Numerical Confirmation of Late-time t¹/² Growth in Three-dimensional Phase Ordering

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Results for the late-time regime of phase ordering in three dimensions are reported, based on numerical integration of the time-dependent Ginzburg-Landau equation with nonconserved order parameter at zero temperature. For very large systems (700³) at late times, t ≥ 150, the characteristic length grows as a power law, R(t) tⁿ, with the measured n in agreement with the theoretically expected result n=1/2 to within statistical errors. In this time regime R(t) is found to be in excellent agreement with the analytical result of Ohta, Jasnow, and Kawasaki [Phys. Rev. Lett. 49, 1223 (1982)]. At early times, good agreement is found between the simulations and the linearized theory with corrections due to the lattice anisotropy.