2), 1998, pp. 1179-1182
We present an analytic study of finite-size effects on-critical diffus
ion above and below T-c of three-dimensional Ising-like systems whose
order parameter is coupled to-a conserved density; We also calculate t
he finite-size relaxation time that governs the critical order-paramet
er relaxation towards a metastable equilibrium state below T-c. Two un
iversal dynamic amplitude ratios at T-c are predicted and quantitative
predictions of dynamic finite-size scaling functions are given that c
an be tested by Monte Carlo simulations.