M. Mondello et N. Goldenfeld, RELAXATIONAL DYNAMICS AFTER THE QUENCH OF A CONSERVED SYSTEM WITH A CONTINUOUS SYMMETRY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(4), 1993, pp. 2384-2393
We study the dynamics of a two-dimensional system with complex conserv
ed order parameter, following a deep quench. In accordance with a rece
nt theoretical prediction, we observe an effective value of the dynami
cal exponent at late times of phi = 0.245 +/- 0.010. While interesting
dynamical effects were noticed in the study of the equal-time correla
tion functions, no evidence of multiscaling behavior was found. A corr
espondence between the quenched dynamics of this system in two dimensi
ons and the dynamics of roughening of crystal-vapor interfaces is poin
ted out. We also study the dynamics in one dimension and find that phi
almost-equal-to 0.18.