C. Castellano et M. Zannetti, MULTISCALING TO STANDARD-SCALING CROSSOVER IN THE BRAY-HUMAYUN MODEL FOR PHASE-ORDERING KINETICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(2), 1996, pp. 1430-1440
The Bray-Humayun model for phase-ordering dynamics is solved numerical
ly in one and two space dimensions with conserved and nonconserved ord
er parameter. The scaling properties are analyzed in detail, and we fi
nd the crossover from multiscaling to standard scaling in the conserve
d case. Both in the nonconserved case, and in the conserved case when
standard scaling holds an exponential tail in the scaling function is
found.