We present an analytic study of finite-size effects on critical diffusion above and below $T_c$ of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size relaxation time that governs the critical order-parameter relaxation towards a metastable equilibrium state below $T_c.$ Two universal dynamic amplitude ratios at $T_c$ are predicted and quantitative predictions of dynamic finite-size scaling functions are given that can be tested by Monte Carlo simulations.

• Received 6 February 1998

DOI:https://doi.org/10.1103/PhysRevE.58.R1179