The growth of order in a system with continuous symmetry is studied in the time-dependent Ginzburg-Landau model (in the large-$N$ limit), quenched below the coexistence curve. The dynamics are studied with and without conservation of the order parameter. The development of order in the longitudinal direction and the buildup of Nambu-Goldstone modes in the transverse directions are explicitly exhibited. Nontrivial scaling behavior and growth laws are obtained in the long-time regime.

• Received 27 August 1984

DOI:https://doi.org/10.1103/PhysRevLett.53.2106