Symmetry-based determination of space-time functions in nonequilibrium growth processes.
We study the space-time correlation and response functions in nonequilibrium growth processes described by linear stochastic Langevin equations. Exploiting exclusively the existence of space- and time-dependent symmetries of the noiseless part of these equations, we derive expressions for the universal scaling functions of two-time quantities which are found to agree with the exact expressions obtained from the stochastic equations of motion. The usefulness of the space-time functions is illustrated through the investigation of two atomistic growth models, the Family model and the restricted Family model, which are shown to belong to a unique universality class in 1+1 and 2+1 space dimensions. This corrects earlier studies which claimed that in 2+1 dimensions the two models belong to different universality classes.
Röthlein
Andreas
A
Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany.
Baumann
Florian
F
Pleimling
Michel
M